An athlete in training records the following times (in seconds)

45, 49, 60, 58, 47, 56, 51, 49, 59, 55, 42, 54

a Calculate the median and semi-interquartile range of these times

A second athlete had a median time of 51s and a SIQR of 7s.

b Make 2 valid comparisons about the athlete's training times

A striker logs his shots on target during 8 games.

11, 14, 7, 10, 10, 13, 15, 16

a Calculate the mean and standard deviation of his shots

A second striker also logged his shots on target.

His mean was 11 and his standard deviated was 3·1

b Make 2 valid comparisons about the striker's shots

An airline logs the time of flights (mins) between 2 cities.

120 134 112 117 

139 121 125 132

a Calculate the mean and standard deviation of times of the flights

A second airline records a mean of 121 minutes

and a standard deviation of 8·5.

b Make 2 valid comparisons between the airlines

An ambulance service monitors the response times of a medical air unit.

The times in minutes were as follows:

26, 40, 34, 50, 28, 38

a Calculate the mean and standard deviation of times of the times

The unit is upgraded with a new helicopter.

After the upgrade the mean response time was 32 minutes and the

standard deviation is 7·5 minutes.

b Make 2 valid comparisons comparing the response time after the upgrade

A dart player records his scores with 10 darts during a practice round.

60 40 5 3 15 

39 1 26 20 60

a Calculate the median and semi-interquartile range of these times

A second player had a median score of 24 and a SIQR of 16.

b Make 2 valid comparisons between the athletes.

An athlete records his run times during a 6 day period

62 57 72

60 63 64

a Calculate the mean and standard deviation of times of the times

After a diet change the athlete records his times again.

After his diet change, his mean time is 59 minutes and his standard deviation is 3.9

b Make 2 valid comparisons about his times before and after the diet.

A slimming group calculate their weight loss (in kg) over the course of 3 months.

4 10 12 6 5 8

a Calculate the mean and standard deviation of the weight losses.

A second slimming group uses a different diet regime.

Their mean weight loss is 9kg and the standard deviation is 2.5.

b Make 2 valid comments to compare the weight loss of the two groups.

A footballer has the amount of passes he makes in six matched logged.

86 99 100 81 91 83

a Calculate the mean and standard deviation of times of the amount of passes.

After an injury, the player's mean amount of passes was 82 and the standard deviation was 10.

b Make 2 valid comments to compare the amount of passes before and after his injury

A shop logs the sales made during a 10 day period

19 25 40 37 24

28 31 24 21 28

a Calculate the median and semi-interquartile range of this data

After an advertising campaign, the median number of sales was 29 a day
and the semi-interquartile range was 2.

b Make 2 valid comments to compare the sales before and after the advertisement campaign.

Scores of a basketball team during 9 games are recorded.

The scores in point are as follows:

110 98 100 88 104

101 95 90 86

a Calculate the median and semi-interquartile range of this data

After a new coach starts, the teams media score is 102 points and the semi-interquartile range is 4.5.

b Make 2 valid comments to compare the teams scoring before and after the arrival of the new coach.