Question

if the mean of the following frequency distribution is 8 find the value of p x 3,5,7,9,11,13 f 6,8,15,p,84

Answer 1

p = 25 if the mean of the following frequency distribution is 8  x 3,5,7,9,11,13 f 6,8,15,p,8 ,4

Step-by-step explanation:

x           Frequency            fx

3                       6                 18

5                      8                  40

7                      15                 105

9                      p                  9p

11                      8                 88

13                      4                 52

                    41 + p             303 + 9p

Mean = (303 + 9p)/(41 + p)  = 8

=> 303 + 9p = 328 + 8p

=> p = 25

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Answer 2

The value of p is 105.

• The mean of the frequency distribution is given as 8.
• Given table is -

x  3  5  7   9  11 13

f   6  8 15  p   8  4

• Now the mean for the table is calculated by  

mean  = $\frac{\sum f_i.x_i}{\sum x_i}$

Now , we evaluate  $\sum f_i.x_i$ = 18+40+105+9p+88+52 = 303+9p

Now,  $\sum x_i$ = 6+8+15+p+8+4 = 41+p

Substituting values , we get

8 =  $\frac{\sum f_i.x_i}{\sum x_i}$ = $\frac{223+9p}{41+p}$

328 +8p = 303+9p

p = 25