## Comparing Data Exercise

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 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.