4.11 Drills: computational exercises

(Answers are available in Sect. A.4)

These Drill exercises (repeated practice) give you practice at getting computations correct, and using your calculator. These drill questions are more about practising the underlying mathematics rather than the statistics.

If you need help, please ask.
  1. The data in Table 4.3 give the heights of female tennis players at the Australian Institute of Sport (AIS) in metres (Telford and Cunningham 1991).
    1. Using your calculator's Statistics Mode, find the mean and standard deviation of these numbers.
    2. Without using a calculator, find the median of these numbers.
TABLE 4.3: The heights (in metres) of females tennis players at the AIS
167.9 177.5 162.5 172.5 166.7 175 157.9
  1. The data in Table 4.4 give the usage, in tonnes, of polythene by 8 UK cosmetic companies (Gilchrist 2000).
    1. Using your calculator's Statistics Mode, find the mean and standard deviation of these numbers.
    2. Without using a calculator, find the median of these numbers.
TABLE 4.4: The amount of polythene (in tonnes) used by a sample of UK cosmetic companies
8.001 29.4 266.532 4298.7 94.5 2547.3 676.2 0
  1. The data in Table 4.3 give the percentage body fat of females swimmers at the Australian Institute of Sport (AIS) (Telford and Cunningham 1991).
    1. Using your calculator's Statistics Mode, find the mean and standard deviation of these numbers.
    2. Without using a calculator, find the median of these numbers.
TABLE 4.5: The percentage body fat of females swimmers players at the AIS
14.52 11.47 17.71 18.48 11.22 13.61 12.78 11.85 13.35

References

Gilchrist R. Regression models for data with a non-zero probability of a zero response. Communications in Statistics-Theory and Methods. Taylor & Francis; 2000;29(9-10):1987–2003.
Telford RD, Cunningham RB. Sex, sport, and body-size dependency of hematology in highly trained athletes. Medicine and Science in Sports and Exercise. 1991;23(7):788–94.