Statistics & Probability · Guided Practice

Statistical Diagrams

9 questions with answers and video solutions. Try each one before revealing the answer.

1
90\displaystyle 90 people were surveyed and 30\displaystyle 30 of them chose option A.
Calculate the angle that would represent option A on a pie chart.
Video solution coming soon
2
72\displaystyle 72 people were surveyed and 18\displaystyle 18 of them chose walking.
Calculate the angle that would represent walking on a pie chart.
Video solution coming soon
3
A survey of favourite chocolate gave:
white 20\displaystyle 20, milk 34\displaystyle 34, dark 26\displaystyle 26
Calculate the angle that would represent milk chocolate on a pie chart.
Give your answer to the nearest degree.
Video solution coming soon
4
The number of goals scored in nine matches was:
21,23,27,31,34,35,38,42,45\displaystyle 21, 23, 27, 31, 34, 35, 38, 42, 45
Write down the median.
Video solution coming soon
5
A line of best fit has equation t=0.8d+12\displaystyle t = 0.8d + 12, where d\displaystyle d is the distance in kilometres and t\displaystyle t is the time in minutes.
Use it to estimate the time taken for a distance of 25\displaystyle 25 km.
Video solution coming soon
6
2019 P1 Q3
(1, 2)3 Marks

The pie chart shows the number of hours overtime that 72 employees of a supermarket worked during one month.

Pie chart showing hours overtime

(a) Calculate how many employees worked 15+ hours overtime.

(b) Calculate the probability that an employee chosen at random worked 9 or less hours overtime.

7
2021 P1 Q15
3 Marks

Stuart's monthly budget is:
£660 for rent and bills
£450 for food and socialising
£90 for savings.

Construct a pie chart to show this information.

Blank circle for pie chart
8
2023 P1 Q11
3 Marks

A survey was conducted into favourite pie fillings.

The results were:

  • 80 people for apple
  • 40 people for cherry
  • 60 people for lemon.

Construct a pie chart to illustrate this information.

Blank circle template for a pie chart with a vertical starting line
9
2024 P1 Q10
3 Marks

In 2022 and 2023 all S4 pupils at Lowgrove Academy achieved a Numeracy qualification.

The results for S4 pupils in 2022 are shown in the pie chart.

Pie chart showing 2022 Numeracy results: National 3 54 degrees, National 5 144 degrees, National 4 162 degrees

The results for S4 pupils in 2023 are shown in the table.

Qualification Number of pupils
National 3 18
National 4 52
National 5 50

Determine if there has been an increase in the proportion of pupils achieving National 5 Numeracy.
Use your working to justify your answer.