Class 9 Maths Chapter 14 Statistics MCQs are provided here with solutions. The multiple-choice questions provided here, online, are based on the CBSE syllabus and the latest NCERT curriculum. Students are suggested to practice these chapter-wise questions and prepare for final exams to score well. Also, check Important Questions for Class 9 Maths.

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**Class 9 Maths Chapter 14 Statistics MCQs – Practice Questions**

## MCQs 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

Answer:** a**

**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

Answer:** d**

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

Answer:** b**

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

a. 149

b. 150

c. 147

d. 144

Answer:** a**

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

Answer:** c**

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

Answer:** b**

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

Answer:** c**

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

a. Mean

b. Median

c. Mode

d. Data

Answer:** d**

**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

Answer:** d**

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

Answer:** a**

**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

Answer: d

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

Answer: b

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

Answer: b

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

Answer: d

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

Answer: a

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

Answer: d

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

Answer: b

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

Answer: b

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

Answer: d

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

Answer: c

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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