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22 questions at your level
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Level 2
Level 3
Level 4
Level 5
Histograms & frequency density
13 questions
Lesson
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The histogram shows information about the weights,
w
w
w
grams, of the letters posted at a post box one morning.
20
40
60
80
100
1
2
3
4
Weight, w (grams)
Frequency density
(a)
Work out the number of letters that weighed more than
60
60
60
g.
(b)
Work out the total number of letters posted.
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Level 3
5 marks
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Mark as done
The table shows information about the distances,
d
d
d
metres, thrown by each of 100 competitors at a school sports day.
Distance,
d
d
d
(m)
Frequency
0
≤
d
<
10
0 \le d < 10
0
≤
d
<
10
20
10
≤
d
<
25
10 \le d < 25
10
≤
d
<
25
45
25
≤
d
<
30
25 \le d < 30
25
≤
d
<
30
20
30
≤
d
<
50
30 \le d < 50
30
≤
d
<
50
15
(a)
Draw a histogram for this information.
(b)
Explain why the vertical axis of your histogram must be labelled "Frequency density" and not "Frequency".
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Level 3
4 marks
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Mark as done
The table shows the ages of
44
44
44
people at a club.
Age,
a
a
a
(years)
Frequency
0
<
a
≤
10
0 < a \le 10
0
<
a
≤
10
8
10
<
a
≤
15
10 < a \le 15
10
<
a
≤
15
12
15
<
a
≤
25
15 < a \le 25
15
<
a
≤
25
15
25
<
a
≤
40
25 < a \le 40
25
<
a
≤
40
9
(a)
Work out the frequency density for the
15
<
a
≤
25
15 < a \le 25
15
<
a
≤
25
class. (1 mark)
(b)
Estimate the number of people older than
20
20
20
. (2 marks)
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Level 3
3 marks
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Mark as done
The histogram shows information about the heights,
h
h
h
cm, of some plants.
10
20
30
40
50
60
0.5
1
1.5
2
2.5
3
Height, h (cm)
Frequency density
(a)
Work out the number of plants with a height between
10
10
10
cm and
20
20
20
cm. (2 marks)
(b)
There are
6
6
6
plants with a height greater than
30
30
30
cm.
Work out an estimate for the number of plants with a height greater than
25
25
25
cm. (2 marks)
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Level 3
4 marks
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Mark as done
The table shows the lengths,
l
l
l
cm, of
62
62
62
fish.
Length,
l
l
l
(cm)
Frequency
0
<
l
≤
5
0 < l \le 5
0
<
l
≤
5
10
5
<
l
≤
15
5 < l \le 15
5
<
l
≤
15
24
15
<
l
≤
20
15 < l \le 20
15
<
l
≤
20
12
20
<
l
≤
40
20 < l \le 40
20
<
l
≤
40
16
(a)
Work out the frequency density of the
5
<
l
≤
15
5 < l \le 15
5
<
l
≤
15
class. [1]
(b)
Estimate the number of fish with lengths between
10
10
10
cm and
20
20
20
cm. [2]
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Level 3
3 marks
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Interpreting histograms
12 questions
Lesson
Not started
Mark as done
10
20
30
40
50
60
70
80
0.5
1
1.5
2
2.5
Age (years)
Frequency density
The histogram gives information about the ages of the members of a swimming club.
(a)
Estimate the number of members aged between
20
20
20
and
30
30
30
.
(b)
Explain why your answer to part (a) is only an estimate.
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Level 3
3 marks
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Mark as done
10
20
30
40
50
60
0.5
1
1.5
2
2.5
3
Distance (km)
Frequency density
The histogram gives information about the distances, in kilometres, that the employees of a company travel to work.
Estimate the number of employees who travel between
15
15
15
km and
30
30
30
km to work.
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Level 3
3 marks
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Mark as done
The histogram shows information about the heights,
h
h
h
cm, of some plants.
10
20
30
40
50
60
0.5
1
1.5
2
2.5
3
Height, h (cm)
Frequency density
(a)
Work out the number of plants with a height between
10
10
10
cm and
20
20
20
cm. (2 marks)
(b)
There are
6
6
6
plants with a height greater than
30
30
30
cm.
Work out an estimate for the number of plants with a height greater than
25
25
25
cm. (2 marks)
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Level 3
4 marks
Start
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