descriptive statistics, Mcqs

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1. What is the mean of the following data set: 2, 4, 6, 8, 10?
A. 4
B. 5
C. 6
D. 7
Answer: C

2. What is the median of the following data set: 1, 3, 5, 7, 9?
A. 3
B. 5
C. 7
D. 9
Answer: B

3. Which measure of central tendency is most affected by extreme values?
A. Mean
B. Median
C. Mode
D. Range
Answer: A

4. What is the mode of the following data set: 1, 2, 2, 3, 4?
A. 1
B. 2
C. 3
D. 4
Answer: B

5. What is the range of the following data set: 5, 7, 12, 15, 20?
A. 7
B. 12
C. 15
D. 20
Answer: C

6. What is the interquartile range (IQR) of the following data set: 2, 4, 6, 8, 10, 12, 14?
A. 2
B. 4
C. 6
D. 8
Answer: D

7. Which measure of dispersion is defined as the average of the squared deviations from the mean?
A. Variance
B. Standard deviation
C. Range
D. Interquartile range
Answer: A

8. What is the standard deviation of the following data set: 2, 2, 2, 2, 2?
A. 0
B. 1
C. 2
D. 3
Answer: A

9. What is the coefficient of variation if the mean is 10 and the standard deviation is 2?
A. 0.2
B. 2
C. 20
D. 200
Answer: C

10. In a box plot, what does the length of the box represent?
A. Mean
B. Median
C. Interquartile range (IQR)
D. Range
Answer: C

11. Which measure of central tendency is most appropriate for categorical data?
A. Mean
B. Median
C. Mode
D. Range
Answer: C

12. What is the geometric mean of the following data set: 2, 4, 8?
A. 4
B. 5
C. 6
D. 8
Answer: A

13. What does a positively skewed distribution indicate about the data?
A. Mean < Median
B. Mean = Median
C. Mean > Median
D. Mean < Mode
Answer: C

14. In a normal distribution, what percentage of data falls within one standard deviation of the mean?
A. 50%
B. 68%
C. 95%
D. 99.7%
Answer: B

15. Which measure of central tendency divides a data set into two equal parts?
A. Mean
B. Median
C. Mode
D. Range
Answer: B

16. What is the harmonic mean of the following data set: 1, 2, 4?
A. 1.5
B. 1.8
C. 2
D. 2.5
Answer: B

17. What does the term “outlier” refer to in a data set?
A. The average value
B. The middle value
C. A value significantly different from other values
D. The most frequent value
Answer: C

18. What is the mean absolute deviation of the following data set: 2, 4, 6, 8, 10?
A. 1.6
B. 2
C. 2.5
D. 3
Answer: C

19. Which measure of central tendency can have more than one value?
A. Mean
B. Median
C. Mode
D. Range
Answer: C

20. What does a negatively skewed distribution indicate about the data?
A. Mean > Median
B. Mean = Median
C. Mean < Median
D. Mean > Mode
Answer: C

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