Averages, Ranges & Data (Edexcel IGCSE Maths A (Modular): Foundation Unit 2): Exam Questions

Exam code: 4XMAF/4XMAH

31 mins8 questions
1
Sme Calculator
4 marks

Team A and Team B take part in a quiz league.

After 11 rounds, Team A has a mean score per round of 17
After 9 rounds, Team B has a mean score per round of 18

Both teams take part in a further round.
After this round, both teams have a mean score per round of 18.5

In the further round, Team A scored more points than Team B.

How many more?

2a
1 mark

The table shows information about the number of eggs in each of 40 birds’ nests.

Number of eggs

Frequency

0

5

1

14

2

11

3

6

4

3

5

1

Write down the mode.

2b
2 marks

Find the median.

2c
Sme Calculator
2 marks

Work out the total number of eggs.

3
Sme Calculator
3 marks

The mean number of goals scored by a hockey team in 8 matches is 6
The team plays 2 more matches and scores k goals in each match.
The mean number of goals scored by the hockey team in the 10 matches is 7

Work out the value of k

4
Sme Calculator
3 marks

Ian plays 7 games of cricket.
His mean score per game for these 7 games is 42 runs.

Ian is going to play one more game of cricket.
He wants his mean score per game for the 8 games to be exactly 50 runs.

How many runs must he score in his 8th game?

5a
Sme Calculator
1 mark

Pam plays netball for her school team.

Here are the numbers of goals she scored in the last 8 games.
The numbers of goals are written in order of size.

1 1 2 2 3 6 x 14

Find the range of the number of goals Pam scored.

5b
1 mark

Find the median number of goals Pam scored

5c
Sme Calculator
3 marks

The mean number of goals Pam scored in the 8 games is 5

Work out the value of x

6
Sme Calculator
3 marks

The table gives information about the number of minutes that Abby spent walking each day in September.

Number of minutes (M)

Frequency

 0 < M  30

5

 30 < M  60

6

 60 < M  90

8

 90 < M  120

9

 120 < M  150

2

Work out an estimate for the total number of minutes that Abby spent walking in September.

7a
1 mark

The table gives information about the number of rewards gained by each of 50 students last term.

Number of rewards

Frequency

0

3

1

9

2

15

3

18

4

4

5

1

Write down the mode of the number of rewards.

7b
Sme Calculator
3 marks

Work out the mean number of rewards.

8a
1 mark

The table shows information about the lengths, in minutes, of 50 telephone calls.

Length of telephone call (m minutes)

Frequency

0 < m 5

8

5 < m 10

2

10 < m 15

6

15 < m 20

4

20 < m 25

12

25 < m 30

18

Write down the modal class.

8b
Sme Calculator
3 marks

Work out an estimate for the total length, in minutes, of these telephone calls.