topic badge
Hong Kong
Stage 1 - Stage 3

Back to back stem and leaf plots

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 batting scores of two cricket teams, A and B

Easy
3min

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
Sign up to access Practice Questions
Get full access to our content with a Mathspace account

What is Mathspace

About Mathspace