The ages of two exercise groups at a local fitness center are listed below group a: 37, ,32, 41, 42, 36, 44, 45 group b: 26, 40, 38, 36, 42, 40, 40, 36 which statement about the data is true a. the mean age is the same for both groups b. the range of ages is greater in group a than in group b c. the mode of the ages for both groups is 36 d. the median age is the same for both groups

(B) The range of ages is greater in group A than in group B.

Step-by-step explanation:

A. The mean of the group A is:

                                                  =

                                                  =

   The mean of the group B is:

                                                =

                                                =

Hence, the mean age is not same for both the groups.

B. The range of group A is: 45-32=13

   The range of group B is: 42-26=12

Hence, the range of the ages is greater in group A than in group B.

C. The mode is the number which occurs frequently in the given data. Therefore, the mode pf the ages in group A is not there because no number is occurring frequently in group A.

The mode of the group B is 40 because 40 is occurring frequently in group B.

D. The median is the middle number in data when listed in ascending order.  Therefore, arranging the data of group A :32,36,37,41,42,44,45, the median is 41.

Group B: 26,36,36,38,40,40,40,42, the median is =.

Hence, the median age is not same for both groups.

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