Correct Answer: A file that contains one or more worksheets
Explanation:
A workbook is the entire Excel file, and it can contain multiple worksheets (sheets) within it.
Incorrect! Try again.
2What is the default file extension for an Excel workbook in modern versions?
basic introduction to sheets/workbook
Easy
A..txt
B..docx
C..xlsx
D..pptx
Correct Answer: .xlsx
Explanation:
Modern Excel workbooks are saved with the .xlsx extension, while .docx and .pptx belong to Word and PowerPoint.
Incorrect! Try again.
3In Excel, a cell is best described as:
cell
Easy
A.A horizontal line of data only
B.The intersection of a row and a column
C.A saved copy of the workbook
D.A collection of all worksheets
Correct Answer: The intersection of a row and a column
Explanation:
A cell is the basic unit of a worksheet, formed where a row and a column intersect, such as cell A1.
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4What does the cell reference B3 indicate?
cell
Easy
A.Column B, Row 3
B.Row B, Column 3
C.The third workbook
D.Block number 3
Correct Answer: Column B, Row 3
Explanation:
A cell reference lists the column letter first followed by the row number, so B3 means column B and row 3.
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5In an Excel worksheet, rows are identified by:
row
Easy
A.Letters (A, B, C, ...)
B.Roman numerals (I, II, III)
C.Symbols (@, #, $)
D.Numbers (1, 2, 3, ...)
Correct Answer: Numbers (1, 2, 3, ...)
Explanation:
Rows in Excel run horizontally and are labelled with numbers, while columns are labelled with letters.
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6In an Excel worksheet, columns are labelled using:
columns
Easy
A.Dates (Jan, Feb, ...)
B.Letters (A, B, C, ...)
C.Numbers (1, 2, 3, ...)
D.Colours (Red, Blue, ...)
Correct Answer: Letters (A, B, C, ...)
Explanation:
Columns run vertically in Excel and are labelled with letters such as A, B, and C.
Incorrect! Try again.
7In Excel, every formula must begin with which symbol?
basic operations
Easy
A.# (hash sign)
B.@ (at sign)
C.= (equals sign)
D.+ (plus sign)
Correct Answer: = (equals sign)
Explanation:
A formula in Excel always starts with an equals sign, for example =A1+B1.
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8Which function is used to add a range of numbers in Excel?
basic operations
Easy
A.COUNT
B.AVERAGE
C.SUM
D.MAX
Correct Answer: SUM
Explanation:
The SUM function adds all the numbers in a specified range, e.g. =SUM(A1:A10).
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9Which Excel function returns the arithmetic mean of a group of numbers?
basic operations
Easy
A.SUM
B.ROUND
C.AVERAGE
D.COUNT
Correct Answer: AVERAGE
Explanation:
The AVERAGE function calculates the arithmetic mean of the given values, e.g. =AVERAGE(A1:A5).
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10In Excel, an add-in is best described as:
use of all excel options and add-ins
Easy
A.An extra program that adds features to Excel
B.A shortcut to close the file
C.A single cell containing a total
D.A saved chart template
Correct Answer: An extra program that adds features to Excel
Explanation:
Add-ins are supplemental programs that provide additional commands or features, such as the Analysis ToolPak.
Incorrect! Try again.
11Which Excel add-in is commonly used for statistical data analysis?
use of all excel options and add-ins
Easy
A.Print Preview
B.Zoom Slider
C.Analysis ToolPak
D.Spell Check
Correct Answer: Analysis ToolPak
Explanation:
The Analysis ToolPak is an add-in that provides statistical tools like regression, histograms, and descriptive statistics.
Incorrect! Try again.
12Which of the following is an example of discrete data?
tabulation and graphical Presentation: discrete data, continuous data and frequency distributions
Easy
A.Weight of parcels in kg
B.Height of students in cm
C.Temperature of a room
D.Number of students in a class
Correct Answer: Number of students in a class
Explanation:
Discrete data can take only whole-number, countable values, such as the number of students, which cannot be a fraction.
Incorrect! Try again.
13Which of the following is an example of continuous data?
tabulation and graphical Presentation: discrete data, continuous data and frequency distributions
Easy
A.Number of goals scored
B.Height of a person
C.Number of cars in a lot
D.Number of books on a shelf
Correct Answer: Height of a person
Explanation:
Continuous data can take any value within a range, including fractions and decimals, such as height measured in centimetres.
Incorrect! Try again.
14In a frequency distribution, the frequency of a value refers to:
tabulation and graphical Presentation: discrete data, continuous data and frequency distributions
Easy
A.The average of all values
B.The smallest value in the data
C.The largest value in the data
D.The number of times it occurs
Correct Answer: The number of times it occurs
Explanation:
Frequency is simply how many times a particular value or class appears in the data set.
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15The main advantage of representing data using diagrams and graphs is that they:
diagrammatic and graphical representation of data
Easy
A.Remove all errors from the data
B.Convert qualitative data into money
C.Increase the total number of observations
D.Make data easier to understand at a glance
Correct Answer: Make data easier to understand at a glance
Explanation:
Diagrams and graphs present data visually, making patterns and comparisons quick and easy to grasp.
Incorrect! Try again.
16A bar diagram represents data using:
bar diagram
Easy
A.Rectangular bars of equal width
B.Connected straight line segments
C.Continuous adjacent rectangles
D.Circular slices of a circle
Correct Answer: Rectangular bars of equal width
Explanation:
In a bar diagram, data categories are shown as separate rectangular bars of equal width, with heights proportional to their values.
Incorrect! Try again.
17A pie-chart displays data as:
pie-chart
Easy
A.Points joined by a smooth curve
B.Bars arranged along a horizontal axis
C.Rows and columns of numbers
D.Slices of a circle representing proportions
Correct Answer: Slices of a circle representing proportions
Explanation:
A pie-chart divides a circle into sectors, where each slice represents a category's proportion of the whole.
Incorrect! Try again.
18The total angle of all sectors in a pie-chart equals:
pie-chart
Easy
A.
B.
C.
D.
Correct Answer:
Explanation:
A pie-chart is a full circle, so the angles of all its sectors add up to .
Incorrect! Try again.
19A line chart is most suitable for showing:
line chart
Easy
A.Trends over time
B.Proportions of a whole
C.Comparison of unrelated categories
D.Frequency of grouped classes
Correct Answer: Trends over time
Explanation:
Line charts connect data points with lines and are ideal for displaying how values change over time.
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20A key feature that distinguishes a histogram from a bar diagram is that a histogram has:
histogram
Easy
A.Bars drawn with wide gaps
B.Bars with no gaps between them
C.Bars that are always circular
D.Only one bar per chart
Correct Answer: Bars with no gaps between them
Explanation:
A histogram represents continuous data, so its bars are drawn adjacent with no gaps, unlike the separated bars of a bar diagram.
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21In Excel, if the active cell reference shown in the Name Box is D7, what does this indicate about the cell's position?
cell, row, columns
Medium
A.Column 7, Row D
B.Sheet D, Cell 7
C.Row D, Column 7
D.Column D, Row 7
Correct Answer: Column D, Row 7
Explanation:
Excel cell references list the column letter first followed by the row number, so D7 means the cell in column D and row 7.
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22A cell contains the formula =B2+B3*B4. If B2=2, B3=3, and B4=4, what value is displayed?
basic operations
Medium
A.20
B.24
C.9
D.14
Correct Answer: 14
Explanation:
Excel follows operator precedence: multiplication first (), then addition ().
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23Which formula correctly uses an absolute reference so that copying it down keeps referring to cell C1?
basic operations
Medium
A.=$A2*C$1
B.=A2*$C$1
C.=A$2*$C1
D.=A2*C1
Correct Answer: =A2*$C$1
Explanation:
The $ before both the column letter and row number in $C$1 locks the reference completely, so it does not change when copied.
Incorrect! Try again.
24In a single Excel file, what is the correct relationship between a workbook and a worksheet?
basic introduction to sheets/workbook
Medium
A.A workbook can contain many worksheets
B.A worksheet contains many workbooks and cells
C.A workbook and worksheet are the same thing
D.A worksheet can contain many workbooks
Correct Answer: A workbook can contain many worksheets
Explanation:
An Excel workbook is the file itself and may hold multiple worksheets (tabs), each made up of a grid of cells.
Incorrect! Try again.
25Which function should be used to count only the cells in range A1:A10 that contain numbers?
basic operations
Medium
A.=COUNTBLANK(A1:A10)
B.=SUM(A1:A10)
C.=COUNTA(A1:A10)
D.=COUNT(A1:A10)
Correct Answer: =COUNT(A1:A10)
Explanation:
COUNT counts numeric entries only, whereas COUNTA counts all non-empty cells including text.
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26Which Excel add-in must typically be enabled to perform statistical procedures such as regression and ANOVA?
use of all excel options and add-ins
Medium
A.Solver Add-in
B.Analysis ToolPak
C.Power Query
D.Format Painter
Correct Answer: Analysis ToolPak
Explanation:
The Analysis ToolPak provides statistical tools like regression, ANOVA, and descriptive statistics; it must be enabled from the Add-ins options.
Incorrect! Try again.
27The Solver add-in in Excel is primarily used for which purpose?
use of all excel options and add-ins
Medium
A.Creating pivot tables automatically
B.Importing data from web pages
C.Formatting large tables quickly
D.Finding optimal values under constraints
Correct Answer: Finding optimal values under constraints
Explanation:
Solver performs optimization by adjusting decision variables to maximize or minimize a target cell subject to specified constraints.
Incorrect! Try again.
28Which of the following is an example of continuous data?
discrete data, continuous data and frequency distributions
Medium
A.Height of students in cm
B.Count of defective items
C.Number of children in a family
D.Number of cars in a parking lot
Correct Answer: Height of students in cm
Explanation:
Continuous data can take any value within a range (e.g., height), whereas the others are counts that take only whole-number (discrete) values.
Incorrect! Try again.
29For the class interval in a frequency distribution, what is the class mark (mid-point)?
discrete data, continuous data and frequency distributions
Medium
A.10
B.30
C.25
D.20
Correct Answer: 25
Explanation:
The class mark is the average of the lower and upper limits: .
Incorrect! Try again.
30In a continuous frequency distribution with class intervals , the class width (size) of each interval is:
discrete data, continuous data and frequency distributions
Medium
A.10
B.15
C.5
D.20
Correct Answer: 10
Explanation:
Class width equals the difference between the upper and lower boundaries of a class: .
Incorrect! Try again.
31Which type of diagram is most appropriate to compare the total sales of five different products in a single year?
bar diagram
Medium
A.Histogram
B.Frequency polygon
C.Simple bar diagram
D.Ogive curve
Correct Answer: Simple bar diagram
Explanation:
A simple bar diagram uses separate bars of equal width to compare discrete categories such as different products.
Incorrect! Try again.
32A bar diagram that shows each bar divided into segments representing sub-categories is called a:
bar diagram
Medium
A.Sub-divided (component) bar diagram
B.Percentage bar diagram
C.Multiple bar diagram
D.Simple bar diagram
Correct Answer: Sub-divided (component) bar diagram
Explanation:
A sub-divided or component bar diagram splits each bar into parts to show the contribution of each component to the total.
Incorrect! Try again.
33In a pie chart, an item that accounts for of the total will occupy a sector of what angle?
pie-chart
Medium
A.
B.
C.
D.
Correct Answer:
Explanation:
The angle equals the percentage of : .
Incorrect! Try again.
34A category represents a value of 50 out of a total of 200. What central angle should its slice occupy in a pie chart?
pie-chart
Medium
A.
B.
C.
D.
Correct Answer:
Explanation:
Angle .
Incorrect! Try again.
35A line chart is most suitable for displaying which kind of information?
line chart
Medium
A.Distribution of a single continuous variable
B.Proportion of parts to a whole
C.Trend of a variable over time
D.Comparison of unrelated categories
Correct Answer: Trend of a variable over time
Explanation:
Line charts connect data points in sequence and are ideal for showing how a variable changes over time or another ordered scale.
Incorrect! Try again.
36What is the key difference between a histogram and a bar diagram?
histogram
Medium
A.Histogram bars have gaps; bar diagram bars touch
B.Both always have gaps between bars
C.Both never have gaps between bars
D.Histogram bars touch each other; bar diagram bars have gaps
Correct Answer: Histogram bars touch each other; bar diagram bars have gaps
Explanation:
A histogram represents continuous data so adjacent bars touch, while a bar diagram represents discrete categories with gaps between bars.
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37When class intervals in a histogram are of unequal width, what should be plotted on the vertical axis to keep areas proportional to frequency?
histogram
Medium
A.Frequency density
B.Cumulative frequency
C.Raw frequency
D.Class mark
Correct Answer: Frequency density
Explanation:
With unequal widths, frequency density () is plotted so that the area of each bar remains proportional to its frequency.
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38A frequency polygon is constructed by plotting frequencies against which value on the x-axis?
frequency polygon and Ogive curves
Medium
A.Class mid-points
B.Cumulative frequencies
C.Lower class limits
D.Upper class limits
Correct Answer: Class mid-points
Explanation:
A frequency polygon joins points plotted at the mid-point (class mark) of each interval against its frequency.
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39The point where the 'less than' ogive and the 'more than' ogive intersect gives the value of the:
frequency polygon and Ogive curves
Medium
A.Median
B.Range
C.Mean
D.Mode
Correct Answer: Median
Explanation:
The x-coordinate of the intersection of the two ogives corresponds to the median of the distribution.
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40To plot a 'less than' ogive, cumulative frequencies are plotted against which values?
graphs and their presentation
Medium
A.Upper class boundaries
B.Class mid-points
C.Lower class boundaries
D.Class widths
Correct Answer: Upper class boundaries
Explanation:
A 'less than' ogive plots cumulative frequency against the upper class boundary of each interval, producing a rising S-shaped curve.
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41In Excel, cell B3 contains the formula =A$1*$A2. If this formula is copied to cell D5, what will the resulting formula be?
cell, row, columns
Hard
A.=C$1*$A4
B.=D$1*$A5
C.=A$1*$A4
D.=C$3*$A5
Correct Answer: =C$1*$A4
Explanation:
The move is 2 columns right () and 2 rows down (). In A$1, the column A is relative (shifts to C), the row is absolute ($1 stays). In $A2, the column is absolute ($A stays), the row is relative (). Result: =C$1*$A4.
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42A dataset has values in A1:A10. Which formula correctly returns the number of cells whose value is strictly greater than the average of the range, excluding any text or blank entries?
COUNTIF requires the criterion as a text string, so the operator ">" must be concatenated with the computed average using &. AVERAGE ignores text and blanks automatically. The second option treats the whole thing as a literal string, the third is invalid syntax, and SUMIF sums values instead of counting them.
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43For a continuous frequency distribution with class intervals of unequal width, the correct height of each histogram bar should be proportional to which quantity?
continuous data and frequency distributions
Hard
A.Raw frequency of each class
B.Relative frequency as a percentage
C.Frequency density, computed as
D.Cumulative frequency up to that class
Correct Answer: Frequency density, computed as
Explanation:
With unequal class widths, plotting raw frequency as bar height distorts the visual area. The area of each bar must represent frequency, so height must equal frequency density . This preserves the principle that area is proportional to frequency.
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44The point where the 'less than' ogive and the 'more than' ogive intersect, when a perpendicular is dropped to the x-axis, gives which statistical measure?
Ogive curves
Hard
A.The median
B.The mode
C.The geometric mean
D.The arithmetic mean
Correct Answer: The median
Explanation:
At the intersection of the two ogives, the cumulative frequency from below equals the cumulative frequency from above, i.e., both equal . The corresponding x-value is therefore the median of the distribution.
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45In a pie chart representing a budget, the 'Housing' category has a sector angle of . If total expenditure is , what amount corresponds to Housing?
pie-chart
Hard
A.
B.
C.
D.
Correct Answer:
Explanation:
The fraction of the whole is . Housing .
Incorrect! Try again.
46You want to run a regression analysis with residual plots directly in Excel without writing formulas. Which built-in add-in provides this functionality, and where must it be enabled?
use of all excel options and add-ins
Hard
A.Power Query, enabled through the Data tab by default
B.Analysis ToolPak, enabled via File → Options → Add-ins → Manage Excel Add-ins → Go
C.Power Pivot, enabled automatically in all Excel versions
D.Solver, enabled via the Formulas tab under Calculation Options
Correct Answer: Analysis ToolPak, enabled via File → Options → Add-ins → Manage Excel Add-ins → Go
Explanation:
The Analysis ToolPak provides Regression (with residual/line-fit plots), ANOVA, histograms, and more. It is not active by default and must be enabled through File → Options → Add-ins → Manage: Excel Add-ins → Go, then checking the box. Solver handles optimization, and Power Query handles data transformation.
Incorrect! Try again.
47Which statement best distinguishes a histogram from a bar diagram?
histogram
Hard
A.A histogram can only show percentages while a bar diagram shows raw counts
B.A histogram always uses vertical bars while a bar diagram uses horizontal bars
C.In a histogram bars touch each other because the variable is continuous, whereas in a bar diagram bars are separated because categories are discrete
D.A histogram requires equal class widths while a bar diagram allows unequal widths
Correct Answer: In a histogram bars touch each other because the variable is continuous, whereas in a bar diagram bars are separated because categories are discrete
Explanation:
The key distinction is the nature of the data. Histograms represent continuous data with adjoining bars (no gaps) reflecting continuity of class intervals, while bar diagrams represent discrete/categorical data with gaps between bars. Orientation and units are not the defining difference.
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48When constructing a frequency polygon directly (without a histogram), each point is plotted using which pair of coordinates?
frequency polygon and Ogive curves
Hard
A.(class width, frequency density)
B.(lower class boundary, cumulative frequency)
C.(upper class boundary, frequency)
D.(class mid-point, frequency)
Correct Answer: (class mid-point, frequency)
Explanation:
A frequency polygon plots the frequency of each class against the mid-point (class mark) of that class, then joins the points with straight lines. Upper boundaries with cumulative frequency describe an ogive, not a frequency polygon.
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49A user enters =IF(A1>0,SQRT(A1),"NA") in cell B1. If A1 contains -4, and then A1 is changed to text "9", what does B1 display in each case respectively?
basic operations
Hard
A.NA then NA
B.#VALUE! then 3
C.#NUM! then NA
D.NA then 3
Correct Answer: NA then 3
Explanation:
When A1 = -4, the condition A1>0 is false, so B1 shows "NA" (SQRT of a negative is never evaluated). When A1 holds text "9", Excel coerces the numeric text in comparison so 9>0 is true and SQRT(9)=3. Excel treats numeric text as a number in these arithmetic contexts.
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50For discrete data such as the number of children per family, which graphical representation is most appropriate?
discrete data
Hard
A.A line/spike chart or bar diagram with gaps between values
B.A histogram with adjoining bars
C.A smoothed frequency curve
D.A cumulative ogive with continuous class boundaries
Correct Answer: A line/spike chart or bar diagram with gaps between values
Explanation:
Discrete data take isolated values (0, 1, 2, ...), so they are best shown with separated bars or vertical spikes at each distinct value. Histograms and smoothed curves imply continuity, which misrepresents discrete variables.
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51A worksheet has data in rows 1–1000. You define a named range Sales referring to =Sheet1!$B$2:$B$1000. Which formula correctly returns the last non-empty numeric value in that column, assuming no gaps affect it?
cell, row, columns
Hard
A.=VLOOKUP(MAX(Sales),Sales,1)
B.=INDEX(Sales,COUNT(Sales)) only if there are no blanks anywhere
C.=LOOKUP(2,1/(Sales<>""),Sales)
D.=OFFSET(Sales,COUNTA(Sales),0)
Correct Answer: =LOOKUP(2,1/(Sales<>""),Sales)
Explanation:
LOOKUP(2,1/(Sales<>""),Sales) creates an array of 1s (for non-blank) and errors (for blank); since 2 is never found, LOOKUP returns the last valid match — the last non-empty value. This works even with gaps, unlike the INDEX/COUNT approach which fails when blanks exist mid-range.
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52A dual-axis (secondary axis) chart is most appropriate in which situation?
graphs and their presentation
Hard
A.When the data are purely categorical with no numeric measure
B.When representing parts of a single whole
C.When all data series share identical scales and units
D.When two data series have very different magnitudes or units but a related trend should be compared
Correct Answer: When two data series have very different magnitudes or units but a related trend should be compared
Explanation:
A secondary axis lets you plot two series with widely differing scales (e.g., revenue in millions vs. profit margin in %) so both trends are visible. Identical scales need no second axis, part-to-whole data suits a pie chart, and categorical-only data needs no numeric axis.
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53A class interval is stated as in an inclusive (discrete) presentation. When converting to continuous class boundaries for a histogram, what does this interval become?
continuous data and frequency distributions
Hard
A.
B.
C.
D.
Correct Answer:
Explanation:
For inclusive classes like and , the gap of 1 unit is split by subtracting from each lower limit and adding to each upper limit. Thus becomes , making classes contiguous for histogram construction.
Incorrect! Try again.
54In a percentage (100%) stacked bar diagram comparing three regions, one bar's segment for 'Product A' appears larger than another region's 'Product A' segment. What can you definitively conclude?
bar diagram
Hard
A.Both regions have equal totals
B.Product A has a larger absolute value in that region
C.Product A forms a larger proportion of that region's total, not necessarily a larger absolute amount
D.Product A's absolute quantity is identical across the two regions
Correct Answer: Product A forms a larger proportion of that region's total, not necessarily a larger absolute amount
Explanation:
In a 100% stacked bar, every bar is scaled to the same total height (100%), so segment sizes show proportions, not absolute values. A larger segment means a larger share of that region's total; the absolute quantity depends on each region's underlying total, which is hidden.
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55You have a large table and want to summarize sales by region and month interactively, with drag-and-drop reconfiguration. Which Excel feature is designed for this, and what is a key requirement of the source data?
use of all excel options and add-ins
Hard
A.A PivotTable, which requires the source data to have a single header row with no fully blank columns
B.Data Validation, which requires the data to be in a single column
C.A regular chart, which requires the data to be pre-sorted alphabetically
D.Conditional Formatting, which requires named ranges for each region
Correct Answer: A PivotTable, which requires the source data to have a single header row with no fully blank columns
Explanation:
PivotTables allow interactive drag-and-drop summarization across dimensions. They need well-structured source data: one header row of unique field names and no entirely blank columns/rows within the range. The other features do not provide multidimensional summarization.
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56A line chart plots monthly values but has missing data for two months. Excel's default 'Show empty cells as' setting for a line chart is 'Gaps'. What visual result does this produce, and which alternative connects the line across the gap?
line chart
Hard
A.A flat zero line across the missing points; choosing 'Gaps' bridges them
B.Duplicated last known value; choosing 'Gaps' bridges them
C.Breaks in the line at missing points; choosing 'Connect data points with line' bridges them
D.Interpolated curved segments; choosing 'Zero' bridges them
Correct Answer: Breaks in the line at missing points; choosing 'Connect data points with line' bridges them
Explanation:
With the 'Gaps' setting, missing values create breaks in the line. Selecting 'Connect data points with line' (Hidden and Empty Cells option) draws a straight segment across the gap. The 'Zero' setting instead plots the missing points at zero, which would misleadingly drop the line.
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57A formula in Sheet2 reads =SUM('Jan Data:Mar Data'!B2). What kind of reference is this, and what does it compute?
basic introduction to sheets/workbook
Hard
A.An error, because sheet names cannot contain spaces
B.A 3-D reference summing cell B2 across all sheets positioned from 'Jan Data' to 'Mar Data'
C.A relative reference to a range on a single sheet named 'Jan Data:Mar Data'
D.An external workbook reference to three linked files
Correct Answer: A 3-D reference summing cell B2 across all sheets positioned from 'Jan Data' to 'Mar Data'
Explanation:
The colon between sheet names denotes a 3-D reference, summing the same cell (B2) across every sheet located between 'Jan Data' and 'Mar Data' in tab order. Single quotes are required because the sheet names contain spaces, so it is valid, not an error.
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58Which of the following is a fundamental limitation of diagrammatic representation compared to tabulation?
diagrammatic and graphical representation of data
Hard
A.Diagrams give only an approximate visual impression and cannot convey precise numerical values
B.Diagrams eliminate the need for a title and source note
C.Diagrams are always more suitable for statistical computation than tables
D.Diagrams can display far more decimal precision than tables
Correct Answer: Diagrams give only an approximate visual impression and cannot convey precise numerical values
Explanation:
Diagrams excel at conveying trends and comparisons at a glance but sacrifice precision — exact figures cannot be read off them reliably. Tabulation preserves exact values, making it better for detailed analysis and computation. Both still require titles and sources.
Incorrect! Try again.
59When drawing a frequency polygon over a histogram, two extra points are added at each end of the distribution. Why?
frequency polygon and Ogive curves
Hard
A.To convert the polygon into a cumulative ogive
B.To smooth the curve into a normal distribution
C.To increase the number of classes and improve precision
D.To anchor the polygon to the x-axis so the total area enclosed equals the histogram's area
Correct Answer: To anchor the polygon to the x-axis so the total area enclosed equals the histogram's area
Explanation:
The polygon is extended to the mid-points of hypothetical classes with zero frequency at both ends, bringing the line down to the x-axis. This closes the figure so that the area under the frequency polygon equals the area of the histogram, preserving the total frequency.
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60A frequency table for a discrete variable shows values 0–5 with frequencies. To find the proportion of observations at value , you compute the cumulative frequency up to 2 divided by . If frequencies for 0,1,2 are 5, 8, 7 and , what is this proportion?
tabulation and graphical Presentation: discrete data
Hard
A.
B.
C.
D.
Correct Answer:
Explanation:
Cumulative frequency up to value 2 is . The proportion is . This 'less than or equal' cumulative logic underlies the less-than ogive for discrete data.
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