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41 questions at your level
Difficulty
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Level 1
Level 2
Level 3
Level 4
Level 5
Mean, median, mode & range
15 questions
Lesson
Not started
Mark as done
Eleven students each did as many press-ups as they could. Here are their results.
22
15
30
18
15
27
12
15
24
20
19
22 \quad 15 \quad 30 \quad 18 \quad 15 \quad 27 \quad 12 \quad 15 \quad 24 \quad 20 \quad 19
22
15
30
18
15
27
12
15
24
20
19
(a)
Ravi says, "The median is
27
27
27
, because
27
27
27
is the middle number of the list."
Explain what is wrong with Ravi's method.
(b)
Work out the median number of press-ups.
(c)
Work out the mean number of press-ups. Give your answer correct to 1 decimal place.
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Level 3
5 marks
Start
→
Mark as done
In their last seven matches, the numbers of goals scored by two teams were:
Ashby Town:
1
,
2
,
2
,
3
,
2
,
4
,
0
1, \; 2, \; 2, \; 3, \; 2, \; 4, \; 0
1
,
2
,
2
,
3
,
2
,
4
,
0
Byrne United:
0
,
5
,
1
,
6
,
0
,
2
,
0
0, \; 5, \; 1, \; 6, \; 0, \; 2, \; 0
0
,
5
,
1
,
6
,
0
,
2
,
0
(a)
Show that the two teams have the same mean number of goals per match.
(b)
Work out the range for each team.
(c)
Use your answers to compare the goal scoring of the two teams.
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Level 3
6 marks
Start
→
Mark as done
Here are two lists of numbers.
List A
18
35
27
40
25
\qquad 18 \qquad 35 \qquad 27 \qquad 40 \qquad 25
18
35
27
40
25
List B
52
x
61
38
\qquad 52 \qquad x \qquad 61 \qquad 38
52
x
61
38
mean of list A : mean of list B
=
2
:
3
= 2 : 3
=
2
:
3
Work out the value of
x
x
x
.
(5 marks)
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Level 3
5 marks
Start
→
Averages from a frequency table
12 questions
Lesson
Not started
Mark as done
The table shows the number of people travelling in each of 40 cars that passed a checkpoint.
Number of people,
x
x
x
Frequency,
f
f
f
1
14
2
12
3
8
4
4
5
2
Work out the mean number of people per car.
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Level 3
3 marks
Start
→
Mark as done
The table shows the number of books read last month by each of 31 students.
Number of books,
x
x
x
Frequency,
f
f
f
0
4
1
11
2
8
3
5
4
3
(a)
Write down the modal number of books.
(b)
Work out the median number of books.
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Level 3
3 marks
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Mark as done
The table shows the number of times each of 50 pupils was late during one term.
Number of times late,
x
x
x
Frequency,
f
f
f
0
21
1
14
2
9
3
4
4
2
Ali says: "The mean is
2
2
2
, because
(
0
+
1
+
2
+
3
+
4
)
÷
5
=
2
(0 + 1 + 2 + 3 + 4) \div 5 = 2
(
0
+
1
+
2
+
3
+
4
)
÷
5
=
2
."
(a)
Explain what is wrong with Ali's method.
(b)
Work out the correct mean number of times a pupil was late.
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Level 3
4 marks
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Mark as done
The table shows the number of pets owned by each of
20
20
20
students.
Number of pets
0
1
2
3
Frequency
5
8
4
3
(a)
Work out the mean number of pets. (3 marks)
(b)
Write down the median number of pets. (1 mark)
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Level 3
4 marks
Start
→
Mark as done
The table shows information about the time,
t
t
t
minutes, that each of
20
20
20
students spent on homework one evening.
Time,
t
t
t
(minutes)
Frequency
0
<
t
≤
10
0 < t \le 10
0
<
t
≤
10
4
10
<
t
≤
20
10 < t \le 20
10
<
t
≤
20
6
20
<
t
≤
30
20 < t \le 30
20
<
t
≤
30
8
30
<
t
≤
40
30 < t \le 40
30
<
t
≤
40
2
(a)
Work out an estimate for the mean time spent on homework. (3 marks)
(b)
Write down the modal class. (1 mark)
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Level 3
4 marks
Start
→
Estimating averages from grouped data
15 questions
Lesson
Not started
Mark as done
The table shows information about the lengths,
x
x
x
cm, of 50 leaves collected from a tree.
Length,
x
x
x
(cm)
Frequency
0
<
x
≤
10
0 < x \le 10
0
<
x
≤
10
8
10
<
x
≤
20
10 < x \le 20
10
<
x
≤
20
14
20
<
x
≤
30
20 < x \le 30
20
<
x
≤
30
18
30
<
x
≤
40
30 < x \le 40
30
<
x
≤
40
10
Work out an estimate for the mean length of a leaf.
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Level 3
4 marks
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Mark as done
30 shoppers each bought something from a market stall. The table shows information about the amount, £
a
a
a
, each shopper spent.
Amount spent, £
a
a
a
Frequency
0
<
a
≤
5
0 < a \le 5
0
<
a
≤
5
7
5
<
a
≤
10
5 < a \le 10
5
<
a
≤
10
12
10
<
a
≤
15
10 < a \le 15
10
<
a
≤
15
8
15
<
a
≤
20
15 < a \le 20
15
<
a
≤
20
3
(a)
Write down the modal class.
(b)
Work out an estimate for the mean amount spent by a shopper. Give your answer in pounds, correct to the nearest penny.
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Level 3
5 marks
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→
Mark as done
A post office weighed 60 parcels. The table shows information about the weight,
w
w
w
grams, of each parcel.
Weight,
w
w
w
(grams)
Frequency
0
<
w
≤
50
0 < w \le 50
0
<
w
≤
50
22
50
<
w
≤
100
50 < w \le 100
50
<
w
≤
100
19
100
<
w
≤
150
100 < w \le 150
100
<
w
≤
150
11
150
<
w
≤
200
150 < w \le 200
150
<
w
≤
200
8
(a)
Work out an estimate for the mean weight of a parcel. Give your answer correct to 1 decimal place.
(b)
Explain why your answer to part
(a)
can only be an estimate.
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Level 3
5 marks
Start
→
Mark as done
The table shows the times,
t
t
t
minutes, that
30
30
30
people waited at a clinic.
Time,
t
t
t
(minutes)
Frequency
0
<
t
≤
20
0 < t \le 20
0
<
t
≤
20
6
20
<
t
≤
40
20 < t \le 40
20
<
t
≤
40
11
40
<
t
≤
60
40 < t \le 60
40
<
t
≤
60
9
60
<
t
≤
80
60 < t \le 80
60
<
t
≤
80
4
(a)
Work out an estimate for the mean waiting time. Give your answer correct to 1 decimal place. (3 marks)
(b)
Write down the modal class. (1 mark)
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Level 3
4 marks
Start
→
Mark as done
The table shows information about the time,
t
t
t
minutes, that each of
20
20
20
students spent on homework one evening.
Time,
t
t
t
(minutes)
Frequency
0
<
t
≤
10
0 < t \le 10
0
<
t
≤
10
4
10
<
t
≤
20
10 < t \le 20
10
<
t
≤
20
6
20
<
t
≤
30
20 < t \le 30
20
<
t
≤
30
8
30
<
t
≤
40
30 < t \le 40
30
<
t
≤
40
2
(a)
Work out an estimate for the mean time spent on homework. (3 marks)
(b)
Write down the modal class. (1 mark)
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Level 3
4 marks
Start
→