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Asked Sep 13, 2019

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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.

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*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...

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