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 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.