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Unit 2: Graphical Representations and Frequency Distribution - Practice Quiz

PSY115 — Statistical Methods For Psychological Research 60 Questions
0 Correct 0 Wrong 60 Left
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1 What is a major advantage of presenting data graphically?

importance of graphical representation of data Easy
A. It replaces the need for data collection
B. It increases the sample size
C. It removes all errors from data
D. It makes patterns easier to see

2 Which feature makes a graph useful for comparing groups?

importance of graphical representation of data Easy
A. A clear visual display
B. A higher response rate
C. A longer questionnaire
D. A larger research budget

3 A graph showing scores across several months is especially useful for identifying what?

importance of graphical representation of data Easy
A. Trends over time
B. The cause of every score
C. The name of each participant
D. The exact research hypothesis

4 Which graph is commonly used to display ungrouped categorical data?

graphical representation of grouped and ungrouped data Easy
A. Histogram
B. Bar graph
C. Frequency polygon
D. Ogive

5 Which graph is most appropriate for continuous grouped data?

graphical representation of grouped and ungrouped data Easy
A. Pie chart
B. Histogram
C. Simple bar chart
D. Pictograph

6 In a histogram, the bars usually touch because the data are:

graphical representation of grouped and ungrouped data Easy
A. Qualitative only
B. Unrelated
C. Nominal
D. Continuous

7 Which graph uses sectors of a circle to show parts of a whole?

graphical representation of grouped and ungrouped data Easy
A. Pie chart
B. Frequency polygon
C. Stem-and-leaf plot
D. Histogram

8 What does frequency mean in a frequency distribution?

frequency distributions Easy
A. The difference between two values
B. The largest value in a set
C. The average value of a set
D. The number of times a value occurs

9 What is the main purpose of a frequency distribution?

frequency distributions Easy
A. To calculate only the median
B. To identify individual participants
C. To organize data by frequency
D. To prove a research theory

10 If the scores are 2, 3, 3, 4, and 4, what is the frequency of the score 3?

frequency distributions Easy
A. 2
B. 4
C. 3
D. 1

11 What is a class interval in a grouped frequency distribution?

frequency distributions Easy
A. The total number of observations
B. A range of values
C. The difference between the mean and median
D. A single participant's score

12 If the frequencies in a distribution are 4, 6, and 5, what is the total frequency?

frequency distributions Easy
A. 9
B. 20
C. 10
D. 15

13 In statistical terminology, a decile divides an ordered data set into how many equal parts?

docile Easy
A. One hundred parts
B. Five parts
C. Four parts
D. Ten parts

14 The fifth decile, , is equivalent to which measure?

docile Easy
A. The variance
B. The median
C. The mode
D. The range

15 Which decile represents approximately the 20th percentile?

docile Easy
A.
B.
C.
D.

16 Quartiles divide an ordered data set into how many equal parts?

quartile Easy
A. Two parts
B. Ten parts
C. Four parts
D. Three parts

17 Which quartile is also called the median?

quartile Easy
A.
B.
C.
D.

18 The first quartile, , represents approximately which percentile?

quartile Easy
A. 75th percentile
B. 10th percentile
C. 25th percentile
D. 50th percentile

19 What does the 80th percentile indicate?

percentile Easy
A. It is always the highest score
B. 80% of scores are above it
C. It is the average of all scores
D. 80% of scores are at or below it

20 A percentile is used to describe the relative position of a score within a:

percentile Easy
A. Distribution
B. Laboratory instrument
C. Research hypothesis
D. Questionnaire

21 A researcher wants to compare anxiety scores for three different therapy groups quickly. Which graphical method is most appropriate?

importance of graphical representation of data Medium
A. A frequency polygon showing categories
B. A bar graph showing group means
C. A pie chart showing score ranges
D. A histogram showing all individual scores

22 A distribution has a few extremely high scores. Which advantage of a graph would help a researcher identify this feature most easily?

importance of graphical representation of data Medium
A. It guarantees that scores are normally distributed
B. It removes the effect of extreme scores
C. It replaces the need for data collection
D. It reveals unusual patterns visually

23 For the ungrouped scores , which graph best displays the frequency of each exact score?

graphical representation of grouped and ungrouped data Medium
A. A frequency polygon with no plotted points
B. A pie chart with continuous boundaries
C. A bar graph with separate score values
D. A histogram with unequal intervals

24 A grouped distribution uses class intervals –, –, and –. Which class boundaries make the intervals continuous?

graphical representation of grouped and ungrouped data Medium
A. –, –, –
B. –, –, –
C. –, –, –
D. –, –, –

25 Which graph is most suitable for showing the shape of a continuous grouped distribution of reaction times?

graphical representation of grouped and ungrouped data Medium
A. A simple bar chart
B. A pie chart
C. A histogram
D. A pictograph

26 The frequencies for four categories are , , , and . What is the cumulative frequency through the third category?

frequency distributions Medium
A.
B.
C.
D.

27 A frequency distribution has class frequencies , , , and . What percentage of observations lies in the third class?

frequency distributions Medium
A.
B.
C.
D.

28 A distribution has class intervals –, –, and – with frequencies , , and . What is the frequency density of the second class?

frequency distributions Medium
A.
B.
C.
D.

29 A researcher records the number of correct responses made by participants: . What is the modal score?

frequency distributions Medium
A.
B.
C.
D.

30 In a frequency distribution, the cumulative frequencies are , , , and . How many observations are in the third class?

frequency distributions Medium
A.
B.
C.
D.

31 The of a test-score distribution is best interpreted as the score below which approximately what percentage of observations fall?

docile Medium
A.
B.
C.
D.

32 For the ordered scores , using the position formula , where is located?

docile Medium
A. At the th position
B. At the th position
C. At the th position
D. At the th position

33 A student's score is at in a distribution. Which statement is most accurate?

docile Medium
A. About scored lower
B. About scored higher
C. About scored lower
D. About scored lower

34 For the ordered scores , using the median-of-halves method, what is ?

quartile Medium
A.
B.
C.
D.

35 If and , what is the interquartile range?

quartile Medium
A.
B.
C.
D.

36 A distribution has , median , and . Which conclusion is supported by these values?

quartile Medium
A. Both halves have equal spread
B. The total range is
C. The upper half has greater spread
D. The lower half has greater spread

37 In a class of students, a score equal to indicates that approximately how many students scored at or below that value?

quartile Medium
A. 35 students
B. 30 students
C. 10 students
D. 20 students

38 A score is at the in a psychological assessment. What does this mean?

percentile Medium
A. The score has a frequency of 65
B. The score is 65 points above average
C. The score exceeds about 65\% of scores
D. The score is 65\% of the maximum

39 For the ordered scores , using the position formula , what is the position of ?

percentile Medium
A. At the th position
B. At the th position
C. At the th position
D. At the th position

40 A researcher wants to identify participants whose scores fall in the highest of the distribution. Which cutoff should be used?

percentile Medium
A.
B.
C.
D.

41 A researcher compares anxiety scores from two samples. Sample A has a mean of 40 and SD of 4, while Sample B has a mean of 60 and SD of 12. Which graphical strategy best prevents a misleading visual comparison of variability?

importance of graphical representation of data Hard
A. Use a pie chart for both samples
B. Use separate axes optimized for each sample
C. Use standardized scores on a common axis
D. Use identical axes and plot raw scores

42 A report uses a truncated bar-chart axis beginning at 95 to display mean scores of 96, 98, and 100. What is the principal inferential danger?

importance of graphical representation of data Hard
A. The graph necessarily conceals the sample size
B. The means become mathematically impossible to compare
C. The bars may exaggerate small absolute differences
D. The chart cannot display categorical variables

43 A distribution has a strong positive skew and one extreme score. Which pair of summaries is most appropriate for a graph intended to communicate the typical participant and dispersion robustly?

importance of graphical representation of data Hard
A. Median and interquartile range
B. Mode and variance
C. Mean and standard deviation
D. Minimum and maximum only

44 Reaction times are recorded as 241, 242, 243, and 244 ms, with no repeated values. Which display is most suitable for preserving the exact observations while revealing concentration?

graphical representation of grouped and ungrouped data Hard
A. A bar chart of nominal categories
B. A histogram with four equal-width bins
C. A pie chart with four sectors
D. A stem-and-leaf plot

45 Two histograms represent the same continuous scores, but one uses class widths of 5 and the other uses widths of 10. Which comparison is valid?

graphical representation of grouped and ungrouped data Hard
A. Compare frequency densities across classes
B. Compare the number of plotted rectangles
C. Compare only the tallest class
D. Compare raw bar heights directly

46 A grouped frequency table has classes , , and . For a continuous histogram, which class boundaries are correct if measurements were rounded to the nearest whole unit?

graphical representation of grouped and ungrouped data Hard
A. , , and
B. , , and
C. , , and
D. , , and

47 A frequency polygon is constructed from classes , , and . At which values should the class-frequency points be plotted?

graphical representation of grouped and ungrouped data Hard
A. At 5, 15, and 25
B. At 0, 10, and 20
C. At 9, 19, and 29
D. At 4.5, 14.5, and 24.5

48 A frequency distribution has class frequencies and . What is the cumulative frequency immediately after the fourth class?

frequency distributions Hard
A.
B.
C.
D.

49 A sample of participants is summarized by frequencies and . What percentage lies in the third or fourth class combined?

frequency distributions Hard
A.
B.
C.
D.

50 A grouped distribution has classes , , and with frequencies , , and . Using class midpoints, what is the estimated mean?

frequency distributions Hard
A.
B.
C.
D.

51 A grouped distribution has unequal intervals , , and , with frequencies , , and . Which histogram heights are proportional to frequency density?

frequency distributions Hard
A.
B.
C.
D.

52 For a distribution with , the 7th decile is located at which position under the convention at ?

docile Hard
A. The 70th observation
B. The 7th observation
C. The 170th observation
D. The 140th observation

53 The ordered scores are . Using the position formula , what is the 6th decile?

docile Hard
A.
B.
C.
D.

54 A grouped distribution has class intervals , , , and , with frequencies and . Estimate the 6th decile using continuous boundaries.

docile Hard
A.
B.
C.
D.

55 For the ordered data , using the median-of-halves method, what is the interquartile range?

quartile Hard
A.
B.
C.
D.

56 A distribution has , median , and . Which conclusion is best supported by these quartiles?

quartile Hard
A. The distribution must be symmetric
B. The upper half has greater spread
C. The lower half has greater spread
D. Both halves have identical spread

57 A boxplot has minimum , , median , , and maximum . Which feature is most clearly indicated?

quartile Hard
A. A negative skew with a longer lower tail
B. Perfect symmetry around the median
C. No possible outliers under any rule
D. A positive skew with a longer upper tail

58 A participant's score is at the 85th percentile. Which interpretation is correct?

percentile Hard
A. The participant scored higher than about 85% of cases
B. The participant answered 85% of items correctly
C. The participant's score is 85% of the maximum
D. The participant is 85 points above the mean

59 In a class of students, a score has percentile-rank position . Between which ordered observations does the 75th percentile fall?

percentile Hard
A. Between the 29th and 30th observations
B. Exactly at the 30th observation
C. Between the 30th and 31st observations
D. Between the 28th and 29th observations

60 A grouped distribution has classes , , , and , with frequencies and . Estimate the 75th percentile using continuous boundaries.

percentile Hard
A.
B.
C.
D.
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