Unit 5 - Practice Quiz

QTT201 60 Questions
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1 Which of the following best defines the range of a dataset?

range Easy
A. The most frequently occurring value in the dataset
B. The sum of all values divided by the number of values
C. The middle value when the data is arranged in order
D. The difference between the highest and lowest values

2 What is the range for the following set of numbers: {10, 15, 12, 25, 8}?

range Easy
A. 25
B. 33
C. 17
D. 8

3 A major limitation of the range is that it:

range Easy
A. Is very difficult to calculate
B. Is highly affected by extreme values (outliers)
C. Cannot be used for quantitative data
D. Is always a negative number

4 Quartile Deviation is also known as the:

quartile deviation Easy
A. Mean Range
B. Absolute Range
C. Semi-Interquartile Range
D. Standard Range

5 The formula for Quartile Deviation (Q.D.) is:

quartile deviation Easy
A.
B.
C.
D.

6 Quartile Deviation measures the dispersion of the:

quartile deviation Easy
A. Highest 10% of the data
B. Entire dataset
C. Middle 50% of the data
D. Lowest 25% of the data

7 Mean Deviation is calculated by taking the average of the absolute deviations from a measure of:

mean deviation Easy
A. Skewness
B. Correlation
C. Dispersion
D. Central tendency (mean, median, or mode)

8 In the calculation of Mean Deviation, why are absolute values of deviations used?

mean deviation Easy
A. To handle only negative numbers
B. To prevent the sum of deviations from the mean from being zero
C. To simplify the calculation
D. To make the final result positive

9 Which formula represents the Mean Deviation from the mean ()?

mean deviation Easy
A.
B.
C. Highest Value - Lowest Value
D.

10 Standard deviation is the positive square root of which measure?

standard deviation Easy
A. Variance
B. Mode
C. Mean Deviation
D. Range

11 If all the values in a dataset are the same, such as {8, 8, 8, 8}, what will be the standard deviation?

standard deviation Easy
A. 1
B. -1
C. 8
D. 0

12 What does a small standard deviation indicate?

standard deviation Easy
A. The data points are close to the mean
B. The data points are spread far from the mean
C. The dataset has a large number of values
D. The mean is a small number

13 The symbol '' is commonly used to denote:

standard deviation Easy
A. Sample Variance
B. Sample Mean
C. Population Mean
D. Population Standard Deviation

14 The Coefficient of Variation (CV) is a measure of:

coefficient of variation Easy
A. Asymmetry
B. Central tendency
C. Relative dispersion
D. Absolute dispersion

15 The Coefficient of Variation is calculated using which formula?

coefficient of variation Easy
A.
B.
C.
D.

16 A lower value for the Coefficient of Variation for a stock implies that the stock is:

coefficient of variation Easy
A. Less volatile (more consistent)
B. More volatile (less consistent)
C. Has a lower price
D. Has a higher price

17 When is it most appropriate to use the Coefficient of Variation?

coefficient of variation Easy
A. When calculating the average of a single dataset
B. When finding the mode of a dataset
C. When the data is perfectly symmetrical
D. When comparing the variability of two datasets with different units

18 What does the measure of skewness describe about a distribution?

skewness Easy
A. Its overall spread
B. Its height or peakedness
C. Its average value
D. Its degree of asymmetry

19 For a perfectly symmetrical distribution, such as a normal distribution, the value of skewness is:

skewness Easy
A. 0
B. 1
C. Greater than 1
D. -1

20 In a positively skewed (right-skewed) distribution, which of the following relationships is generally true?

skewness Easy
A. Mean = Median = Mode
B. Mean > Median > Mode
C. Mode > Mean > Median
D. Mean < Median < Mode

21 A factory records the number of defective items produced per day for a week: {12, 15, 8, 25, 10, 3, 18}. If on the next day, an outlier value of 50 defective items is recorded, how does the range of the dataset change?

range Medium
A. It remains unchanged
B. It decreases by 25
C. It doubles
D. It increases by 25

22 For the dataset {30, 10, 45, 50, 25, 40, 20}, what is the Quartile Deviation?

quartile deviation Medium
A. 12.5
B. 20
C. 25
D. 10

23 The variance of a set of 10 observations is 16. If each observation is multiplied by 2, what is the new standard deviation?

standard deviation Medium
A. 8
B. 32
C. 4
D. 16

24 A stock has a mean price of $150 with a standard deviation of $12. Another stock has a mean price of $30 with a standard deviation of $4.5. Which statement is correct regarding their relative volatility?

coefficient of variation Medium
A. Both stocks have the same volatility.
B. The first stock is more volatile.
C. The second stock is more volatile.
D. Volatility cannot be compared with the given data.

25 In a moderately skewed distribution, the mean is 45 and the mode is 48. What is the approximate value of the median?

skewness Medium
A. 46.5
B. 45.5
C. 47
D. 46

26 Calculate the Mean Deviation about the mean for the following data: {4, 6, 8, 10, 12}.

mean deviation Medium
A. 2.4
B. 0
C. 8
D. 3

27 For a dataset with n=5, , and , what is the population standard deviation ()?

standard deviation Medium
A.
B.
C. 8
D. 10

28 If Karl Pearson's coefficient of skewness for a distribution is -0.75, its mean is 60, and its standard deviation is 8, what is the mode of the distribution?

skewness Medium
A. 54
B. 72
C. 66
D. 60

29 If the coefficient of variation of a distribution is 40% and its mean is 70, what is its variance?

coefficient of variation Medium
A. 784
B. 28
C. 56
D. 392

30 In a symmetric distribution, the first quartile () is 20 and the third quartile () is 60. What is the value of the median ()?

quartile deviation Medium
A. 40
B. 30
C. 50
D. Cannot be determined

31 What is the primary limitation of using the range as a measure of dispersion?

range Medium
A. It is based on all observations, making it complex.
B. It is an absolute measure and cannot be used for comparison.
C. It is difficult to calculate.
D. It is based only on the two most extreme values and is highly affected by outliers.

32 The sum of absolute deviations of a set of values is minimized when the deviations are taken from which measure of central tendency?

mean deviation Medium
A. Mode
B. Mean
C. Median
D. Geometric Mean

33 If the standard deviation of the numbers {2, 3, 5, 6} is , what is the standard deviation of the numbers {7, 8, 10, 11}?

standard deviation Medium
A.
B.
C.
D.

34 For a particular distribution, it is observed that the Mean = 30, Median = 28, and Mode = 24. This distribution is considered to be:

skewness Medium
A. Bimodal
B. Symmetrical
C. Positively skewed
D. Negatively skewed

35 The primary purpose of calculating the Coefficient of Variation is to:

coefficient of variation Medium
A. Determine the spread in absolute terms.
B. Compare the variability of two or more series with different units or different average values.
C. Identify the skewness of the distribution.
D. Find the average of the dataset.

36 If the Interquartile Range (IQR) of a dataset is 30 and the third quartile () is 75, what is the value of the first quartile ()?

quartile deviation Medium
A. 105
B. 45
C. 22.5
D. 52.5

37 The sum of the squared deviations of items from their arithmetic mean for a series of 5 items is 125. What is the standard deviation?

standard deviation Medium
A.
B. 25
C. 5
D. 6.25

38 Calculate the Mean Deviation about the median for the dataset: {3, 9, 5, 3, 12, 10, 18, 4}.

mean deviation Medium
A. 3.75
B. 8.5
C. 7
D. 4.25

39 Which of the following statements is true for a negatively skewed distribution?

skewness Medium
A. The left tail is longer, and Mean < Median < Mode.
B. The right tail is longer, and Mean > Median > Mode.
C. The quartiles are equidistant from the mean.
D. The distribution is perfectly symmetric, and Mean = Median = Mode.

40 If you are told that the standard deviation of a dataset is 20, can you conclude whether the dispersion is large or small?

coefficient of variation Medium
A. Yes, 20 is a small dispersion.
B. Yes, 20 is a large dispersion.
C. No, because standard deviation is an absolute measure and its magnitude depends on the mean of the data.
D. No, because we need the range to make a conclusion.

41 For a dataset of 10 observations, the sum of squared deviations from the number 8 is 250, and the arithmetic mean is 7. What is the coefficient of variation?

standard deviation Hard
A. 70.0%
B. 60.6%
C. 49.0%
D. 8.16%

42 In a moderately skewed distribution, Karl Pearson's coefficient of skewness is calculated as -0.9, and the standard deviation is 10. If the mean of the distribution is 27, what is the value of the mode based on the empirical relationship Mean - Mode ≈ 3(Mean - Median)?

skewness Hard
A. 24
B. 30
C. Cannot be determined
D. 36

43 The mean and standard deviation of a sample of 100 items were found to be 40 and 5, respectively. It was later discovered that two items were misread as 30 and 70 instead of 3 and 27. The correct standard deviation is:

standard deviation Hard
A. 5.05
B. 5.12
C. 4.98
D. 4.89

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