Classes: | 25-29 | 30-34 | 35-39 | 40-44 | 45-49 | 50-54 | 55-59 |
Frequency: | 14 | 22 | 16 | 6 | 5 | 3 | 4 |
Let the assumed mean (A) = 42
Class interval | Mid value (xi) | di = xi – 42 | Ui = | Frequency (fi) | fiui |
25-29 | 27 | -15 | -3 | 14 | -42 |
30-34 | 32 | -10 | -2 | 22 | -44 |
35-39 | 37 | -5 | -1 | 16 | -16 |
40-44 | 42 | 0 | 0 | 6 | 0 |
45-49 | 47 | 5 | 1 | 5 | 5 |
50-54 | 52 | 10 | 2 | 3 | 6 |
55-59 | 57 | 15 | 3 | 4 | 12 |
N = 10 | ∑fiui = -79 |
We have, A = 42
h = 5
Mean = A + h *
= 42 + 5 *
= 42 -
=
= 36.357