Browsing as Guest. Progress, bookmarks and attempts are disabled.
Log in to track your work.
Nov 2018 p63 q7
2364
The heights, in cm, of the 11 members of the Anvils athletics team and the 11 members of the Brecons swimming team are shown below.
Anvils
173
158
180
196
175
165
170
169
181
184
172
Brecons
166
170
171
172
178
181
182
183
183
192
Draw a back-to-back stem-and-leaf diagram to represent this information, with Anvils on the left-hand side of the diagram and Brecons on the right-hand side.
Find the median and the interquartile range for the heights of the Anvils.
Solution
Solution
(i) The back-to-back stem-and-leaf diagram is constructed as follows:
Anvils
Brecons
8
15
6
95
16
6
5320
17
01228
410
18
1233
6
19
2
Key: \( 5 \mid 1 \mid 6 \) means \(165\) cm (Anvils) and \(166\) cm (Brecons).
(ii) To find the median and interquartile range for the Anvils: