Find the missing frequency p for the following frequency distribution whose mean is 28.25.
x | f |
---|---|
15 | 8 |
20 | 7 |
25 | p |
30 | 14 |
35 | 15 |
40 | 6 |
x | f | xifi |
---|---|---|
15 | 8 | 120 |
20 | 7 | 140 |
25 | p | 25p |
30 | 14 | 420 |
35 | 15 | 525 |
40 | 6 | 240 |
Σ fi = 50 + p | Σ fi xi = 1445 + 25p |
It is given that
Mean = 28.25
We know that
Mean = Σ fi xi/ Σ fi
So we get
(1445 + 25p)/ (50 + p) = 28.25
On further calculation
1445 + 25p = 1412.50 + 28.25p
So we get
-28.25p + 25p = -1445 + 1412.50
It can be written as
-3.25p = -32.5
By division
p = 10
Therefore, the value of p is 10.
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