igureMaths
Log in
Start free
←
Averages & range
Get dealt questions instead
→
Browse Averages & range
41 questions at your level
Difficulty
All
Level 1
Level 2
Level 3
Level 4
Level 5
Mean, median, mode & range
15 questions
Lesson
Not started
Mark as done
Here are the numbers of minutes a school bus was late on each of nine mornings.
0
4
2
1
6
2
1
1
1
0 \quad 4 \quad 2 \quad 1 \quad 6 \quad 2 \quad 1 \quad 1 \quad 1
0
4
2
1
6
2
1
1
1
(a)
Write down the mode.
(b)
Work out the median.
(c)
Work out the range.
(d)
Work out the mean.
●●
●●●
Level 2
6 marks
Start
→
Mark as done
Here are five numbers.
4
7
9
12
x
4 \qquad 7 \qquad 9 \qquad 12 \qquad x
4
7
9
12
x
The mean of the five numbers is
9
9
9
(a)
Work out the value of
x
x
x
. (2 marks)
(b)
Work out the range of the five numbers. (1 mark)
●●
●●●
Level 2
3 marks
Start
→
Mark as done
The mean of five numbers is
8
8
8
One of the numbers is removed. The mean of the remaining four numbers is
7.5
7.5
7.5
Work out the number that was removed. (3 marks)
●●
●●●
Level 2
3 marks
Start
→
Averages from a frequency table
12 questions
Lesson
Not started
Mark as done
A hockey team played 20 matches. The table shows the number of goals the team scored in each match.
Number of goals,
x
x
x
Frequency,
f
f
f
0
3
1
7
2
6
3
3
4
1
(a)
Write down the modal number of goals.
(b)
Work out the range of the number of goals.
(c)
Work out the total number of goals the team scored in the 20 matches.
●●
●●●
Level 2
4 marks
Start
→
Mark as done
The table shows the number of pets owned by
20
20
20
students.
Pets
0
0
0
1
1
1
2
2
2
3
3
3
Frequency
6
6
6
9
9
9
4
4
4
1
1
1
Work out the total number of pets owned.
●●
●●●
Level 2
2 marks
Start
→
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 of 40 customers waited to be served in a post office.
Time,
t
t
t
(minutes)
Frequency
0
<
t
≤
2
0 < t \le 2
0
<
t
≤
2
15
2
<
t
≤
4
2 < t \le 4
2
<
t
≤
4
9
4
<
t
≤
6
4 < t \le 6
4
<
t
≤
6
10
6
<
t
≤
8
6 < t \le 8
6
<
t
≤
8
6
(a)
Write down the modal class.
(b)
Find the class interval that contains the median.
●●
●●●
Level 2
3 marks
Start
→
Mark as done
The table shows the ages of
30
30
30
members of a running club.
Age,
a
a
a
(years)
Frequency
10
<
a
≤
20
10 < a \le 20
10
<
a
≤
20
4
20
<
a
≤
30
20 < a \le 30
20
<
a
≤
30
9
30
<
a
≤
40
30 < a \le 40
30
<
a
≤
40
12
40
<
a
≤
50
40 < a \le 50
40
<
a
≤
50
5
(a)
Calculate an estimate of the mean age. [3]
(b)
Explain why your answer to part (a) is only an estimate. [1]
●●
●●●
Level 2
4 marks
Start
→
Mark as done
The table shows information about the masses of
50
50
50
tomatoes.
Mass (
m
m
m
grams)
Frequency
40
<
m
≤
50
40 < m \le 50
40
<
m
≤
50
6
6
6
50
<
m
≤
60
50 < m \le 60
50
<
m
≤
60
11
11
11
60
<
m
≤
70
60 < m \le 70
60
<
m
≤
70
17
17
17
70
<
m
≤
80
70 < m \le 80
70
<
m
≤
80
10
10
10
80
<
m
≤
90
80 < m \le 90
80
<
m
≤
90
6
6
6
Draw a frequency polygon for this information.
40
50
60
70
80
90
5
10
15
20
Mass (m grams)
Frequency
(2 marks)
●●
●●●
Level 2
2 marks
Start
→