Class 9 Mathematics (NCERT)

1. The difference between the maximum and minimum values of an observation is called:

• A. Class size
• B. Range
• C. Class mark
• D. Frequency

2. The class mark of the interval 10 - 20 is:

• A. 10
• B. 15
• C. 20
• D. 30

3. In a frequency distribution, the class size of interval 30 - 40 is:

• A. 70
• B. 35
• C. 10
• D. 5

4. Data collected directly by an investigator for a specific purpose is called:

• A. Secondary data
• B. Primary data
• C. Grouped data
• D. Raw data

5. Data collected from an already published source or database is known as:

• A. Primary data
• B. Secondary data
• C. Raw data
• D. Arrayed data

6. The mean of the first 5 natural numbers (1, 2, 3, 4, 5) is:

• A. 2.5
• B. 3
• C. 3.5
• D. 15

7. The mode of the data: 2, 3, 4, 3, 5, 3, 2, 3, 1 is:

• A. 2
• B. 3
• C. 4
• D. 5

8. The median of the dataset: 5, 2, 9, 1, 7 (arranged in ascending order: 1, 2, 5, 7, 9) is:

• A. 2
• B. 5
• C. 7
• D. 4.8

9. The median of the dataset with even number of observations: 6, 14, 10, 8 (sorted: 6, 8, 10, 14) is:

• A. 8
• B. 10
• C. 9
• D. 9.5

10. In a bar graph, the width of all rectangular bars should be:

• A. Proportional to frequencies
• B. Equal
• C. Decreasing progressively
• D. Arbitrary

11. A histogram is drawn for which type of frequency distribution?

• A. Discrete data
• B. Continuous grouped data
• C. Qualitative data
• D. Ungrouped data

12. The class mark formula for a class interval with lower limit L and upper limit U is:

• A. U - L
• B. (U - L) / 2
• C. (U + L) / 2
• D. U + L

13. The mean of 5 numbers is 18. If one number is excluded, their mean becomes 16. The excluded number is:

• A. 24
• B. 26
• C. 22
• D. 20

14. If the mean of x, x+3, x+6, x+9, and x+12 is 10, then the value of x is:

• A. 2
• B. 4
• C. 6
• D. 8

15. The sum of all observations divided by the total number of observations gives:

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

16. The value which divides an arranged dataset into two equal halves is called:

• A. Mean
• B. Median
• C. Mode
• D. Frequency

17. In the class interval 10 - 20, 20 - 30, the number 20 is included in which class interval?

• A. 10 - 20
• B. 20 - 30
• C. Both
• D. Neither

18. The range of the data: 25, 18, 20, 32, 45, 12, 28 is:

• A. 33
• B. 27
• C. 30
• D. 23

19. Frequency polygon can be constructed with or without drawing a:

• A. Bar graph
• B. Histogram
• C. Pie chart
• D. Line plot

20. The cumulative frequency of a class is the sum of frequencies of that class and all classes:

• A. Above it
• B. Below it
• C. Preceding it
• D. Succeeding it

21. The mean of 10 observations is 15. If each observation is multiplied by 2, the new mean will be:

• A. 15
• B. 17
• C. 30
• D. 7.5

22. The mean of 10 observations is 25. If 5 is subtracted from each observation, the new mean is:

• A. 20
• B. 25
• C. 30
• D. 5

23. Total number of prime numbers between 1 and 10 is 4 (2, 3, 5, 7). Their mean is:

• A. 4
• B. 4.25
• C. 5
• D. 3.5

24. What measure of central tendency is best suited to find the most popular shoe size sold in a store?

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

25. If the observations are 11, 12, 14, (x - 2), (x + 4), 20, 22, 25 arranged in ascending order, and median is 18, then x =

• A. 17
• B. 18
• C. 19
• D. 16

26. In a histogram, the area of each rectangle is proportional to:

• A. Class mark
• B. Cumulative frequency
• C. Frequency of the corresponding class
• D. Class size

27. Find the mode of the observations: 14, 25, 14, 28, 18, 17, 18, 14, 23, 22, 14, 18.

• A. 18
• B. 14
• C. 25
• D. 22

28. The algebraic sum of deviations of a set of values from their mean is always:

• A. 1
• B. 0
• C. Greater than 0
• D. Less than 0

29. What is the class mark of the class interval 35.5 - 40.5?

• A. 37
• B. 38
• C. 39
• D. 37.5

30. The mode of a dataset can be determined graphically using a:

• A. Bar chart
• B. Histogram
• C. Frequency polygon
• D. Line graph