# Create and Interpret 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
Approx 7 minutes

The test scores of 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

The Stem and Leaf plot shows the batting scores of two cricket teams, A and B

The back-to-back stem plots show the number of pieces of paper used over several days by Maximilian’s and Charlie’s students.

### Outcomes

#### S5-1

Plan and conduct surveys and experiments using the statistical enquiry cycle:– determining appropriate variables and measures;– considering sources of variation;– gathering and cleaning data;– using multiple displays, and re-categorising data to find patterns, variations, relationships, and trends in multivariate data sets;– comparing sample distributions visually, using measures of centre, spread, and proportion;– presenting a report of findings

#### S5-2

Evaluate statistical investigations or probability activities undertaken by others, including data collection methods, choice of measures, and validity of findings