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AustraliaVIC
VCE 12 General 2023

2.02 Compare two sets of data

Interactive practice questions

The data below shows the results of a survey conducted on the price of concert tickets locally and the price of the same concerts at an international venue.

Local International
Stem Leaf
$6$6 $0$0 $4$4 $6$6 $7$7
$7$7 $3$3 $5$5 $6$6 $6$6 $7$7
$8$8 $2$2 $4$4 $4$4 $5$5 $7$7
$9$9 $1$1 $4$4 $6$6 $7$7 $9$9
$10$10 $4$4
 
Stem Leaf
$6$6 $0$0 $7$7
$7$7 $0$0 $0$0 $3$3 $4$4
$8$8 $0$0 $5$5 $6$6 $6$6
$9$9 $1$1 $1$1 $3$3 $4$4 $6$6
$10$10 $1$1 $4$4 $4$4 $5$5 $6$6
 
Key: $1$1$\mid$$2$2$=$=$12$12
a

What was the most expensive ticket price at the international venue?

$\editable{}$ dollars

b

What was the median ticket price at the international venue? Leave your answer to two decimal places if needed.

c

What percentage of local ticket prices were cheaper than the international median?

d

At the international venue, what percentage of tickets cost between $\$90$$90 and $\$110$$110 (inclusive)?

e

At the local venue, what percentage of tickets cost between $\$90$$90 and $\$100$$100 (inclusive)?

Easy
6min

The test scores of $12$12 students in Music and French are listed below.

Music: $79,59,74,94,51,71,93,84,69,61,86,86$79,59,74,94,51,71,93,84,69,61,86,86

French: $62,71,64,82,83,99,87,89,66,73,59,76$62,71,64,82,83,99,87,89,66,73,59,76

Easy
2min

The stem-and-leaf plot shows the number of pieces of paper used over several days by Maximilian’s and Charlie’s students.

Medium
2min

The stem-and-leaf plot shows the test scores of a school's two Year 7 classes, A and B

Medium
5min
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Outcomes

U3.AoS1.8

two-way frequency tables, segmented bar charts, back-to-back stem plots, parallel boxplots, and scatterplots, and their application in the context of identifying and describing associations

U3.AoS1.20

construct parallel boxplots and use them to identify and describe associations between a numerical variable and a categorical variable

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