Question

Fiber in the Diet

The number of grams of fiber eaten in one day for a sample of ten people are

8

11

12

13

17

21

21

28

31

131

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b) The value of 131 appears to be an obvious outlier. Compute the mean and the median for the nine numbers with the outlier excluded.

Round your answer for the mean to one decimal place.

Mean = ?
Median = ?

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(c) Comment on the effect of the outlier on the mean and on the median.

0 Strong effect on both

0 Strong effect on the mean but not the median

0 Strong effect on the median but not the mean

0 Not a strong effect on either

Answer 1

Given observations are 8,11,12,13,17,21,21,28,31,131

a)

we want mean and median for above samples excluding outlier 131

mean= =

mean= 18

For median we first arrange given observations in ascending order

8,11,12,13,17,21,21,28,31,131

Median =

median =(10/2 )^th observation

Median =5th obs

Median = 17

c) Mean and median including outlier 131

Mean =

Mean = 29.3

median =

Median = (6th obs + 5th obs)/2

Median =(21+17)/2

Median = 19

Answer- Strong effect on the mean but not the median

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