Q11 of 174 Page 608

The mean of the following frequency distribution is 8. Find the value of p.

x

3

5

7

9

11

13

y

6

8

15

p

8

4

First draw the table as shown below;

Given mean = 8

8 =

⇒ 8(41 + p) = 303 + 9p

⇒ 328 + 8p = 30 + 9p

⇒ 9p – 8p = 328 – 303

⇒ p = 25

So, the value of p = 25

The marks obtained by 12 students of a class in the test are:

36, 27, 5, 19, 34, 23, 37, 23, 16, 23, 20, 38

The class marks of a frequency distribution are

26, 31, 36, 41, 46, 51

Find the true class limits.

If 10, 13, 15, 18, x + 1, x + 3, 30, 32, 35, 41 are ten observations in an ascending order with median 24, Find the value of x.

Calculate the mode of the following using empirical formula:

17, 10, 12, 11, 10, 15, 14, 11, 12, 13

The mean of the following frequency distribution is 8. Find the value of p.x35791113y6815p84