year 8 maths

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Semester review 2
2 If the results are shown as a sector graph, the size of the smallest sector would be:
A 36° B 6° C 10° D 60° E 30°
3 For the set of numbers 1, 5, 2, 10, 1, 6 , the difference between the mode and median is:
A 5.5 B 2.5 C 3.5 D 3.2 E 2
4 For the set of numbers 3, 2, 1, 5, 7, 3, 1, 3 , the mean is:
A 3 B 5 C 6 D 22.375 E 3.125
5 Which of the following sets of numbers has a mode of 3 and a mean of 2 ?
A 1, 1, 2, 2, 3 B 2, 2, 2, 4, 5 C 1, 2, 3, 4, 5 D 1, 3, 3, 3, 0 E 1, 2, 3, 3, 3
Short-answer questions
1 Find:
i the mean
ii the median
iii the range of these datasets.
a 10, 15, 11, 14, 14, 16, 18, 12
b 1, 8, 7, 29, 36, 57
c 1.5, 6, 17.2, 16.4, 8.5, 10.4
2 For the dataset 1, 1, 3, 5, 8, 8, 9, 10, 12, 17, 24, 30 , find:
a the median score b the lower quartile
c the upper quartile d the interquartile range
3 The mean mark for a Chemistry quiz for a class of 20 students is 16 out of 20 . On the same
quiz, another class of 15 students has a mean of 18 out of 20 . What is the combined mean
of all the students? Give your answer correct to one decimal place.
4 Calculate the mean and median for:
a 1, 2, 5, 10, 10, 13, 13, 18, 19, 24,
25, 28, 28, 30, 35
b Score Frequency
10 15
11 29
12 11
13 5
5 Draw a histogram for the frequency distribution table in Question 4 b .
6 This stem-and-leaf plot shows the ages of a group of people in a room.
a How many people are in the room?
b What are the ages of the youngest and oldest people?
c For the data presented in this plot, find the:
i range
ii median
iii mode
Stem Leaf
0 3 5
1 1 7 9
2 0 2 2 3
3 6 9
4 3 7
2 | 2 means 22
Cambridge Maths NSW
Stage 4 Year 8 Second edition
ISBN 978-1-108-46627-1 © Palmer et al. 2018
Cambridge University Press
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