Data and charts · Ages 11–12
Line graphs, the mean (average) and pie charts worksheet
Covers: Line graphs (broken line graphs), Drawing a line graph (broken line graph), The mean (average), How a mean changes, Pie charts, Drawing pie charts and surveys, Choosing charts, and charts that mislead
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Line graphs, the mean (average) and pie charts worksheet
Data and charts · Ages 11–12
Numsprite
numsprite.com
Name:Date:Score:／48
Write each answer in the space. For word problems, show your working and write a sentence answer.
Part A: Working out and filling in (2 marks each)
1.Highest − lowest = ? cm
Answer:
2.Height in week 2 = ? cm
Answer:
3.Drawing a line graph, the side starts at 0 and each square stands for 5. How many squares up does the point for 45 go?
Answer:
4.The biggest number in the table is 548. The side of the line graph starts at 0 with 50 a square. At least how many squares tall must it be?
Answer:
5.Mean of the buns = ?
Answer:
6.The mean is 49: December = ?
Answer:
7.The mean of 4 numbers is 35. With one more number, 65, what is the mean of the 5 numbers?
Answer:
8.The mean of 7 numbers is 36. If 8 is added to every number, what is the new mean?
Answer:
9.$240 in all: Toys = $?
Answer:
10.Savings: ?% of the whole
Answer:
Part B: Choose, or true or false (2 marks each)
11.Chi-keung wants to know which sport the 130 members of a community centre like best. Which survey question is best?
- A. Football is the most exciting sport, so it is your favourite too, isn't it?
- B. Do you like sport?
- C. Which sport do you like best? (football / basketball / swimming / other)
- D. Do you like football or basketball best?
Choose the right answer
Answer:
12.This bar chart's scale starts at 0.
True or false?
Answer:
Part C: Word problems (4 marks each)
13.A line graph shows the midday temperature on four days: 25°C on Monday, 26°C on Tuesday, 23°C on Wednesday and 12°C on Thursday. What is the difference between the highest and lowest temperatures, in degrees?
Working:
Answer:
14.Ka-yan wants a line graph of the steps walked each day for a week; the most in a day was 13,800. The side starts at 0 with 1000 steps a square. At least how many squares tall must it be?
Working:
Answer:
15.The mean of three numbers is 44. Two of them are 52 and 40. What is the third?
Working:
Answer:
16.A club of 14 has a mean weight of 43 kg. When a new member joins, the mean rises by 1 kg. How heavy is the new member, in kg?
Working:
Answer:
17.A pie chart shows the favourite fruit of 200 pupils in a class. Apples make up 30% of the chart. How many pupils like apples best?
Working:
Answer:
18.A tourism office wants to show how visitor numbers changed year by year over the last 12 years. Which chart suits it best?
- A. Bar chart
- B. Pictogram
- C. Line graph
- D. Pie chart
Choose the right answer
Working:
Answer:
Show the answers and working
Line graphs, the mean (average) and pie charts worksheet: Answers and working
Part A: Working out and filling in
1. Highest − lowest = 12 cm
Each grid line stands for 2. Highest: week 5's point is on line 7, 7 × 2 = 14; lowest: week 1's point is on line 1, 1 × 2 = 2; 14 − 2 = 12
2. Height in week 2 = 2 cm
Each grid line stands for 2: week 2's point is on line 1, 1 × 2 = 2
3. 9 squares
The side starts at 0, 5 a square. How many lots of 5 are there in 45?
45 ÷ 5 = 9.
4. 11 squares
Work out 548 ÷ 50. The biggest number must fit on, so what if it isn't whole?
548 ÷ 50 isn't whole, so round up: 11 squares fit it.
5. Mean of the buns = 21
Mean = total ÷ how many: 11 + 27 = 38, 38 + 21 = 59, 59 + 25 = 84, 84 ÷ 4 = 21
6. The mean is 49: December = 56
The total must be mean × how many, then take the numbers given: 49 × 4 = 196, 196 − 52 = 144, 144 − 40 = 104, 104 − 48 = 56
7. 41
Means can't just be added. Find the old total first: 35 × 4.
Total 35 × 4 = 140; 140 + 65 = 205; 205 ÷ 5 = 41.
8. 44
With 8 added to every number, how much does the total grow? Divided by 7, how much does the mean grow?
The total grows by 8 × 7; divided by 7, the mean grows by 8: 36 + 8 = 44.
9. $240 in all: Toys = $30
What part of 360° is 45°? 360 ÷ 45 = 8, so 18; 240 ÷ 8 = 30
10. Savings: 20% of the whole
The parts make 100%: add the ones you know first, 20 + 15 = 35, 35 + 45 = 80, 100 − 80 = 20, so Savings is 20%
Part B: Choose, or true or false
11. C. Which sport do you like best? (football / basketball / swimming / other)
A good question doesn't push people towards one answer, gives every choice, and asks just what you want to know.
A good question doesn't lead, has every choice (with “other”), and asks exactly what you want to know.
12. False
Look at the lowest number on the scale.
Look at the lowest number on the scale: if it isn't 0, the difference in the bars is blown up.
Part C: Word problems
Marking: 2 for the working, 1 for the answer, 1 for the sentence.
13. A line graph shows the midday temperature on four days: 25°C on Monday, 26°C on Tuesday, 23°C on Wednesday and 12°C on Thursday. What is the difference between the highest and lowest temperatures, in degrees? (Answer: 14°C)
26 − 12 = 14
14. 14 squares
Work out 13,800 ÷ 1000. The biggest day must fit on, so what if it isn't whole?
13,800 ÷ 1000 isn't whole, so round up: 14 squares.
15. The mean of three numbers is 44. Two of them are 52 and 40. What is the third? (Answer: 40)
3 × 44 = 132; 3 × 44 − 52 − 40 = 40
16. 58 kg
The new mean is 43 + 1. Compare the old and new totals: 14 people and 15.
Now 15 people average 44 kg, total 44 × 15; before, 43 × 14; 58 apart.
17. A pie chart shows the favourite fruit of 200 pupils in a class. Apples make up 30% of the chart. How many pupils like apples best? (Answer: 60 pupils)
200 × 30 ÷ 100 = 60
18. C. Line graph
It's about how numbers change year by year. Which chart shows rises and falls over time best?
A line graph shows how something changes over time.
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