# Hinchingbrooke Maths Department GCSE MATHS HIGHER YEAR 10 - AVERAGES

1.20 students scored goals for the school hockey team last month.
The table gives information about the number of goals they scored.

Goals scored / Number of students
1 / 9
2 / 3
3 / 5
4 / 3

a) Work out the mean number of goals scored.

b) Work out the median number of goals scored.

(Total 4 marks)

2.Charles found out the length of reign of each of 41 kings.
He used the information to complete the frequency table.

Length of reign
(L years) / Number of kings
0 < L 10 / 14
10 < L 20 / 13
20 < L 30 / 8
30 < L 40 / 4
40 < L 50 / 2

(a)Write down the class interval that contains the median.

(2)

(b)Calculate an estimate for the mean length of reign.

(4)

(Total 6 marks)

3.(a) I am thinking of three numbers. The median is 18, the mean is 14 and the

range is 22. What are my three numbers?

(2)

(b) I am thinking of three numbers. The median is 6.4, the mean is 6.1 and the

range is 6.3. What are my three numbers?

(2)

(Total 2 marks)

4.A youth club has 60 members.

40 of the members are boys.
20 of the members are girls.

The mean number of videos watched last week by all 60 members was 2.8
The mean number of videos watched last week by the 40 boys was 3.3

(a)Calculate the mean number of videos watched last week by the 20 girls.

(3)

Ibrahim has two lists of numbers.
The mean of the numbers in the first list is p.
The mean of the numbers in the second list is q.

Ibrahim combines the two lists into one new list of numbers.

Ibrahim says ‘The mean of the new list of numbers is equal to .’

One of two conditions must be satisfied for Ibrahim to be correct.

(b)Write down each of these conditions.

(2)

(Total 5 marks)

GCSE MATHS HIGHER YEAR 10 - AVERAGES

1.20 students scored goals for the school hockey team last month.
The table gives information about the number of goals they scored.

Goals scored / Number of students
1 / 9
2 / 3
3 / 5
4 / 3

a) Work out the mean number of goals scored.

b) Work out the median number of goals scored.

(Total 4 marks)

2.Charles found out the length of reign of each of 41 kings.
He used the information to complete the frequency table.

Length of reign
(L years) / Number of kings
0 < L 10 / 14
10 < L 20 / 13
20 < L 30 / 8
30 < L 40 / 4
40 < L 50 / 2

(a)Write down the class interval that contains the median.

(2)

(b)Calculate an estimate for the mean length of reign.

(4)

(Total 6 marks)

3.(a) I am thinking of three numbers. The median is 18, the mean is 14 and the

range is 22. What are my three numbers?

(2)

(b) I am thinking of three numbers. The median is 6.4, the mean is 6.1 and the

range is 6.3. What are my three numbers?

(2)

(Total 2 marks)

4.A youth club has 60 members.

40 of the members are boys.
20 of the members are girls.

The mean number of videos watched last week by all 60 members was 2.8
The mean number of videos watched last week by the 40 boys was 3.3

(a)Calculate the mean number of videos watched last week by the 20 girls.

(3)

Ibrahim has two lists of numbers.
The mean of the numbers in the first list is p.
The mean of the numbers in the second list is q.

Ibrahim combines the two lists into one new list of numbers.

Ibrahim says ‘The mean of the new list of numbers is equal to .’

One of two conditions must be satisfied for Ibrahim to be correct.

(b)Write down each of these conditions.

(2)

(Total 5 marks)

GCSE MATHS HIGHER YEAR 10 - AVERAGES

1.20 students scored goals for the school hockey team last month.
The table gives information about the number of goals they scored.

Goals scored / Number of students
1 / 9
2 / 3
3 / 5
4 / 3

a) Work out the mean number of goals scored.

b) Work out the median number of goals scored.

(Total 4 marks)

2.Charles found out the length of reign of each of 41 kings.
He used the information to complete the frequency table.

Length of reign
(L years) / Number of kings
0 < L 10 / 14
10 < L 20 / 13
20 < L 30 / 8
30 < L 40 / 4
40 < L 50 / 2

(a)Write down the class interval that contains the median.

(2)

(b)Calculate an estimate for the mean length of reign.

(4)

(Total 6 marks)

3.(a) I am thinking of three numbers. The median is 18, the mean is 14 and the

range is 22. What are my three numbers?

(2)

(b) I am thinking of three numbers. The median is 6.4, the mean is 6.1 and the

range is 6.3. What are my three numbers?

(2)

(Total 2 marks)

4.A youth club has 60 members.

40 of the members are boys.
20 of the members are girls.

The mean number of videos watched last week by all 60 members was 2.8
The mean number of videos watched last week by the 40 boys was 3.3

(a)Calculate the mean number of videos watched last week by the 20 girls.

(3)

Ibrahim has two lists of numbers.
The mean of the numbers in the first list is p.
The mean of the numbers in the second list is q.

Ibrahim combines the two lists into one new list of numbers.

Ibrahim says ‘The mean of the new list of numbers is equal to .’

One of two conditions must be satisfied for Ibrahim to be correct.

(b)Write down each of these conditions.

(2)

(Total 5 marks)