## Important questions of Maths class 10 chapter 14

## Important questions of Maths class 10 chapter 14

Class X

MATHS

CHAPTER- 14 STATISTICS

MULTIPLE CHOICE QUESTIONS

1. If the mean of x, x+3, x+6, x+9 and x+12 is 10, then x is____

a) 1 b) 2 c) 6 d) 4 2.

2. For a frequency distribution, Mean, Median and Mode are connected by the relation__

a) Mode = 3 Mean â€“ 2Median c) Mode = 3Median â€“ 3 Mean

b) Mode = 3Median â€“ 2 Mean d) Mode = 3 Median + 2Mean

3. If the median of data : 24,25,26,x+2,x+3,30,31,34 is 27.5, then x is___

a) 27 b) 25 c) 28 d) 30

4. The arithmetic mean of 1, 2, 3,â€¦â€¦â€¦â€¦â€¦â€¦n , is………

5. If the median of the data: 6, 7, x-2, x, 17, 20 in ascending order is 16, then x is ___

a) 15 b) 16 c) 17 d) 18

6. If the mean of 6, 7, x, 8, y, 14 is 9, then___

a) x+y = 21 b) x+y = 19 c) x-y = 19 d) x-y = 21

7. For the following distribution,

Class 0-5 5-10 10-15 15-20 20-25

Frequency 10 15 12 20 9

the sum of lower limits of the median class and modal class is ___

a) 15 b) 25 c) 30 d) 35

SUBJECTIVE TYPE QUESTIONS

1. Find the missing frequencies in the following frequency distribution, the mean is 50

Class: 0-20 20-40 40-60 60-80 80-100

f : 17 f1 32 f2 19 Total 120

2. If the Median of the distribution given below is 28.5, then find the value of x and y.

Class Interval 0-10 10-20 20-30 30-40 40-50 50-60

No. of students : 5 x 20 15 y 5

Total 60

3. Find the Mean, Median and Mode of the given data â€“

Class : 0-20 20-40 40-60 60-80 80-100 100-120 120-140

Frequency : 6 8 10 12 6 5 3

4. Find median of the data, using an empirical relation when it is given that Mode = 12.4 and Median = 10.5

5. Find the value of p from the following data if its mode is 65

Class: 0-20 20-40 40-60 60-80 80-100 100-120

Frequency: 6 8 p 12 6 5

where frequency 6, 8, p and 12 are in ascending order.

6. If the mean of the following data is 18 , find the missing frequency p

: 10 15 20 25

f: 5 10 p 8

7. The mean and median of 100 observations are 50 and 52 respectively. The value of the largest observation is 100. It was later found that it is 110. Find the true mean and median.

8.Find mode, using an empirical relation, when it is given that mean and median are 10.5 and 9.6 respectively.

9. Find the mean of the following data:

Class: 0.5-5.5 5.5-10.5 10.5-15.5 15.5-20.5 20.5-25.5

Frequency: 13 16 22 18 11

10. The mode of a distribution is 55 and the modal class is 45-60 and the frequency preceding the modal class is 5 and frequency after the modal class is 10. Find the frequency of modal class.

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