1What is statistics?
2Write a short history of statistics.
3What is a measure of central tendency? Name three measures of central tendency.
4The marks of five students in three groups are: Group A: 48, 49, 50, 51, 52; Group B: 40, 45, 50, 55, 60; Group C: 20, 35, 50, 65, 80. Show that the three groups have the same mean, and explain why the mean alone does not describe them fully.
5Classify Groups A, B and C of the previous question as showing low, moderate or high variation, giving a reason for each.
6Define dispersion.
7In what ways does a measure of dispersion help us?
8In five matches, Batsman P scored 38, 40, 42, 39 and 41 runs, and Batsman Q scored 0, 90, 5, 100 and 5 runs. Find each batsman's mean score. Which batsman is more consistent?
9Two sets of data are 10, 20, 30 and 19, 20, 21. Find the mean of each set and say which set has greater dispersion.
10Why do we need both a measure of central tendency and a measure of dispersion to understand data?