Given the box plot, will the mean or the median provide a better description of the center?

box plot with min at 10.5, Q1 at 11.5, median at 12.5, Q3 at 13.5, max at 15

The mean, because the data distribution is symmetrical

The mean, because the data distribution is skewed to the left

The median, because the data distribution is skewed to the left

The median, because the data distribution is skewed to the right

Question

Mathematics

Ramon

18 August, 22:41

Given the box plot, will the mean or the median provide a better description of the center?

box plot with min at 10.5, Q1 at 11.5, median at 12.5, Q3 at 13.5, max at 15

The mean, because the data distribution is symmetrical

The mean, because the data distribution is skewed to the left

The median, because the data distribution is skewed to the left

The median, because the data distribution is skewed to the right

+5

Answers (2)

Know the Answer?

Viviana Lyons · Answer 1

Answer: The answer is A the other options are wrong I took the rest

Norton · Answer 2

The median, because the data distribution is skewed to the right

Step-by-step explanation:

Min = 10.5

Q1 = 11.5

Median = 12.5

Q3 = 13.5

Maximum = 15

The data is skewed towards the right because more values towards the right side as compared to the left side.

For data to be symmetrical, it has same shape on both sides of the median, which in our case is not possible.

So, for skewed data we always prefer median because it is less affected by the outliers and if mean is chosen, the value of mean is biased towards the side that has larger values while median does not get affected by it. So, we choose median.

our correct option will be:

The median, because the data distribution is skewed to the right