Maharashtra State Board course SSC (English Medium) Class 9
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If the Mean of the Following Data is 20.2, Then Find the Value of P. - Algebra

ConceptMeasures of Central Tendency

Question

If the mean of the following data is 20.2, then find the value of p.

 x_i 10 15 20 25 30 f_i 6 8 p 10 6

Solution

We have,

 x_i f_i x_i f_i 10 6 60 15 8 120 20 p 20p 25 10 250 30 6 180 Total N = ( 30 + p ) Total sum = ( 610 + 20 p)

since, mean = 20.2

⇒ ( 610 + 20p) / ( 30 + p) = 20.2
⇒ 610 + 20p = 20.2 ( 30 + p)
⇒ 610 + 20p = 606 + 20.2p
⇒ 20.2p - 20p = 610 - 606
⇒ 0.2p = 4
⇒ p = 4/0.2
⇒ p = 20

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Solution If the Mean of the Following Data is 20.2, Then Find the Value of P. Concept: Measures of Central Tendency.
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