The following data give the heights in centimeters of a group of people. Height in centimeters 178 | 157 152 171 171 149 158 | 166 150 144 167 152 175 153 182 162 152 165 167 166 154 170 154| 162 190 166 156 180 153 166 157 184 161 161 159 152 (a) Construct a stem-and-leaf graph for the given data. (b) Draw a table with the relative frequencies and cumulative frequencies (in percentages) for all class intervals. (c) Construct a histogram for the given data, showing relative frequencies as percentages on the y (vertical) axis. (d) Draw a cumulative frequency polygon for the data. (e) Comment on the skewness of the data.

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In (b), (c) and (d), use class intervals of width 10 centimeters, starting from 140 cm.

Question 1
The following data give the heights in centimeters of a group of people.
Height in centimeters
152
171
178
157
171
149
158
166
150
175 153
162 152| 165
190 | 166
144
167
152
182
167
166
154
170
154
162
156
180
153
166
157
184
161
161
159
152
(a) Construct a stem-and-leaf graph for the given data.
(b) Draw a table with the relative frequencies and cumulative frequencies (in percentages) for all
class intervals.
(c) Construct a histogram for the given data, showing relative frequencies as percentages on the
y (vertical) axis.
(d) Draw a cumulative frequency polygon for the data.
(e) Comment on the skewness of the data.
In (b), (c) and (d), use class intervals of width 10 centimeters, starting from 140 cm.
Transcribed Image Text:Question 1 The following data give the heights in centimeters of a group of people. Height in centimeters 152 171 178 157 171 149 158 166 150 175 153 162 152| 165 190 | 166 144 167 152 182 167 166 154 170 154 162 156 180 153 166 157 184 161 161 159 152 (a) Construct a stem-and-leaf graph for the given data. (b) Draw a table with the relative frequencies and cumulative frequencies (in percentages) for all class intervals. (c) Construct a histogram for the given data, showing relative frequencies as percentages on the y (vertical) axis. (d) Draw a cumulative frequency polygon for the data. (e) Comment on the skewness of the data. In (b), (c) and (d), use class intervals of width 10 centimeters, starting from 140 cm.
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