Module- 5

1. If the mode of the following data is 7, then the value of k in the data set 3, 8, 6, 7, 1, 6, 10, 6, 7, 2k+5, 9, 7, and 13 is:

A. 1
B. 3
C. 4
D. 7

2. The range of the following items is: -2, -3, -8, -7, -1, -20, -17.

A. -19
B. 19
C. -21
D. 21

3. What does the standard deviation measure?

A. Spread of data
B. Central tendency
C. Skewness of data
D. Variability of data

4. If the arithmetic average of the given data is 165, find the missing term.
X: 100, 150, 200, x, 300, 500
f: 30, 20, 15, 10, 4, 1

A. 225
B. 250
C. 275
D. 278.5

5. In a positively skewed distribution, the relationship between the mean, median, and mode is:

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

6. The mean of five numbers is 12. If four of the numbers are 10, 15, 18, and 14, then the fifth number is:

A. 20
B. 15
C. 8
D. 3

7. What is the median of the dataset: 6, 9, 12, 15, 18, 21, 24, 27, 30, 33?

A. 17
B. 18.5
C. 19.5
D. 20

8. For a distribution with mean, median, mode, and standard deviation 25, 24, 26, and 5, respectively, Karl Pearson’s coefficient of skewness equals to:

A. -0.2
B. 0.2
C. 1
D. -1

9. Which of the following is an example of qualitative data?

A. Age
B. Temperature
C. Height
D. Gender

10. In a symmetrical distribution, the mean, median, and mode are:

A. Equal to each other
B. Different from each other
C. Not applicable
D. Cannot be determined

11. If a dataset has an even number of values, the median is calculated as:

A. The average of the two middle values
B. The middle value
C. The sum of all values divided by the total count
D. The most occurred value

12. The mean of a dataset is 50. If all the values in the dataset are multiplied by 2, what will be the new mean?

A. 25
B. 50
C. 75
D. 100

13. What is the mode of the dataset: 2, 4, 6, 6, 8, 10, 10, 10, 12?

A. 3
B. 6
C. 8
D. 10

14. Which measure of dispersion is calculated as the square root of the variance?

A. Range
B. Quartile Deviation
C. Standard Deviation
D. Interquartile Range

15. In a perfectly symmetrical distribution, the skewness is:

A. Positive
B. Negative
C. Zero
D. Cannot be determined

16. The measure of central tendency that divides the data into two equal halves is:

A. Mean
B. Median
C. Mode
D. Range

17. If mean and mode of some data are 4 and 1, respectively, its median will be:

A. 1.5
B. 3
C. 3.5
D. 5