Success Homeschool

Year 7 Mathematics · Comparing data displays

Name: ______________________

Date: ____________

1. Favourite sports — Swimming: Group A 8, Group B 5; Soccer: Group A 6, Group B 9; Tennis: Group A 4, Group B 4. Which sport was most popular in Group B?
- ☐ (a) Swimming
- ☐ (b) Soccer
- ☐ (c) Tennis
2. Using the same survey (Swimming: A 8, B 5; Soccer: A 6, B 9; Tennis: A 4, B 4), how many people in Group A were surveyed?
3. Using the same survey (Swimming: A 8, B 5; Soccer: A 6, B 9; Tennis: A 4, B 4), how many more people in Group B than in Group A chose soccer?
4. Using the same survey (Swimming: A 8, B 5; Soccer: A 6, B 9; Tennis: A 4, B 4), which sport was equally popular in both groups?
- ☐ (a) Swimming
- ☐ (b) Soccer
- ☐ (c) Tennis
- ☐ (d) None of them
5. A column graph's vertical axis starts at 90 instead of 0. What effect does this usually have?
- ☐ (a) It makes small differences look much bigger than they really are.
- ☐ (b) It makes differences look smaller than they really are.
- ☐ (c) It makes the graph more accurate.
- ☐ (d) It has no effect at all.
6. An advertisement says “4 out of 5 people prefer our toothpaste”. Only 5 people were asked. What is the main problem with this claim?
- ☐ (a) The sample is too small to be reliable.
- ☐ (b) 4 out of 5 cannot be written as a fraction.
- ☐ (c) Asking 5 people is too many.
- ☐ (d) Toothpaste cannot be surveyed.
7. In the sports survey, 8 of the 18 people in Group A chose swimming. What fraction of Group A chose swimming, in simplest form? (Type your answer like 1/2.)
8. Which display is best for comparing the favourite sports of two different groups?
- ☐ (a) A side-by-side column graph
- ☐ (b) A line graph for one group only
- ☐ (c) A list of everyone's names
- ☐ (d) A tally chart for one group only

Answer sheet

1. Soccer — In Group B, 9 people chose soccer, which is more than swimming (5) or tennis (4).
2. 18 — 8 + 6 + 4 = 18 people.
3. 3 — 9 − 6 = 3.
4. Tennis — Tennis was chosen by 4 people in each group.
5. It makes small differences look much bigger than they really are. — Cutting off the bottom of the columns exaggerates the differences in their heights.
6. The sample is too small to be reliable. — With only 5 people, the result could easily change a lot if different people were asked. Larger samples give more reliable results.
7. 4/9 — 818: divide the numerator and denominator by 2 to get 49.
8. A side-by-side column graph — A side-by-side column graph shows both groups' results for each category next to each other, so they are easy to compare.