Select the correct answer from each drop-down menu.Jacob surveyed members of three different gyms and recorded the number of hours they exercised last week. The mean and standard deviation (SD), of the data he gathered, is shown in the table.Gym A Gym B Gym CMean = 7SD = 2.9 Mean = 8SD = 4.2 Mean = 6SD = 3.2Use the information in the table to complete the following statement.The members of gym show the most consistency in the number of hours they exercised last week, because the of this data set is the .
Question
Select the correct answer from each drop-down menu.Jacob surveyed members of three different gyms and recorded the number of hours they exercised last week. The mean and standard deviation (SD), of the data he gathered, is shown in the table.Gym A Gym B Gym CMean = 7SD = 2.9 Mean = 8SD = 4.2 Mean = 6SD = 3.2Use the information in the table to complete the following statement.The members of gym show the most consistency in the number of hours they exercised last week, because the of this data set is the .
Solution
The members of Gym A show the most consistency in the number of hours they exercised last week, because the standard deviation of this data set is the smallest.
Explanation: Standard deviation is a measure of how spread out numbers are from the mean (average). A low standard deviation means that most of the numbers are close to the average, indicating consistency. In this case, Gym A has the smallest standard deviation (2.9), which means its members' exercise hours are the most consistent.
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