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Question

Find out the missing item x of the following distribution, where arithmetic mean (¯X) is 11.37

X57X11131620Frequency (f)2429541184


Solution

Calculation of Missing Item

XFrequency (f)fx52107428x2929(x)1154594131114316812820480f=112fx=983+29x

¯X=fxf

11.37=983+29x112

1273.44=983+29x

29x=290.44

x=10.01=10

Hence, the missing value is 10.

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