Below are summary statistics for the sizes (in acres) of some local vineyards. Using the summary statistics, complete parts (a) through (c) below.

Variable N Mean StDev Minimum Q1 Median Q3 Maximum

Acres 36 48.50 47.42 6 17.97 33.00 57.86 250

From the summary statistics, would you describe this distribution as symmetric or skewed? Explain. Choose the correct answer below.

(A This distribution is symmetric because the mean and median are reasonably close to one another and the quartiles are approximately the same distance from the mean.

(B) This distribution is skewed because the mean and median are not reasonably close to one another.

(C) This distribution is symmetric because the mean and median are reasonably close to one another and the extreme values are approximately the same distance from the median.

Question

Mathematics

Guest

16 July, 23:41

Below are summary statistics for the sizes (in acres) of some local vineyards. Using the summary statistics, complete parts (a) through (c) below.

Variable N Mean StDev Minimum Q1 Median Q3 Maximum

Acres 36 48.50 47.42 6 17.97 33.00 57.86 250

From the summary statistics, would you describe this distribution as symmetric or skewed? Explain. Choose the correct answer below.

(A This distribution is symmetric because the mean and median are reasonably close to one another and the quartiles are approximately the same distance from the mean.

(B) This distribution is skewed because the mean and median are not reasonably close to one another.

(C) This distribution is symmetric because the mean and median are reasonably close to one another and the extreme values are approximately the same distance from the median.

+2

Answers (1)

Know the Answer?

Terry Houston · Answer 1

option B

Step-by-step explanation:

The symmetric distribution have close or approximate values of median and mean. In the given scenario mean is 48.5 and median is 33. We can see that the both values significantly differs. Also, given mean is greater than median (48.5>33). Thus, the distribution is positively skewed and not symmetrical.

Hence, the distribution is skewed because mean and median significantly differ from each other.