Example (1):

The data below describe the fat content, in grams per serving ,for a sample of 11chicken sandwiches from fast-food chain: 10,9,12,14,13,15,18,19,20,22,24

(a)  Compute the ,,,mean, and the range

(b) Construct a boxplot and describe the shape

Solution:

9,10,12,13,14,15,18,19,20,22,24

Median=

Mean=16

Range=Max-Min=24-9=15

The distance from minimum to the median is (15-9=6) less than the distance from maximum to the median(24-15=9)

Example (2):

The data set below shows the overall miles per gallon (MPG) of a new model of small(SUV)

15 / 17 / 17 / 17 / 18 / 19 / 21 / 21 / 21
21 / 21 / 22 / 22 / 22 / 23 / 23 / 23 / 24
24 / 24 / 24 / 25 / 25 / 26 / 27

(a)Compute the ,,,mean, and the range

(b)Construct a boxplot and describe the shape

Solution:

Median=

Mean=21.68

Range=Max-Min=24-9=15

The distance from minimum to the median is (22-15=7) greater than the distance from maximum to the median(27-22=5)

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