# 15. Of the data sets below, which does NOT have a symmetric distribution?1, 2, 3, 41, 1, 4, 7Set C: 0, 5, 5, 10Set D: 6, 6, 6, 6Set A:Set B:Set ASet BSet CSet D

Question
1 views

I have struggled with questions related to the one in the image attached. What makes these data distributions such as these symmetrical and non-symmetrical? I have had multiple various questions of this type and I cannot get any of them right when it seems  VERY easy to figure out just by looking at the numbers alone. I even DRAW OUT the graphs to give a better visual but I assume I am just missing or over-thinking some simple concepts.

check_circle

star
star
star
star
star
1 Rating
Step 1

Symmetric distribution:

A distribution is said to be symmetric, when its mean, median, and mode are the same. That is, the length of the curve of the left-hand tail will be a mirror image of the right-hand tail.

Right-skewed distribution:

For a right-skewed distribution, mean > median > mode. Moreover, the data will monotonically increase after attaining the maximum and if the right hand side of the curve is larger than the left hand side, then it is called a right-skewed distribution. This is also called as positively-skewed distribution.

Left-skewed distribution:

For a left-skewed distribution, mean < median < mode. Moreover, the data will monotonically decrease after attaining the maximum and if the left hand side of the curve is larger than the right hand...

### Want to see the full answer?

See Solution

#### Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour.*

See Solution
*Response times may vary by subject and question.
Tagged in