Grade 5 · Math · Unit 7 of 11
Data & Samples
Samples, mean and misleading graphs
What your child practises
Choosing a fair sample, using percents to compare groups, reading stacked-bar graphs, finding mean, median and mode, and spotting misleading graphs.
Ontario Curriculum expectation: D1.1–D1.6 · sampling, relative frequency, stacked-bar graphs, mean, median and mode, and misleading graphs
Sample questions
A taste of this unit. In the app, questions change every time and get easier or harder to match your child.
Question 1
A bar graph's side scale starts at 50 instead of 0. Why can this be misleading?
- It makes the bars shorter than they are.
- It makes small differences look big.
- It hides the title.
Show answer
It makes small differences look big.
Hint: Look closely at the scale, labels and sizes before you trust a graph.
Question 2
What is the median of these numbers?
18, 11, 31, 40, 2, 7
- 14.5
- 11
- 2
Show answer
14.5
Hint: Put the numbers in order. With two middle numbers, find the number halfway between them.
Question 3
What is the mean of these numbers?
7, 10, 13, 8, 2
- 8
- 11
- 10
Show answer
8
Hint: Add them all, then divide by how many there are.
Question 4
42 out of 50 students chose soccer. What percent of the students is that?
42/50 = /100
answer box%
Show answer
84 %
Hint: Write 42/50 as a fraction out of 100.
Question 5
What are the modes of this data?
10, 1, 9, 3, 9, 1
- 9 and 10
- 1 and 3
- 1 and 9
Show answer
1 and 9
Hint: The mode is the value that appears most often. There can be more than one.
Question 6
A town wants to know if people want a new park. Which sample is best?
- ask people chosen at random from all parts of the town
- ask only people at the library
- ask only the mayor's family
Show answer
ask people chosen at random from all parts of the town
Hint: A good sample is random and includes all kinds of people from the group.