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

Essay

The heights (in centimeters) of 35 students at Hatfield College are given below:
$157.5, 142.2, 172.7, 165.1, 165.1, 177.8, 180.3, 165.1, 167.6, 180.3,\\162.6, 182.9, 147.3, 152.4, 157.5, 162.6, 172.7, 185.4, 155.0, 167.6,\\170.2, 177.8, 170.2, 175.3, 167.6, 190.5, 175.3, 160.0, 172.7, 160.3,\\165.1, 172.7, 175.3, 165.1, 162.6$
(a) Determine the range of the data.
(b) Make a frequency distribution using class widths of $8 \mathrm{~cm}$ . 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, $1^{\text {st }}$ quartile, median, $3^{\text {rd }}$ quartile, maximum).
(g) Find the standard deviation. Assume that the heights are a sample drawn from a larger population.