Filip measures the height of seven of the students in his class - Junior Cycle Mathematics - Question 7 - 2019
Question 7
Filip measures the height of seven of the students in his class. Their heights, in cm, are:
166 168 168 169 172 173 177
(a) Work out the range of the data, in cm.
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Worked Solution & Example Answer:Filip measures the height of seven of the students in his class - Junior Cycle Mathematics - Question 7 - 2019
Step 1
Work out the range of the data, in cm.
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Answer
To find the range of the data, we subtract the smallest value from the largest value. The smallest height is 166 cm and the largest is 177 cm. Therefore:
extRange=177−166=11extcm
Step 2
Write down the mode of the data, in cm.
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Answer
The mode is the value that occurs most frequently in a data set. In this case, the height 168 cm appears twice, while all other heights appear only once. Thus, the mode is:
168 cm
Step 3
Write down the median of the data, in cm.
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Answer
To find the median, we first arrange the heights in ascending order:
166, 168, 168, 169, 172, 173, 177.
Since there are 7 values (an odd number), the median is the middle value. Therefore, the median height is:
169 cm
Step 4
Work out the mean of the data. Give your answer in cm, correct to one decimal place.
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Answer
To calculate the mean, we sum all the heights and divide by the number of students:
