The tables show the battery lives (in hours) of two brands of laptops.a) Make a double box-and-whisker plot that represent's the data.

shadsiei

shadsiei

Answered question

2020-12-30

The tables show the battery lives (in hours) of two brands of laptops. a) Make a double box-and-whisker plot that represents

Answer & Explanation

gwibdaithq

gwibdaithq

Skilled2020-12-31Added 84 answers

a) Double box-and-whisker plot: For brand A, Arranging the data in ascending order, 8.5, 11.5, 13.5, 13.5, 14.5, 15.5, 16.25, 16.75, 18.5, 20.75
Lowest value=8.5
Highest value=20.75
Lower quartile=13.5
Upper quartile=16.75
Median=14.5 + 15.52
=15 For brand B, Arranging the data in ascending order, 7, 8.5, 8.5, 9, 9, 9.5, 9.75, 10.25, 12.5
Lowest value=7.8
Highest value=12.5
Lower quartile=8.5
Upper quartile=10.25
Median=9 + 9.52
=9.25 image b) For Brand A. The median is placed towards the left-side of the box, this means that most of the data lies on left side and distribution is skewed right. For Brand B. The median is placed towards the left-side of the box, this means that most of the data lies on left-side and distribution is skewed right. c) Brand A's battery lives are more spread out because its range (20.75  8.5=12.25) is greater as compared to brand B's battery lives range (12.5  7=5.5). d) As both distributions are skewed, median should be used as a measure of center and five-number summary for measuring variation. For brand A, median is 15 while for brand B median is 9.25.

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