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Find the Value of P, If the Mean of the Following Distribution is 20. - CBSE Class 10 - Mathematics

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Question

Find the value of p, if the mean of the following distribution is 20.

x 15 17 19 20+P 23
f 2 3 4 5P 6

Solution

x f fx
15 2 30
17 3 51
19 4 76
20+P 5P 100P + 5P2
23 6 138
  N = 5P + 15 `sum`fx = 295 + 100P + 5P2

Given

⇒ Mean = 20

`rArr(sumfx)/N=20`

`rArr(295+100P+5P^2)/(5P+15)=20`

⇒ 295 + 100P + 5P2 = 20(5P + 15)

⇒ 295 + 100P + 5P2 = 100P + 300

⇒ 100P - 100P + 5P2 = 300 - 295

⇒ 5P2 = 5

⇒ P2 = 1

⇒ P = 1

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Solution Find the Value of P, If the Mean of the Following Distribution is 20. Concept: Mean of Grouped Data.
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