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41 questions at your level
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Level 1
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Level 5
Mean, median, mode & range
15 questions
Lesson
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Mark as done
(a)
The mean of eight numbers is
21
21
21
.
One of the eight numbers is removed. The mean of the remaining seven numbers is
22
22
22
.
Work out the number that was removed.
(b)
The mean of five numbers is
12
12
12
.
A sixth number is then included, and the mean of all six numbers is
13
13
13
.
Work out the sixth number.
●●●●●
Level 5
6 marks
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Mark as done
Thirty students took a test. The mean mark for all thirty students was
62
62
62
.
The twelve girls in the group had a mean mark of
65
65
65
.
(a)
Work out the mean mark of the eighteen boys.
(b)
Two more students then take the same test. The mean mark of all thirty-two students is
62.5
62.5
62.5
.
Work out the mean mark of the two extra students.
●●●●●
Level 5
7 marks
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Averages from a frequency table
12 questions
Lesson
Not started
Mark as done
The table gives information about the number of people living in each house on one side of a street.
Number of people,
x
x
x
Frequency,
f
f
f
1
2
2
y
y
y
3
6
4
2
The mean number of people per house is
2.4
2.4
2.4
.
(a)
Work out the value of
y
y
y
.
(b)
Work out the median number of people per house.
●●●●●
Level 5
6 marks
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Estimating averages from grouped data
15 questions
Lesson
Not started
Mark as done
The table shows information about the time,
t
t
t
minutes, that each member of a gym class spent on a rowing machine. The frequency of one class is unknown.
Time,
t
t
t
(minutes)
Frequency
0
<
t
≤
10
0 < t \le 10
0
<
t
≤
10
6
10
<
t
≤
20
10 < t \le 20
10
<
t
≤
20
x
x
x
20
<
t
≤
30
20 < t \le 30
20
<
t
≤
30
10
30
<
t
≤
40
30 < t \le 40
30
<
t
≤
40
4
An estimate for the mean time is 18 minutes.
(a)
Work out the value of
x
x
x
.
(b)
Find the class interval that contains the median.
●●●●●
Level 5
6 marks
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Mark as done
Two farms record the mass,
m
m
m
grams, of every egg they collect one morning.
Farm A collected 100 eggs.
Mass,
m
m
m
(grams)
Frequency
40
<
m
≤
50
40 < m \le 50
40
<
m
≤
50
12
50
<
m
≤
60
50 < m \le 60
50
<
m
≤
60
38
60
<
m
≤
70
60 < m \le 70
60
<
m
≤
70
34
70
<
m
≤
80
70 < m \le 80
70
<
m
≤
80
16
Farm B collected 80 eggs.
Mass,
m
m
m
(grams)
Frequency
40
<
m
≤
50
40 < m \le 50
40
<
m
≤
50
9
50
<
m
≤
60
50 < m \le 60
50
<
m
≤
60
21
60
<
m
≤
70
60 < m \le 70
60
<
m
≤
70
32
70
<
m
≤
80
70 < m \le 80
70
<
m
≤
80
18
(a)
Work out an estimate for the mean mass of an egg from Farm A.
(b)
Work out an estimate for the mean mass of all 180 eggs from the two farms together. Give your answer correct to 1 decimal place.
(c)
A worker at Farm B says: "Our modal class is
60
<
m
≤
70
60 < m \le 70
60
<
m
≤
70
, so most of our eggs weigh 65 g."
Write down
two
things that are wrong with what the worker says.
●●●●●
Level 5
8 marks
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Mark as done
The cumulative frequency diagram shows the battery life, in hours, of 120 mobile phones.
2
4
6
8
10
20
40
60
80
100
120
Battery life (hours)
Cumulative frequency
(a)
Use the diagram to work out the frequency for each of the classes
0
<
t
≤
2
0 < t \le 2
0
<
t
≤
2
,
2
<
t
≤
4
2 < t \le 4
2
<
t
≤
4
,
4
<
t
≤
6
4 < t \le 6
4
<
t
≤
6
,
6
<
t
≤
8
6 < t \le 8
6
<
t
≤
8
and
8
<
t
≤
10
8 < t \le 10
8
<
t
≤
10
.
(b)
Work out an estimate for the mean battery life.
●●●●●
Level 5
5 marks
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