1. Two runners Fred and Jon record their times over 800 metres for a season.
The box and whisker diagram below show these results.
a. Use the graph to copy and complete the table below.
Fred JonMedian Upper quartile Lower quartile Highest time Lowest time b. Comment briefly on the performances of the two runners.
2. The following table compares the examination results in mathematics of four schools. Draw side by side box and whisker plots and comment briefly on the results.
School 1
|
School 2
|
School 3
|
School 4
|
|
Maximum |
95
|
92
|
84
|
96
|
Minimum |
34
|
23
|
14
|
8
|
Median |
59
|
57
|
48
|
54
|
Upper quartile |
72
|
70
|
63
|
73
|
Lower quartile |
43
|
41
|
38
|
34
|
3. The table shows the lengths of 17 New Zealand rivers in kilometres.
Show this information on an ordered stem and leaf diagram, using the first two digits as the stem.
River
|
Length
|
River
|
Length
|
River
|
Length
|
River
|
Length
|
Waiau |
169 |
Waitaki |
209 |
Mohaka |
172 |
Whangehu |
161 |
Waiau (Southland) |
217 |
Rangitaiki |
193 |
Oreti |
203 |
Patea |
143 |
Waimakariri |
161 |
Manawatu |
182 |
Wairau |
169 |
Mokau |
158 |
Clarence |
209 |
Waihou |
175 |
Rakaia |
145 |
Ngarurora |
154 |
Buller
|
177
|
4. The final examination results of two classes are to be compared.
The results are shown below:
First class (%)
|
53 |
43 |
67 |
87 |
36 |
56 |
76 |
45 |
87 |
73 |
45 |
53 |
74 |
65 |
38 |
71 |
40 |
33 |
59 |
||
Second class (%)
|
46 |
45 |
47 |
67 |
56 |
59 |
66 |
50 |
79 |
80 |
35 |
55 |
77 |
55 |
30 |
65 |
42 |
39 |
39 |
Draw a back to back stem and leaf diagram for the classes.