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

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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

  Is there an error in this question or solution?

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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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