F.5 Chapter 11 Measures of Dispersion
Homework
Name: _____________________(
Date: ___________
1.
)
Find the range of the following set of data.
18, 2, 5, 23, 4, 7, 1
2.
Find the inter-quartile range of the following set of data.
35, 13, 28, 42, 21, 19, 8, 30
3.
Find the standard deviation of following set of data.
4, 10, 12, 24, 30, 34
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4.
The cumulative frequency curve shows the amounts of money (in $) spent by 60 women on
clothes in last three months. Find the inter-quartile range of the amounts of money spent by the
women on clothes in last three months. (Units are NOT required)
5.
The stem-and-leaf diagram shows the heights (in m) of 20 buildings. Find the inter-quartile range
of the heights of the 20 buildings. (Units are NOT required)
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6.
The bar chart shows the ages of 18 members in a dance group. Find the inter-quartile range of the
ages of the members in the dance group.
7.
If the mean of the six numbers 4, 7, 9, 9, 10 and x is 7.5, find the inter-quartile range of the six
numbers.
8.
The stem-and-leaf diagram shows the weights (in g) of 16 pears. The inter-quartile range of the
weights of the pears is 15.5 g. Find the value of a.
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9. o The following set of data is arranged in ascending order, where x and y are positive integers.
0, x + 1, x + 3, x + 4, x + 5, 2x + 5, 2x + 7, 10x + y
If the range and the inter-quartile range of the set of data are 15 and 5 respectively, find the median
of the set of data.
10.
The mean and the standard deviation of the three numbers a, b, c are 5 and 6 respectively. If the
mean of the four numbers a, b, c, d is also 5, find the standard deviation of a, b, c and d. (Leave
your answer in 3 significant figures.)
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