Find the mean of the following data is 20.6. Find the value of p.
Answers
Given : Mean = 20.6
FREQUENCY DISTRIBUTION TABLE OF THE GIVEN DATA IS IN THE ATTACHMENT BELOW.
From the table : Σfixi = 530 + 25p , Σfi = 50
MEAN = Σfixi / Σfi
20.6 = 530 + 25p /50
20.6 × 50 = 530 + 25p
1030 = 530 + 25p
25 p = 1030 - 530
25p = 500
p = 500/25 = 20
p = 20
Hence, the value of ‘p’ is 20 .
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Refers to the attachments
Given : Mean = 20.6
From the table : Σfixi = 530 + 25p , Σfi = 50
MEAN = Σfixi / Σfi
20.6 = 530 + 25p /50
20.6 × 50 = 530 + 25p
1030 = 530 + 25p
25 p = 1030 - 530
25p = 500
p = 500/25 = 20
p = 20