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In general , the median of a data set is more resistant to outliers than the mean. A.)True B.) False

2 Answers

1 vote

Answer:

WRONG ANSWER. The correct answer is False.

Explanation:

I know this because I used their answer and got it wrong!

User Kark
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5.7k points
5 votes

Answer:

A. True.

Explanation:

We have been given a statement and we are asked to find whether our given statement is true or false.

Statement: The median of a data set is more resistant to outliers than the mean.

Since we know that an extreme value data point, either very higher or very lower than rest of data points, affects the mean more than median.

If an extreme small value data point will be added to any data set, it will decrease the value of mean, while a very large data point will increase the value of mean.

Since outliers affect the mean value of the data but have little effect on the median. This means that median of a data set is more resistant to outliers than the mean, therefore, our given statement is true.

User Xander Dunn
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4.9k points