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The mean of the following data is 7.5. Find the value of P. x=3, 5, 7, 9, 11, 13 f=6, 8, 15, P, 8, 4

Posted by Ashutosh Savita 6 years, 10 months ago

CBSE > Class 10 > Mathematics

1 answers

Gaurav Seth 6 years, 10 months ago

Σfi = 41+p
Σfixi = 303+9p

Mean = Σfixi / Σfi

7.5 = (303+9p) / (41 +p)
7.5(41 +p) = 303 +9p
307.5 +7.5 p = 303 +9p
307.5 - 303 = 9p - 7.5 p
4.5 = 1.5 p
p = 4.5 / 1.5 = 3

P = 3

Hence, the value of p is 3.

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CBSE > Class 10 > Mathematics