select all the correct answers. biologists studying wildlife in the state parks want to estimate the average…

select all the correct answers. biologists studying wildlife in the state parks want to estimate the average weight of chipmunks. they measured the weights of 5 chipmunks from each of 10 parks. the mean of the data was 91 grams, and the median was 87 grams. which predictions match the data? about one - half of the chipmunks weigh more than 91 grams. the average weight of the chipmunks is 87 grams. about one - half of the chipmunks weigh more than 87 grams. the average weight of the chipmunks is 91 grams.

select all the correct answers. biologists studying wildlife in the state parks want to estimate the average weight of chipmunks. they measured the weights of 5 chipmunks from each of 10 parks. the mean of the data was 91 grams, and the median was 87 grams. which predictions match the data? about one - half of the chipmunks weigh more than 91 grams. the average weight of the chipmunks is 87 grams. about one - half of the chipmunks weigh more than 87 grams. the average weight of the chipmunks is 91 grams.

Answer

Answer:

C. About one - half of the chipmunks weigh more than 87 grams. D. The average weight of the chipmunks is 91 grams.

Explanation:

Step1: Recall the definitions of mean and median

The mean is the average of a set of data. If the mean of the data is 91 grams, then by definition, the average weight of the chipmunks is 91 grams. So, option D is correct. The median is the middle value when the data is arranged in ascending or descending order. By the definition of the median, about half of the data values are less than or equal to the median and about half of the data values are greater than or equal to the median. Since the median is 87 grams, about one - half of the chipmunks weigh more than 87 grams. So, option C is correct.

Step2: Analyze incorrect options

Option A: Since the mean is 91 grams, we cannot say that about one - half of the chipmunks weigh more than 91 grams. The mean is affected by all data points (including outliers), and the relationship between the number of data points above the mean and below the mean is not necessarily a 50 - 50 split. Option B: The median is 87 grams, but the mean (average) is 91 grams. The median and the mean are two different measures of central tendency, and the median is not the average in this case.