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Question

find the value of x, if the mode of the data is 25:
15 ,20 ,25 ,18 ,14 ,15 ,25 ,15 ,18 ,16 ,20 ,25 ,20 , x ,18

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Solution

Dear student
Given observations are: 15, 20, 25, 18, 14, 15, 25, 15, 18, 16, 20, 25, 20, x, 18
Recall that the observation with highest frequency is the mode.
Given mode is 25
Notice that observations 15, 18, 20 and 25 are repeated 3 times.
Since the mode is 25, hence the value of x should be 25
∴ x = 25
Regards

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