Question

the evergreen mall held a contest in which groups created sculptures out of canned goods. at the end of the contest, all of the canned goods were donated to local food pantries. of the 16 groups that participated, the mean number of cans used per group was 3,242, with a mean absolute deviation of 752.5 cans. the winning group made a hot - air balloon using 4,118 cans.
what can you conclude from these data and statistics? select all that apply.
the average number of cans used by a group was 3,242.
the winning group used more than the average number of cans.
on average, the number of cans used by each group varied by 16.

Explanation:

Step1: Recall the meaning of mean

The mean number of cans used per group is the average number of cans used by a group. Given that the mean is 3,242, so the average number of cans used by a group was 3,242.

Step2: Compare the winning - group's cans with the mean

The winning group used 4,118 cans and the mean is 3,242. Since 4118>3242, the winning group used more than the average number of cans.

Step3: Analyze the meaning of mean absolute deviation

The mean absolute deviation of 752.5 cans represents the average amount by which the number of cans used by each group varies from the mean. It is not 15.

Answer:

The average number of cans used by a group was 3,242; The winning group used more than the average number of cans.