# Class 9 Maths Chapter 14 Statistics

## Trigonometry # Class 9 Maths Chapter 14 Statistics

Class 9 Maths Chapter 14 Statistics MCQs are provided here with solutions. All the questions are prepared as per the latest exam pattern. The multiple-choice questions provided here, online, are based on the CBSE syllabus (2021-2022) and the latest NCERT curriculum. Students are suggested to practise these chapter-wise questions and prepare for the final exams to score well. Also, check Important Questions for Class 9 Maths.

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## MCQ Questions on Class 9 Maths Chapter 14 Statistics

Students of 9th Standard can solve the MCQs on Statistics and select the correct option.

1) The ratio of the sum of observations and the total number of observations is called:

a. Mean

b. Median

c. Mode

d. Central tendency

2) The mean of x+2, x+3, x+4 and x-2 is:

a. (x+7)/4

b. (2x+7)/4

c. (3x+7)/4

d. (4x+7)/4

Explanation: Mean = (x+2+x+3+x+4+x-2)/4 = (4x+7)/4

3) The median of the data: 4, 6, 8, 9, 11 is

a. 6

b. 8

c. 9

d. 11

4) The median of the data: 155, 160, 145, 149, 150, 147, 152, 144, 148 is

a. 149

b. 150

c. 147

d. 144

Explanation: First arrange the data in ascending order.

144 145 147 148 149 150 152 155 160

Since, the number of observations here is odd, therefore,

Median = (n+1)/2 th = (9+1)/2 = 10/2 = 5th number = 149

5) 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

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

6) 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

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

7) The value which appears very frequently in a data is called:

a. Mean

b. Median

c. Mode

d. Central tendency

8) The collection of information, collected for a purpose is called:

a. Mean

b. Median

c. Mode

d. Data

9) 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

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

10) Which of the following is not a measure of central tendency?

a. Standard deviation

b. Mean

c. Median

d. Mode

11) 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

Explanation: Range = Maximum value – Minimum value

Range = 32-6 = 26.

12) What is the class mark of the class interval 90-120?

a. 90

b. 105

c. 115

d. 120

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

Class mark = (120+90)/2

Class mark = 105

13) In the class intervals 10-20, 20-30, 20 is included in which interval?

a. 10-20

b. 20-30

c. Both the intervals

d. None of the intervals

Explanation: In the class intervals 10-20, 20-30, 20 is included in the interval 20-30, because the number is always included in the lower limit of the class interval.

14) 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

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.

15) The arithmetic mean of the first 5 natural numbers is

a. 3

b. 4

c. 5

d. 6

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

Arithmetic mean = 15/5 = 3

16) 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

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

17) 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

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.

18) 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

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.

19) The difference between the maximum and minimum values of the given observation is called

a. Class

b. Class interval

c. Classmark

d. Range

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

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

a. 60

b. 76

c. 120

d. 82

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.

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