Find the missing value of p for the following distribution whose mean is 12.58
x: 5 8 10 12 p 20 25y: 2 5 8 22 7 4 2
Answers
Given : Mean is 12.58.
Concept :
ARITHMETIC MEAN OR MEAN OR AVERAGE :
The arithmetic mean of a set of observations is obtained by dividing the sum of the values of all observations by the total number of observations .
Mean = Sum of all the observations / Total number of observations .
MEAN = Σfixi / Σfi
[‘Σ’ Sigma means ‘summation’ ]
Solution :
FREQUENCY DISTRIBUTION TABLE IS IN THE ATTACHMENT
From the table : Σfixi = 524 + 7p , Σfi = 50
MEAN = Σfixi / Σfi
Given : Mean = 12.58
12.58 = (524 + 7p) / 50
12.58 × 50 = (524 + 7p)
629 = (524 + 7p)
7p = 629 - 524
7p = 105
p = 105/7 = 15
p = 15
Hence, the value of ‘p’ is 15.
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