These are the heights, in metres, of the players in a netball team - OCR - GCSE Maths - Question 4 - 2018 - Paper 2
Question 4
These are the heights, in metres, of the players in a netball team.
1.30 1.13 1.20 1.22 1.24 1.15
(a) (i) Find the median height of the 7 players.
(ii) Work out t... show full transcript
Worked Solution & Example Answer:These are the heights, in metres, of the players in a netball team - OCR - GCSE Maths - Question 4 - 2018 - Paper 2
Step 1
Find the median height of the 7 players.
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Answer
To find the median, we first need to list the heights in ascending order:
1.13, 1.15, 1.20, 1.22, 1.24, 1.30
Since there are 7 heights, the median will be the value at position 4 (the middle value).
Thus, the median height is:
Median = 1.22 m
Step 2
Work out the range of the heights of the 7 players.
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Answer
The range is calculated as the difference between the maximum and minimum values in the data set.
Here, the maximum height is 1.30 m and the minimum height is 1.13 m. Thus:
Range = Maximum - Minimum = 1.30 m - 1.13 m = 0.17 m (or 17 cm)
Step 3
Calculate the mean height of the 7 players.
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Answer
To find the mean height, we can use the formula:
Mean=Number of playersSum of heights
Given that the sum of the heights is 8.47 m and there are 7 players:
Mean=78.47m≈1.21m
Thus, the mean height of the players is approximately 1.21 m.
