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Question

Find the value of 'p' if the mean of the following data is 17.

xi10p182125fi1015799


A

12

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B

14

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C

16

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D

18

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Solution

The correct option is B

14


Average or mean value of a given number of observations is the sum of all the observations divided by the total number of observations.

xi10p182125fi1015799xifi10015p126189225
Mean =xififi
xifi = 100 + 15p + 126 + 189 + 225
= 640 + 15p

fi = 50

given that mean = 17

640 + 15p = 50 x 17
15p = 210
p = 14


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