Problem 17.1 The Mean
The mean of a group of 5 numbers is 7. What might the numbers be?
Problem 17.2 The Median
The median of a group of 7 numbers is 10. What might the numbers
be?
Problem 17.3 The Mean and Median
Describe a sample for which the median is 3 more than the mean.
Problem 17.4 Mean is Equal to the Median
Five students sat for a mathematics test and four of those students
received marks of 5, 6, 8 and 9 respectively. Try to work out the
score of the fifth student if the mean mark is equal to the median mark.
Problem 17.5 The Score
Five students sat for a geography test and four of those students
received marks of 5, 6, 8 and 8. Try to work out the score of the
fifth student if:
a. the mean is equal to the mode.
b. the mean is greater than the median.
c. the mean is greater than 8.
Problem 17.6 Adding a Number to Each Score
Find the effect on the mean when a set of scores has 4 added to each
score.
Problem 17.7 Each Score Doubled
Find the effect on the mean when a set of scores has each score doubled.
Problem 17.8 Each Score Halved
Find the effect on the mean when a set of scores has each score halved.
Problem 17.9 Percentage Increase
Find the effect on the mean when a set of scores has each score increased
by 20%.
Problem 17.10 Effect on the Median and Mode
Find the effect on:
i. the median
ii. the mode
when a set of scores has:
a. 5 added to each score
b. each score doubled
c. each score halved
d. each score increased by 50%
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