Question

The distribution of exam scores (ranging from 0 - 100%) where the mean score is 75%, the standard deviation is 12%, and the median is 78% is most likely _________.

Answer 1

Answer:

Right skewed

Step-by-step explanation:

A skewed right distribution by definition is "one in which the tail is on the right side".Or on simple words when we have the following property:

$Mode<Median<Mean$

Or equivalently:

$Mean> Median>Mode$

A skewed left distribution by definition is "one in which the tail is on the left side". Or on simple words when we have the following property:

$Mode>Median>Mean$

Or equivalently:

$Mean< Median<Mode$

And for this case we can see that $Mean =75> Median =78$

So on this case the best description for this distribution is right skewed.

Answer 2

Median > Mean, therefore, the data distribution is most likely a left-skewed distribution.

What is a Left-skewed (Negatively Skewed) Distribution?

A positively-skewed distribution is one in which most of the values are clustered around the right tail of the distribution, while the left tail will have fewer values, which makes it longer (see mage attached below).

In a left-skewed distribution, the median value is always greater than the mean value of the distribution.

Given the following:

• Median = 78%
• Mean = 75%

Thus, Median > Mean, therefore, the data distribution is most likely a left-skewed distribution.

Learn more about left-skewed distribution on:

https://brainly.com/question/13422471