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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 are shown in the table below:

\begin{tabular}{|c|c|c|}
\hline
Gym A & Gym B & Gym C \\
\hline
Mean [tex]$=7$[/tex] & Mean [tex]$=8$[/tex] & Mean [tex]$=6$[/tex] \\
SD [tex]$=2.9$[/tex] & SD [tex]$=4.2$[/tex] & SD [tex]$=3.2$[/tex] \\
\hline
\end{tabular}

Use 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 \_\_\_\_.



Answer :

GinnyAnswer
To determine the gym whose members show the most consistency in the number of hours they exercised last week, we should look at the standard deviations (SD) provided in the table for each gym. The gym with the lowest standard deviation will indicate the most consistency, as a lower standard deviation means that the data points are closer to the mean, showing less variability in the hours exercised.

From the table:
- Gym A has a standard deviation of 2.9.
- Gym B has a standard deviation of 4.2.
- Gym C has a standard deviation of 3.2.

Comparing these values, Gym A has the lowest standard deviation at 2.9. This means the members of Gym A show the most consistency in the number of hours they exercised last week.

Therefore, the correct completion of the given statement is:

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 lowest.

So, the final statement from the drop-down menus should be:
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 lowest.

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