NCERT MCQs For Class-9 Chapter-14 Statistics | EduGrown

NCERT MCQs For Class-9 Chapter-14 Statistics

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)The class mark of the class 90-130 is:
(a) 90
(b) 105
(c) 115
(d) 110

Answers: (d)

12.The range of the data:
25, 81, 20, 22, 16, 6, 17,15,12, 30, 32, 10, 91, 8, 11, 20 is
(a) 10
(b) 75
(c) 85
(d) 26

Answers: (c)

13.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

Answers: (b)

14.A grouped frequency table with class intervals of equal sizes using 250-270 (270 not included in this interval) as one of the class interval is constructed for the following data:
268, 220, 368, 258, 242, 310, 272, 342, 310, 290, 300, 320, 319, 304,402, 318, 406, 292, 354, 278, 210, 240, 330, 316, 406, 215, 258, 236.
The frequency of the class 370-390 is:
(a) 0
(b) 1
(c) 3
(d) 5

Answers: (a)

15.If x1¯, x2¯, x3¯, …….., xn¯ are the means of n groups with n₁, n₂, ……. n_n number of observations respectively, then the mean x of all the groups taken together is given by:

Answer: (c)

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