SCATTER DIAGRAM LEVEL 6
QUESTION 1 Horses
The scatter diagram shows the heights and masses of some
horses. The scatter diagram also shows a line of best fit.
700
600
Mass
(kg)
500
400
300
140
150
160
Height (cm)
-
(a)
What does the scatter diagram show about the
relationship between the height and mass of horses?
-
(b)
The height of a horse is 163cm. Use the line of best fit to
estimate the mass of the horse.
.........……………….. kg
-
(c)
A different horse has a mass of 625kg. Use the line of
best fit to estimate the height of the horse. ...........……………. cm
170
(d)
A teacher asks his class to investigate this statement:
"The length of the back leg of a horse is always less than the length
of the front leg of a horse."
What might a scatter graph look like if the statement is
correct?
Use the axes below to show your answer.
110
100
Length of
back leg 90
(cm)
80
70
70
80
90
100
110
Length of front leg (cm)
QUESTION 2
Pizza
A company has 10 pizza shops.
All the shops sell the same types of pizza at the same prices.
Mr. Bal asked:
“Is there a relationship between the number of pizzas sold
and the number of people who live within 3 miles of a
shop?”
Mrs. Evans asked:
“Is there a relationship between the number of pizzas sold
and the floor area of a shop?”
They looked at these graphs.
GRAPH 1
400
350
Average
number
of pizzas
sold each
day
x
300
x
x x
250
200
x
x
x
x
x
150
x
100
50
0
0
5
10
15
20
25
30
35
40
45
50
55
60
55
60
Number of people who live
within 3 miles (thousands)
GRAPH 2
400
350
Average
number
of pizzas
sold each
day
x
x
300
250
x
x
200
x
x
150
x
x
x
100
x
50
0
0
5
10
15
20
25
30
35
Floor area (m²)
40
45
50
-(a) What does graph 1 show about the relationship between the
average number of pizzas sold each day and the number of people
who live within 3 miles of a shop?
(b)
-
What does graph 2 show about the relationship between the
average number of pizzas sold each day and the floor area of
a shop?
QUESTION 3
Scores
A competition has 3 different games.
(a)
Jeff plays 2 of the games.
Game A
Game B
62
53
Score
Game C
To win, Jeff needs a mean score of 60.
How many points does he need to score in Game C?
Show your working.
(b)
Imran and Nia play the 3 games.
Their scores have the same mean.
The range of Imran’s scores is twice the range of Nia’s
scores.
Fill the missing scores in the table below:
Imran’s scores
...............
40
...............
35
40
45
Nia’s scores
The scatter diagrams show the scores of everyone who plays all 3
games.
100
100
xx
80
40
x
20
x
xx
x
x
x
80
x
x x
x
x
Game 60
B
x
x
x
x
Game 60
C
x
xx
40
xx
x
x
x
20
x
x
x
x
0
0
20
40
60
Game A
80
100
0
0
20
40
60
Game A
80
100
(c)
Look at the scatter diagrams.
Which statement most closely describes the relationship
between the games?
Tick () the correct statement.
Game A and Game B
perfect
negative
relationship
negative
relationship
no
relationship
positive
relationship
perfect
positive
relationship
Game A and Game C
perfect
negative
relationship
(d)
negative
relationship
no
relationship
positive
relationship
perfect
positive
relationship
What can you tell about the relationship between the scores
on Game B and the scores on Game C?
Tick () the statement that most closely describes the
relationship.
Game B and Game C
perfect
negative
relationship
negative
relationship
no
relationship
positive
relationship
perfect
positive
relationship