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Question

Calculate the mean and median for the following continuous frequency distribution.

Classfi 0−10610−20820−302030−402540−501550−601060−704


A
34.25, 32.4
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B
34.20, 34
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C
34.20, 32.1
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D
34, 32.1
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Solution

The correct option is B 34.20, 34
Classfi xi cfi xifi 010656301020815141202030202534500304025355987540501545746755060105584550607046588260883010

To calculate mean:We first compute xifi = 3010(from table provided above)Mean = xififi= 301088 = 34.2To calculate median:N = 88, therefore, N2 = 44So, the median class is 30 40(as 44th term lies in 3040 class)Median = L + (N2Cf)h= 30 +( 44 3425)10= 34


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