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Cumulative frequency & box plots
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Cumulative frequency diagrams
11 questions
Lesson
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40 pupils took a test. The grouped frequency table shows their scores.
Score,
s
s
s
Frequency
0
<
s
≤
10
0 < s \le 10
0
<
s
≤
10
3
10
<
s
≤
20
10 < s \le 20
10
<
s
≤
20
9
20
<
s
≤
30
20 < s \le 30
20
<
s
≤
30
15
30
<
s
≤
40
30 < s \le 40
30
<
s
≤
40
10
40
<
s
≤
50
40 < s \le 50
40
<
s
≤
50
3
(a)
Write down the cumulative frequency for each of the five classes.
(b)
Write down the coordinates of the point that should be plotted for the class
30
<
s
≤
40
30 < s \le 40
30
<
s
≤
40
.
(c)
Explain what the cumulative frequency for the class
20
<
s
≤
30
20 < s \le 30
20
<
s
≤
30
tells you about the pupils' scores.
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Level 2
3 marks
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Quartiles & the interquartile range
14 questions
Lesson
Not started
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Here are the ages, in years, of the
11
11
11
members of a chess club, written in order:
9
,
11
,
12
,
14
,
14
,
15
,
17
,
18
,
20
,
21
,
26
9, \quad 11, \quad 12, \quad 14, \quad 14, \quad 15, \quad 17, \quad 18, \quad 20, \quad 21, \quad 26
9
,
11
,
12
,
14
,
14
,
15
,
17
,
18
,
20
,
21
,
26
(a)
Write down the median age.
(b)
Work out the interquartile range of the ages.
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Level 2
4 marks
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Mark as done
For the times taken by
60
60
60
students to complete a puzzle: the shortest time was
5
5
5
minutes, the lower quartile was
12
12
12
minutes, the median was
20
20
20
minutes, the upper quartile was
26
26
26
minutes and the longest time was
41
41
41
minutes.
(a)
Work out the interquartile range. [1]
(b)
How many of the students took
26
26
26
minutes or longer? [1]
A second class had a median of
24
24
24
minutes and an interquartile range of
10
10
10
minutes.
(c)
Compare the times of the two classes. [1]
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Level 2
3 marks
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Box plots
12 questions
Lesson
Not started
Mark as done
The box plot gives information about the masses, in kilograms, of the dogs at a rescue centre.
5
10
15
20
25
30
35
40
Mass (kg)
(a)
Write down the median mass.
(b)
Work out the range of the masses.
(c)
Work out the interquartile range of the masses.
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Level 2
5 marks
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Mark as done
For the times taken by
60
60
60
students to complete a puzzle: the shortest time was
5
5
5
minutes, the lower quartile was
12
12
12
minutes, the median was
20
20
20
minutes, the upper quartile was
26
26
26
minutes and the longest time was
41
41
41
minutes.
(a)
Work out the interquartile range. [1]
(b)
How many of the students took
26
26
26
minutes or longer? [1]
A second class had a median of
24
24
24
minutes and an interquartile range of
10
10
10
minutes.
(c)
Compare the times of the two classes. [1]
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Level 2
3 marks
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