Question

the mean of the following frequency distribution is 24 find the value of p class interval 0 to 10 10 to 20 20 to 30 30 to 40 40 to 50 frequency 15 2035 p and 10

Answer 1

The value of p is 20.

Explanation:

Given : The mean of the data is 24.

To find : The value of p?

Solution :

The data is arranged as,

Class Intervals         Frequency (f)        Class Marks (x)      $f\times x=fx$

   0-10                            15                         5                           75

   10-20                         20                        15                          300

   20-30                        35                        25                         875

   30-40                         p                         35                          35p

   40-50                        10                        45                          450

  Total                      $\sum f=p + 80$                                   $\sum fx=35p + 1700$

The mean of the data is given by,

$M=\frac{\sum fx}{\sum f}$

$24=\frac{35p+1700}{p+80}$

$24p+1920=35p+1700$

$35p-24p=1920-1700$

$11p=220$

$p=\frac{220}{11}$

$p=20$

Therefore, the value of p is 20.

#Learn more

If the mean of the distribution is 27, find the value of p. class 0-10, 10-20,20-30,30-40,40-50 frequency is respectively 8,p,12,13,10

https://brainly.in/question/4030389

Answer 2

Answer:

The value of p is 20.

Explanation:

Given : The mean of the data is 24.

To find : The value of p?

Solution :

The data is arranged as,

Class Intervals Frequency (f) Class Marks (x) f\times x=fxf×x=fx

0-10 15 5 75

10-20 20 15 300

20-30 35 25 875

30-40 p 35 35p

40-50 10 45 450

Total \sum f=p + 80∑f=p+80 \sum fx=35p + 1700∑fx=35p+1700

The mean of the data is given by,

M=\frac{\sum fx}{\sum f}M=

∑f

∑fx

24=\frac{35p+1700}{p+80}24=

p+80

35p+1700

24p+1920=35p+170024p+1920=35p+1700

35p-24p=1920-170035p−24p=1920−1700

11p=22011p=220

p=\frac{220}{11}p=

11

220

p=20p=20

Therefore, the value of p is 20.

#Learn more

If the mean of the distribution is 27, find the value of p. class 0-10, 10-20,20-30,30-40,40-50 frequency is respectively 8,p,12,13,10

https://brainly.in/question/4030389