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The Heights (In Centimeters) of 35 Students at Hatfield College

Question 20

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The heights (in centimeters) of 35 students at Hatfield College are given below:
157.5,142.2,172.7,165.1,165.1,177.8,180.3,165.1,167.6,180.3,162.6,182.9,147.3,152.4,157.5,162.6,172.7,185.4,155.0,167.6,170.2,177.8,170.2,175.3,167.6,190.5,175.3,160.0,172.7,160.3,165.1,172.7,175.3,165.1,162.6157.5, 142.2, 172.7, 165.1, 165.1, 177.8, 180.3, 165.1, 167.6, 180.3,\\162.6, 182.9, 147.3, 152.4, 157.5, 162.6, 172.7, 185.4, 155.0, 167.6,\\170.2, 177.8, 170.2, 175.3, 167.6, 190.5, 175.3, 160.0, 172.7, 160.3,\\165.1, 172.7, 175.3, 165.1, 162.6
(a) Determine the range of the data.
(b) Make a frequency distribution using class widths of 8 cm8 \mathrm{~cm} . Show both absolute and relative frequencies.
(c) Draw a frequency polygon showing both absolute and relative frequencies.
(d) Make a cumulative frequency distribution. Show both absolute and relative frequencies.
(e) Find the mean.
(f) Give the 5-number summary (minimum, 1st 1^{\text {st }} quartile, median, 3rd 3^{\text {rd }} quartile, maximum).
(g) Find the standard deviation. Assume that the heights are a sample drawn from a larger population.

Correct Answer:

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(a) 48.3
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(e) blured image
(f)...

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