Statistical Diagrams Practice Questions

Question 1

3 marks

The pictogram gives information about the number of bicycles hired from a shop on each of four days.

(a)

Write down the number of bicycles hired on Tuesday.

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(b)

On Thursday, 30 bicycles were hired.

Describe how you would complete the pictogram for Thursday.

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(c)

Work out the total number of bicycles hired on these four days.

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Question 2

3 marks

The table gives information about the masses of 60 parcels.

Mass ( $m$ kg)	Frequency
$0 < m \le 1$	9
$1 < m \le 2$	14
$2 < m \le 3$	18
$3 < m \le 4$	12
$4 < m \le 5$	7

(a)

On a grid, draw a frequency polygon for the information in the table.

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(b)

Ali looks at the frequency polygon and says

"The heaviest parcel had a mass of $4.5$ kg."

Is Ali correct? Give a reason for your answer.

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Question 3

2 marks

Raj has drawn this graph to show the number of ice creams he sold each month.

Write down two things that are wrong or could be misleading with this graph.

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Question 0

4 marks

Here are the times, in seconds, taken by each of 15 students to solve a puzzle.

$42 \quad 55 \quad 38 \quad 61 \quad 47 \quad 53 \quad 39 \quad 58 \quad 44$
$50 \quad 62 \quad 47 \quad 36 \quad 55 \quad 49$

(a)

Draw an ordered stem and leaf diagram for this information.

You must include a key.

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(b)

Work out how many of these students took less than 50 seconds to solve the puzzle.

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Question 0

4 marks

90 people who work at a factory were asked how they travel to work.
The table shows the results.

Type of travel	Frequency
Walk	15
Bus	24
Car	36
Cycle	15

(a)

Draw an accurate pie chart for this information.

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(b)

Sam says,

"The pie chart shows that more than a third of these people travel to work by car."

Is Sam correct? You must give a reason for your answer.

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Question 0

4 marks

85 students in Year 10 and Year 11 each study one language.
The two-way table shows some information about the languages they study.

	French	Spanish	German	Total
Year 10	18		9	45
Year 11		20
Total	32		15	85

(a)

Complete the two-way table.

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(b)

Work out the percentage of all 85 students who study French.

Give your answer correct to 1 decimal place.

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Question 0

4 marks

The table shows the number of visitors, in hundreds, to a museum in each quarter of 2022 and 2023.

Year	Quarter	Number of visitors (hundreds)
2022	1	12
2022	2	18
2022	3	26
2022	4	15
2023	1	14
2023	2	21
2023	3	29
2023	4	18

(a)

On a grid, draw a time series graph for this information.

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(b)

Describe the trend in the number of visitors to the museum.

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(c)

Bella wants to use her graph to predict the number of visitors to the museum in quarter 3 of 2027.

Explain why her prediction may not be reliable.

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Question 0

6 marks

The pie charts give information about the hot drinks chosen by people in two cafés, Ashford and Barnwell.

150 people were asked in Ashford.
240 people were asked in Barnwell.

(a)

Work out the number of people in Ashford who chose tea.

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(b)

Sara says,

"The sector for coffee is bigger in the Ashford pie chart, so more people chose coffee in Ashford than in Barnwell."

Is Sara correct? You must show your working.

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(c)

Work out the percentage of all the people asked in the two cafés who chose tea.

Give your answer correct to 1 decimal place.

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Number

Algebra

Ratio, Proportion & Rates of Change

Geometry & Measures

Probability

Statistics

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