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Class 9 Maths MCQ Questions of Statistics with Answers?

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Sarthaks gives Class 9 Maths MCQ Questions of Statistics with answers as indicated by the NCERT Solutions educational program which is helpful for students to get ready for their tests. 

MCQ Questions for Class 9 Maths with answers from Statistics chapter. The content creates by specialists for different topics of collection, and representation of data, graphical representation of data using a bar graph, Histogram, and Pie Chart, Measures of central tendency i.e. mean median, and mode and exercise problems. 

Practice MCQ Questions for Class 9 Maths

1. Which of the following is not a measure of central tendency?

(a) Standard deviation
(b) Mean
(c) Median
(d) Mode

2. The mean of the data 2, 3, 4, 5, 0, 1, 3, 3, 4, 3 is

(a) 2
(b) 2.2
(c) 2.4
(d) 2.8

3. The collection of information, collected for a purpose is called:

(a) Mean
(b) Median
(c) Mode
(d) Data

4. The number of times a particular items occur in a class interval called its:

(a) Mean
(b) Frequency
(c) Cumulative frequency
(d) Range

5. Find the maximum value if the range is 38 and the minimum value is 82.

(a) 60
(b) 76
(c) 120
(d) 82

6. The difference between the maximum and minimum values of the given observation is called 

(a) Class
(b) Class interval
(c) Classmark
(d) Range

7. If each data in the observation is increased by 5, then the mean 

(a) Remains the same
(b) Increased by 5
(c) Decreased by 5
(d) None of the above

8. Find the mode of the following data: 15, 14, 19, 20, 14, 15, 16, 14, 15, 18, 14, 19, 15, 17, 15.

(a) 14
(b) 15
(c) 16
(d) 17

9. Find the value of x, if the arithmetic mean of 4, 5, 6, 7, 8 and x is 7.

(a) 4
(b) 6
(c) 8
(d) 12

10. The arithmetic mean of the first 5 natural numbers is

(a) 3
(b) 4
(c) 5
(d) 6

11. In the class intervals 10-20, 20-30, the number 20 is included in:

(a) 10-20
(b) 20-30
(c) both the intervals
(d) none of these intervals

12. One of the sides of a frequency polygon is

(a) either of the coordinate axes
(b) the x-axis
(c) neither of the coordinate axes
(d) the y-axis

13. Find the class width for the grouped frequency distribution of the class intervals 1-20, 21-40, 41-60, ..

(a) 10
(b) 15
(c) 17
(d) 20

14. What is the class mark of the class interval 90-120?

(a) 90
(b) 105
(c) 115
(d) 120

15. Find the range of the following data: 25, 18, 20, 22, 16, 6, 17, 15, 12, 30, 32, 10, 19, 8, 11, 20.

(a) 10
(b) 15
(c) 18
(d) 26

16. The value which appears very frequently in a data is called:

(a) Mean
(b) Median
(c) Mode
(d) Central tendency

17. The mode of the given data: 4, 6, 5, 9, 3, 2, 7, 7, 6, 5, 4, 9, 10, 10, 3, 4, 7, 6, 9, 9 is;

(a) 7
(b) 9
(c) 10
(d) 6

18. Given the class intervals 1-10, 11-20, 21-30, ………….., then 20 is considered in class

(a) 11-30
(b) 11-20
(c) 21-30
(d) 15-25

19. The median of the data: 17, 2, 7, 27, 15, 5, 14, 8, 10, 24, 48, 10, 8, 7, 18, 28 is:

(a) 10
(b) 24
(c) 12
(d) 8

20. A student collects information about the number of school going children in a locality consisting of a hundred households. The data collected by him is

(a) Arrayed data
(b) Primary data
(c) Secondary data
(d) Grouped data

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Answer:

1. Answer: (a) Standard deviation

2. Answer: (d) 2.8

Explanation: Mean = (2+3+4+5+0+1+3+3+4+3)/10 = 28/10 = 2.8

3. Answer: (d) Data

4. Answer: (b) Frequency

5. Answer: (c) 120

Explanation: We know that Range = Maximum value – Minimum value.

Let the unknown value, (i.e) Maximum value be x.

Now, substitute the values, 

38 = x – 82

x = 38+82

x = 120.

Therefore, the maximum value is 120.

6. Answer: (d) Range

Explanation: The difference between the maximum and minimum values of the given observation is called range.

7. Answer: (b) Increased by 5

Explanation: If each data in the observation is increased by 5, then the mean is also increased by 5 because the mean is the average of the given values.

8. Answer: (b) 15

Explanation: The mode of the data 15, 14, 19, 20, 14, 15, 16, 14, 15, 18, 14, 19, 15, 17, 15 is 15, because the number 15 is repeated 5 times.

9. Answer: (d) 12

Explanation: (4+5+6+7+8+x)/6 = 7

4+5+6+7+8+x = 7(6)

4+5+6+7+8+x = 42

30+x = 42

x = 42-30 = 12

10. Answer: (a) 3

Explanation: Arithmetic mean = (1+2+3+4+5)/5 

Arithmetic mean = 15/5 = 3

11. Answer: (b) 20-30

12. Answer: (b) the x-axis

13. Answer: (d) 20

Explanation: Class width is the same as the class size. The class size of the given intervals 1-20, 21-40, 41-60,.. is 20.

14. Answer: (b) 105

Explanation: Class mark = (upper limit + lower limit)/2

Class mark = (120+90)/2

Class mark = 105

15. Answer: (d) 26

Explanation: Range = Maximum value – Minimum value

Range = 32-6 = 26.

16. Answer: (c) Mode

17. Answer: (b) 9

Explanation: First arrange the data in order:

2, 3, 3, 4, 4, 4, 5, 5, 6, 6, 6, 7, 7, 7, 9, 9, 9, 9, 10, 10

Hence, mode = 9

18. Answer: (b) 11-20

19. Answer: (c) 12

Explanation: Arrange the given data in ascending order:

2, 5, 7, 7, 8, 8, 10, 10, 14, 15, 17, 18, 24, 27, 28, 48

Since, the number of observations givere here is even, hence,

Median will be average of two middle terms.

n/2th = 16/2 = 8th term

(n/2 +1)th = (16/2 + 1)th = 9th term

Therefore,

Median = (10+14)/2 = 12

20. Answer: (b) Primary data

Click here to practice: – Statistics MCQ Question for Class 9 Maths

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