Find the value of p for the following distribution whose mean is 16.6.
x: | 8 | 12 | 15 | p | 20 | 25 | 30 |
f : | 12 | 16 | 20 | 24 | 16 | 8 | 4 |
x | f | fx |
8 | 12 | 96 |
12 | 16 | 192 |
15 | 20 | 300 |
p | 24 | 24p |
20 | 16 | 320 |
25 | 8 | 200 |
30 | 4 | 120 |
N = 100 | ∑fx = 24p + 1225 |
Given, mean = 16.6
= 16.6
= 16.6
24p = 432
p = = 18