Roger claims that the two statistics most likely to change greatly when an outlier is added to a small data set are the mean and the median. is roger’s claim correct? Answer

In this article we will discussing about outliners affect on mean and median. Please read the question and let us know your view in comment sections.

Question: Roger claims that the two statistics most likely to change greatly when an outlier is added to a small data set are the mean and the median. is roger’s claim correct? 

With this question we will like to address 

“how do outliers affect the mean and standard deviation"

how do outliers affect the mean and standard deviation

is the mean always more accurate than the median

the mean is always a more accurate measure of center than the median

how will a high outlier in a data set affect the mean and median

how does an outlier affect the median

how will a high outlier in a data set affect the mean and median quizlet

removing an outlier from a data set will cause the standard deviation to increase

is the median affected by outliers ?

Answer: 

No, the Roger’s claim is not correct.

Why?

We are given that Roger claims that the two statistics most likely to change greatly when an outlier is added to a small data set are the mean and the median.

Does Median Changes:

Median are middlemost value of dataset, so any value which is an outlier will be either at the start or at the end will not the median value. So, the median will not likely change when an outlier is added to a small data set.

Does Mean Changes:

For the mean, is the average of all the data set values, that is the sum of all the observations divided by the number of observations. The mean will get affected by the outlier value because it take into account each and every value of the data set.

Hence Answers:

The above question statement is not correct because  the median is unaffected by the outlier value and only the mean value gets affected by the outlier value.

Source: Shudtech