Question

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
Mean = 7
SD = 2.9
Gym B
Mean = 8
SD = 4.2
Gym C
Mean = 6
SD = 3.2
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 1

Explanation:

Low value of Standard deviation represent the most of the numbers are very close the mean value.

According to the given table GYM A Mean is 7 and SD is 2.9:;

It means gym A is most consistent in the number of hours they exercised last week.

Rest SD value is large as compare to 2.9<3.2<4.2....

Answer 2

Explanation:

Given that Jacob surveyed members of three different gyms and recorded the number of hours they exercised last week.

Table is as follows:

Gym Mean Std dev

A 7 2.9

B 8 4.2

C 6 3.2

We know that std deviation is a measure of variation of the data set from the mean.

Hence if std deviation is the least the data would be more consistent.

Here A has the least sd

Hence 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 one which has lowest std deviation