Find the value of p for the following distribution whose mean is 14.
x: | 5 | 10 | 12 | p | 16 | 18 | 20 |
f : | 10 | 20 | 15 | 20 | 12 | 8 | 4 |
Given: Mean of the data is 14
Concept Used:
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x | f | fx |
5 | 10 | 50 |
10 | 20 | 200 |
12 | 15 | 180 |
P | 20 | 20p |
16 | 12 | 192 |
18 | 8 | 144 |
20 | 4 | 80 |
N = 89 | ∑fx = 20p + 846 |
Given, mean = 14
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20p = 1246 - 846
20p = 400
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p = 20
Hence, the value of p is 20.
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