Ceren Han Billy
Run1
8.3 8.5 8.4
Run2 7.7 8.0 8.0
Run3 7.1 8.5 7.5
Run4 6.6 7.8 9.0
Run5 8.0 8.1 7.5
Run6 6.6 7.5 7.2
Mean Score 7.38 8.07 7.93
Standard deviation 0.73 0.39 0.67
A competition was organised in which three friends took part. The run was divided into 6 parts. Data for each boy and run is put in a tabulated form. Choose the best conclusion based on above data.

Ceren had the smallest mean score. so her performance was the least consistent

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Han had the smallest standard deviation, so his performance was the most consistent

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Ceren had the largest standard deviation, so her performance was the most consistent.

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Billy had the largest range in scores, so his performance was the least consistent.

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Solution

The correct option is A Han had the smallest standard deviation, so his performance was the most consistent
The consistency of a performer can be measured from the standard deviation values. Higher the standard deviation lower is the consistency and lower the standard deviation higher is the consistency. Considering the standard deviation values, we can conclude that Han is the most consistent performer since he has the least standard deviation.

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	Ceren	Han	Billy
Run1	8.3	8.5	8.4
Run2	7.7	8.0	8.0
Run3	7.1	8.5	7.5
Run4	6.6	7.8	9.0
Run5	8.0	8.1	7.5
Run6	6.6	7.5	7.2
Mean Score	7.38	8.07	7.93
Standard deviation	0.73	0.39	0.67