CAIE IGCSE Mathematics Core C9.5 Scatter Diagrams Topic Practice

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Covered syllabus points

C9.5.1 Draw and interpret scatter diagrams.C9.5.2 Understand what is meant by positive, negative and zero correlation.C9.5.3 Draw by eye, interpret and use a straight line of best fit

Question 1

[Maximum number: 5]

Question (a)

(a)

As part of a sports competition, 14 athletes run 100 m and complete a swimming race.
The scatter diagram shows the times, in seconds, to run 100 m and the times, in seconds, to complete the swimming race, for 11 of these athletes.

Time to complete the swimming race (s)

Figure for Question (a) — CAIE IGCSE Mathematics Core

The table shows the times for the other 3 athletes.

Table for Question (a) — CAIE IGCSE Mathematics Core
[ 5 ]

Question (i)

(i)

On the scatter diagram, plot these three points.

[ 2 ]

Question (ii)

(ii)

State the type of correlation shown in the scatter diagram.

[ 1 ]

Question (iii)

(iii)

On the scatter diagram, draw a line of best fit.

[ 1 ]

Question (iv)

(iv)

Another athlete completes the swimming race in 23.8 seconds.

Use your line of best fit to estimate the athlete's time to run 100 m .

[ 1 ]

Question 2

[Maximum number: 3]

A school records the marks students score in Paper 1 and Paper 2 of a subject.
The scatter diagram shows the scores for twelve students.

Figure for Question 2 — CAIE IGCSE Mathematics Core

Question (a)

(a)

What type of correlation is shown in the scatter diagram?

[ 1 ]

Question (b)

(b)

On the scatter diagram, draw a line of best fit.

[ 1 ]

Question (c)

(c)

Another student scores 35 on Paper 1.

Use your line of best fit to find an estimate for their score on Paper 2.

[ 1 ]

Question 3

[Maximum number: 4]

The scatter diagram shows the price of petrol per litre and the number of litres sold at a petrol station on each of ten days.

Figure for Question 3 — CAIE IGCSE Mathematics Core

Question (a)

(a)

These are the results for two more days.

Table for Question (a) — CAIE IGCSE Mathematics Core

Plot this information on the scatter diagram.

[ 1 ]

Question (b)

(b)

What type of correlation is shown in the scatter diagram?

[ 1 ]

Question (c)

(c)

On the scatter diagram, draw a line of best fit.

[ 1 ]

Question (d)

(d)

One day the price of petrol was $ 1.55 per litre.

Use your line of best fit to estimate the number of litres sold.
litres

[ 1 ]

Question 4

[Maximum number: 2]

As part of a sports competition, 14 athletes run 100 m and complete a swimming race.
The scatter diagram shows the times, in seconds, to run 100 m and the times, in seconds, to complete the swimming race, for 11 of these athletes.

Time to complete the swimming race (s)

Figure for Question 4 — CAIE IGCSE Mathematics Core

The table shows the times for the other 3 athletes.

Table for Question 4 — CAIE IGCSE Mathematics Core

On the scatter diagram, plot these three points.

Question 5

[Maximum number: 1]

A school records the marks students score in Paper 1 and Paper 2 of a subject.
The scatter diagram shows the scores for twelve students.

Figure for Question 5 — CAIE IGCSE Mathematics Core

What type of correlation is shown in the scatter diagram?

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