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

Exam code: 4MA1

35 mins8 questions
1a1 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.

1b2 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.

3b1 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?

6a1 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

7a1 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