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

Exam code: 4MA1

35 mins8 questions
1a
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.

1b
2 marks

Find the median.

1c
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2 marks

Work out the total number of eggs.

1d
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2 marks

One of these nests is chosen at random.

Find the probability that there are more than 2 eggs in the nest.

2
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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?

3a
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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.

3b
1 mark

Find the median number of goals Pam scored

3c
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3 marks

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

Work out the value of x

4
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3 marks

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

Number of minutes (M)

Frequency

space 0 space less than space M space less-than or slanted equal to thin space space 30

5

space 30 space less than space M space less-than or slanted equal to thin space space 60

6

space 60 space less than space M space less-than or slanted equal to thin space space 90

8

space 90 space less than space M space less-than or slanted equal to thin space space 120

9

space 120 space less than space M space less-than or slanted equal to thin space space 150

2

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

5
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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?

6a
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.

6b
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3 marks

Work out the mean number of rewards.

6c
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2 marks

One of these students is chosen at random.

Find the probability that this student gained more than 2 rewards

7a
1 mark

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

Length of telephone call (m minutes)

Frequency

0 space less than space m space less-than or slanted equal to 5

8

5 space less than space m space less-than or slanted equal to 10

2

10 space less than space m space less-than or slanted equal to 15

6

15 space less than space m space less-than or slanted equal to 20

4

20 space less than space m space less-than or slanted equal to 25

12

25 space less than space m space less-than or slanted equal to 30

18

Write down the modal class.

7b
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3 marks

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

8
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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