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June 2014 p63 q1
2370
Some adults and some children each tried to estimate, without using a watch, the number of seconds that had elapsed in a fixed time-interval. Their estimates are shown below.
Adults
55
58
67
74
63
61
63
71
56
53
54
78
73
64
62
Children
86
95
89
72
61
84
77
92
81
54
43
68
62
67
83
Draw a back-to-back stem-and-leaf diagram to represent the data.
Make two comparisons between the estimates of the adults and the children.
Solution
Solution
(i) The back-to-back stem-and-leaf diagram is constructed as follows:
Adults
Children
86543
4
3
743321
5
4
8431
6
1278
7
27
8
13469
9
25
Key: \( 3 \mid 5 \mid 4 \) represents \( 53 \) seconds for adults and \( 54 \) seconds for children.
(ii) Comparisons:
Children's estimates are more spread out than adults'.
Adults' estimates are generally lower than children's.
Adults' estimates are roughly symmetrical, whereas children's estimates are skewed to the right.