Statistics & Data Interpretation

Reading tables, bar charts and line graphs; calculating the mean, mode and range

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Try each question. If you're stuck, leave it and come back. The answer key is on the last page.

1
A bar chart shows ice cream sales: Monday 12, Tuesday 8, Wednesday 15, Thursday 10, Friday 20. Which day had the most sales? A) Monday B) Wednesday C) Thursday D) Friday
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2
The scores in a maths test were: 5, 8, 3, 8, 6. What is the mode? The mode is ___
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3
Is this statement true or false? The range of 4, 9, 2, 7, 5 is 7. A) True B) False
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4
A table shows the number of books read: Ali 3, Beth 5, Carlos 2, Dina 6. How many books were read in total? A) 14 B) 15 C) 16 D) 17
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5
Find the mean of these numbers: 4, 7, 9, 12, 8. The mean is ___
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6
A line graph shows temperature at 9am was 8°C, at noon was 14°C, and at 3pm was 11°C. By how much did the temperature drop between noon and 3pm? A) 2°C B) 3°C C) 5°C D) 6°C
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7
Is this statement true or false? If the mean of five numbers is 10, their total must be 50. A) True B) False
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8
Four children scored 6, 8, 5 and 9 on a quiz. A fifth child joins and the mean becomes 7. What did the fifth child score? The fifth child scored ___
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9
A survey asked 40 children their favourite sport. Football: 15, Swimming: 10, Tennis: 8, Cricket: 7. What fraction chose swimming? A) 1/8 B) 1/5 C) 1/4 D) 1/3
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10
A data set has a mode of 12, a range of 9, and the smallest value is 7. What is the largest value? The largest value is ___
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Answer key

Statistics & Data Interpretation · for parents and teachers

1
Friday
Friday had 20 sales, which is more than any other day.
2
8
8 appears twice while all other numbers appear once. The mode is 8.
3
True
Range = largest - smallest = 9 - 2 = 7.
4
16
3 + 5 + 2 + 6 = 16 books in total.
5
8
Sum = 4 + 7 + 9 + 12 + 8 = 40. There are 5 numbers. Mean = 40 ÷ 5 = 8.
6
3°C
Temperature dropped from 14°C to 11°C. Drop = 14 - 11 = 3°C.
7
True
Mean = total ÷ count. So total = mean × count = 10 × 5 = 50.
8
7
Total needed = 7 × 5 = 35. Current total = 6 + 8 + 5 + 9 = 28. Fifth score = 35 - 28 = 7.
9
1/4
10 out of 40 chose swimming. 10/40 = 1/4 in simplest form.
10
16
Range = largest - smallest. So largest = smallest + range = 7 + 9 = 16.