Question

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

x	2	4	6	p+6	10
f	3	2	3	3	2

• A. 56
• B. 34/3
• C. 43
• D. 59/2

Answer 1

Answer:

B. 34/3

Solution:

Formula Used:

Mean =$\frac{\sigma fx}{\sigma f}$

Calculation:

x	f	fx
2	3	6
4	2	8
6	3	18
p + 6	3	3p + 18
10	2	20
Total	13	70 + 3p

Mean =$\frac{\sigma fx}{\sigma f}$

8 = $\frac{70+3p}{13}$

By cross multiplication:

104 = 70 + 3p

34 = 3p

p = $\frac{34}{3}$

The value of p is 34/3