Question

The data to represent average test scores for a class of 16 students includes an outlier value of 91. If the outlier is included, then the mean is 80. Which statement is always true about the new data when the outlier is removed?
The median would decrease.
The median would increase.
The mean would decrease.
The mean would increase.

Answer 1

The median would decrease

Answer 2

Answer:

The Mean would decrease

Step-by-step explanation:

Pay attention to the phrase is always true

We know an outlier will always affect the mean, not always the Median, so it eliminates Median answers.

If the mean is 80, we can infer the cluster would be below 91 be cause the mean is lower than the outlier.

So if we take out an outlier that is significantly greater, That means the mean would decrease becuase the significantly greater outlier raises the mean.

Therefore the answer is The Mean would decrease