Statistical diagrams

1

Jamie conducted a survey. He asked his classmates how they travelled to school that day.

Here are their replies: walk (13), bus (9), car (6), cycle (2).

Jamie wants to display this information in a pie chart. What angle would travelling by car need?

2

A pie chart about eye colour in a sample of 200 students was split up as follows: brown ( 146^{\circ}), green ( 63^{\circ}), grey ( 36^{\circ}), blue ( 115^{\circ}).

How many people in the sample had green eyes?

3

The total cost of a holiday was \pounds420.

A pie chart showed how the cost was made up: food ( 180^{\circ}), hotel ( 90^{\circ}), travel ( 60^{\circ}), other items ( 30^{\circ}).

How much was spent on travel?

4

The teachers and pupils in a school were asked to state which TV Channel they preferred.

The results were: BBC1 ( 35\%), BBC2 ( 5\%), ITV ( 50\%), Channel 4 ( 10\%).

What angle in a pie chart would represent BBC1?

5

A pop singer's budget over a three month period was as follows: recording latest single ( \pounds6\,000), pressing record and producing sleeve ( \pounds3\,000), poster campaign ( \pounds5\,000), living expenses ( \pounds2\,000), wardrobe ( \pounds2\,000).

What angle in a pie chart would represent the poster campaign?

6

Class 1C2 are going on a coach trip and they can’t decide which film to watch.

They do a survey and these are the results.

A pie chart showing the most favourite film in a survey was Start Wars followed by Toy Story, Shrek and the Avengers.

Which film should they watch?

7

Udny Academy wants to introduce a new colour for their school uniform.

They do a survey of the boys and the girls to find out which colour they would prefer.

These are the results.

A frequency of 50 for boys and 30 for girls with Blue. A frequency of 20 for boys and 50 for girls with Red. A frequency of 40 for boys and 10 for girls with Green.

Which colour should Udny Academy choose?

8

Alex has an IQ of 118.

Use the line of best fit on the diagram to estimate Alex's mark in the general knowledge test.

Scatter diagram showing positive correlation between IQ and result in general knowledge test

9

Sheena scored 17 in the general knowledge test.

Use the line of best fit on the diagram to estimate Sheena's IQ.

Scatter diagram showing positive correlation between IQ and result in general knowledge test

10

Look at the scatter diagram below.

The line of best fit has been drawn.

Its equation is y = \frac{1}{2}x + 10.

Scatter diagram of science vs maths test results showing line of best fit and its equation, y = 1/2x + 10

Ahmed scored 16 in the Maths test but missed the Science test.

Use the equation of the line of best fit to obtain an approximate score for Ahmed in the Science test.

11

Look at the scatter diagram below. The line of best fit has been drawn.

Its equation is y = \frac{1}{2}x + 10.

Scatter diagram of science vs maths test results showing line of best fit and its equation, y = 1/2x + 10

Bobby scored 37 in the Maths test but missed the Science test.

Use the equation of the line of best fit to obtain an approximate score for Bobby in the Science test.

12

Look at the scatter diagram below. The line of best fit has been drawn.

Its equation is y = \frac{1}{2}x + 10.

Scatter diagram of science vs maths test results showing line of best fit and its equation, y = 1/2x + 10

Scott scored 24 in the Science test but missed the Maths test.

Use the equation of the line of best fit to obtain an approximate score for Scott in the Maths test.

13

This scatter diagram shows the cost and age of cars for sale at a garage.

The owner of the garage says that the older cars have a lower value. Is he correct?

A scatter diagram shows the cost and age of cars for sale at a garage. The owner of the garage says that the older cars have a lower value