Each of the twelve numbers in the table below is written on a piece of paper - Junior Cycle Mathematics - Question 2 - 2017
Question 2
Each of the twelve numbers in the table below is written on a piece of paper. Each student in a class picks a sample of 5 different numbers from these.
2 7 11 ... show full transcript
Worked Solution & Example Answer:Each of the twelve numbers in the table below is written on a piece of paper - Junior Cycle Mathematics - Question 2 - 2017
Step 1
Explain why Ruairi is correct.
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Answer
Ruairi's sample contains the numbers 3, 7, 13, 29, and 37. To have a mode, a number in the sample must appear more than once. Since all selected numbers are unique, there is no mode in this sample. Therefore, Ruairi is correct in stating that his sample does not have a single mode.
Step 2
Write down a sample of 5 different numbers from the table that has a median of 19.
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Answer
Sample = 3, 17, 19, 23, 31.
To find the median, we first arrange the numbers in ascending order: 3, 17, 19, 23, 31. The median is the middle number in this ordered list, which in this case is 19.
Step 3
Write down a sample of 5 different numbers from the table that has the biggest possible range. Find the range of this sample.
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Answer
Sample = 2, 7, 13, 31, 37.
To find the range, we subtract the smallest number in the sample from the largest number:
Range = 37 - 2 = 35.
Step 4
Write down the sample of 5 different numbers from the table that has the smallest possible mean. Find the mean of this sample.
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