John measures the heights of eight students in his class - Junior Cycle Mathematics - Question 1 - 2019
Question 1
John measures the heights of eight students in his class. Their heights, in cm, are:
141 165 168 169 170 172
(a) Work out the range of the data, in cm.
(b) Write ... show full transcript
Worked Solution & Example Answer:John measures the heights of eight students in his class - Junior Cycle Mathematics - Question 1 - 2019
Step 1
Work out the range of the data, in cm.
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Answer
To calculate the range of the data, you subtract the smallest value from the largest value. Here, the largest height is 172 cm, and the smallest height is 141 cm.
Thus, the range is:
extRange=172−141=31extcm
Step 2
Write down which of these heights is an outlier. Give a reason for your answer.
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Answer
Answer: 141
Reason: The height of 141 cm is considered an outlier because it is significantly lower than the rest of the data, which lies between 165 cm and 172 cm.
Step 3
Work out the mean of the data. Give your answer in cm.
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Answer
To find the mean, you add all the heights together and then divide by the number of students:
The mean height of the teachers is greater than 175 cm
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Answer
Reason: If the median height of teachers is greater than 175 cm, at least half of the teachers must have a height that is greater than 175 cm. Thus, the mean height could be influenced by these heights but it could also be less than 175 cm due to outliers.
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