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
Jon
Median    
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.