Question 11

Following is the distribution of marks obtained by 60 students in science test

Solution

Mean = 26.5

Question 12

If mode of data is 23/7 , then find x and y

Solution

X= 7 and y= 2

Question 13

Bowling strike rate for a bowler is defined as the average number of balls bowled per wicket
taken. A bowler has taken 148 wickets so far with a strike rate of 27. In his next match, he
bowls 48 balls and takes 2 wickets.
What is his new strike rate? Show your work.

Solution

Find the total number of balls bowled by the baller so far as 148×27=3996
Finds the total number of balls bowled after the last match as 3996+48=4044.
and the total number of wickets taken after the latest match as 148+2=150.
Find the new strike rate of the bowler as (total number of balls bowled)/(total number
of wickets taken) = 4044/150 = 26.96

Question 14

The frequency distribution of daily rainfall in a town during a certain period is shown below

Unfortunately, due to manual errors, the information on the 20-40 mm range got deleted from
the data.
If the mean daily rainfall for the period was 35mm, find the number of days when the rainfall
ranged between 20-40 mm. Show your work

Solution

the value of x as 23.

Question 15

If the mean of the following distribution is 6, find the value of‟p‟.

Solution

. P = 7

Question 16

Find the median of the following data:

Solution

= 116.67

Question 17

If mode of the following frequency distribution is 55, then find the value of x

Solution

Mode=55 , So Modal class= 45-60
Mode = l +[(f1-f0)/(2f1 –f0 –f2 )] x h
Or,55 =45 + 15x(15-x)/(2×15-x-10 )
Or, 55 = 45 + (225- 15x)/ 30-x-10
Or, 55(20-x) = 45(20-x) +225-15x
Or,1100 – 55x = 900 -45x +225 -15x
Or, 5x=1125-1100
x=5

SELF ASSESSMENT

Q1. The mean of the following frequency distribution is 25. Find the value of f

Q2. The mean of the following data is 18.75. Find the value of P

Q3. Following table shows sale of shoes in a store during one month