Maths Quest Maths B Year 11 for Queensland
WorkSHEET 10.2
1
Chapter 10 Summary statistics WorkSHEET 10.2
Summary statistics
In order to compare two textbooks, a teacher
recommends one book to one class and another
book to another class. At the end of the year the
classes are each tested; the results are detailed
below.
1
Name: ___________________________
6
Text A
44 52 95 76 13 94 83 72 55 81 22 25 64
72 35 48 56 59 84 98 84 21 35 69 28
Text B
65 72 48 63 68 59 68 62 75 79 81 72 64
53 58 59 64 66 68 42 37 39 55 58 52 82
79 55
2
(a)
Calculate the mean and standard
deviation for each group.
(b)
Which class performed better?
(c)
Which class was more consistent?
The box-and-whisker plot drawn below shows
the marks achieved by students in a class, on
their end of year exam.
(a)
(b)
(c)
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4
State the median.
Find the interquartile range.
What was the highest mark in the class?
The figures below show the number of vehicles
that pass through a particular intersection
between 4:00 pm and 5:00 pm over a two-week
period
88 92 114 82 94 83 84
85 85 90 95 82 95 103
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Maths Quest Maths B Year 11 for Queensland
4
Chapter 10 Summary statistics WorkSHEET 10.2
The data below show monthly rainfall in
millimetres.
Jan.
Feb.
Mar.
Apr.
May
June
July
Aug.
Sept.
Oct.
Nov.
Dec.
2
5
10
12
21
23
39
22
15
11
22
37
45
30
Draw a box-and-whisker plot of the data.
5
The number of points scored in each match by
two Rugby Union teams are shown below.
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Team 1 : 34 32 24 25 8 18 17 23 29 40
19 42
Team 2 : 23 20 35 21 46 7 9 24 27 38
41 30
Display these sets of data in a back-to-back
stem-and-leaf plot.
6
In a class of 30 students there are 15 boys and
15 girls. Their heights are measured and are
listed below.
Boys: 1.65, 1.71, 1.59, 1.74, 1.66, 1.69, 1.72
1.66, 1.65, 1.64, 1.68, 1.74, 1.57, 1.59
1.60
Girls: 1.66, 1.69, 1.58, 1.55, 1.51, 1.56, 1.64,
1.69, 1.70, 1.57, 1.52, 1.58, 1.64, 1.68
1.67
Display this information in a back-to-back
stem-and-leaf plot.
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Maths Quest Maths B Year 11 for Queensland
7
8
Chapter 10 Summary statistics WorkSHEET 10.2
The boxplot below shows Emma’s performance
in her physics and chemistry exams.
(a)
State the median mark for each subject.
(b)
Find the range of marks in each subject.
(c)
Find the interquartile range for each
subject.
(d)
In which subject did Emma perform
better? Explain your answer.
The stem-and-leaf plot below is used to display
the number of vehicles sold by the Ford and
Holden dealerships in a Sydney suburb each
week for a three month period.
Key: 1 | 5 = 15
Ford
Holden
74|0|39
952210|1|111668
8544|2|2279
0|3|5
(a)
State the median of both distributions.
(b)
Calculate the range of both distributions.
(c)
Calculate the interquartile range of both
distributions.
(d)
Show both distributions on a box-andwhisker plot.
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8
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Maths Quest Maths B Year 11 for Queensland
9
Chapter 10 Summary statistics WorkSHEET 10.2
The data below show the weekly incomes for a
sample of Year 11 boys and girls.
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8
Boys : $80 $110 $75 $130 $90 $125
$100 $100 $95 $115 $150
Girls : $50 $80 $75
$80 $100 $95
(a)
(b)
(c)
(d)
10
$90
$60 $250
Find the mean of each data set.
Find the standard deviation of each data
set.
Discuss whether boys or girls have a
higher average weekly income.
Discuss whether boys or girls have a
more consistent weekly income.
Use the data in question 9 to draw a parallel
boxplot of the data clearly showing any
outliers.
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