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14 November, 21:07

How will adding the value 75 affect the mean and median of the data set 1, 5, 7, 9, 9, 10?

A.

The median increases and the mean stays the same.

B.

The mean increases and the median stays the same.

C.

The median increases less than the mean increases.

D.

The mean and the median increase by the same amount.

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Answers (1)
  1. 14 November, 22:20
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    Prior to adding 75, the original data has a mean of 41/6 = 6.833 & a median of 8

    After adding the 75, the mean becomes 116/7 = 16.571 & the median = 9

    So the median increased slightly (from 8 to 9) & the mean increased more quickly (from 6.833 to 16.571)

    So it's C : The median increases less than the mean increases.
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