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

#### 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 sumfx = 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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