Mean/Median/Mode
Range/IQR
Problem Solving
Reasoning
100

For the stem-and-leaf plot below, what is the mode?

50

100

For the stem-and-leaf plot below, what is the range?

29 - 9 = 20

100

Find how many cities had average temperatures: between   −10°C  and   10°C    

5

100

A stem-and-leaf plot is constructed showing the ages of all the people who attended a local farmer’s market at a certain time of the day. However, the plot’s leaves cannot be read. 

How many people aged in their   30s  were at the market? 

10

200

What is the mode? 

-24°C

200

This stem-and-leaf plot gives the average winter temperatures in 15 different cities. What is the range of the temperatures listed?

23 - (-29) = 23 + 29 = 52

200

Find how many cities had average temperatures between   −25°C  and   5°C  

10

200

A stem-and-leaf plot is constructed showing the ages of all the people who attended a local farmer’s market at a certain time of the day. However, the plot’s leaves cannot be read. 

How old is the youngest person? 

Between 10 and 19 years old

300

This stem-and-leaf plot gives the average winter temperatures in 15 different cities. What is the median temperature listed? 

-5°C

300

For the stem-and-leaf plot below, what is the IQR?

21

300

Find how many cities had average temperatures below   4°C

10

300

Give two reasons why it might be important that data values are sorted in stem-and-leaf plots?

  • quickly find the median, range or IQR

  • identify the mode, minimum or maximum

  • check data distribution or notice trends at a glance

400

What is the average (or mean) of all the listed temperatures in the   15   cities? Give your answer correct to   one  decimal place. 

−5.2°C

400

What is the IQR? 

6 - (-12) = 6 + 12 = 18

400

Why is there a   0   row and a   −0   row, even though   0  and   −0  are the same number? 

Because the stem -0 contains numbers –01 to -09 which are different than 01 to 09

400

A stem-and-leaf plot is constructed showing the ages of all the people who attended a local farmer’s market at a certain time of the day. However, the plot’s leaves cannot be read. 

How many people aged   35  or over were at the market? (either determine the exact answer or give a range of values the answer could take.)

Between 18 and 28

500

A stem-and-leaf plot is constructed showing the ages of all the people who attended a local farmer’s market at a certain time of the day. However, the plot’s leaves cannot be read. 

Explain why it is possible to determine how many people were aged 40 or over, but not the number of people who were aged 40 or under. 

Cannot determine how many people are exactly aged   40 years.