Question

Is mean affected by outlier

Answer 1

it measures spread around the mean. Because of its close links with the mean, standard deviation can be greatly affected if the mean gives a poor measure of central tendency. Standard deviation is also influenced by outliers one value could contribute largely to the results of the standard deviation.

Explanation:

Answer 2

Answer with explanation:

Mean of a data set is defined as sum of all the observation divided by total number of observation.

For, example

Consider the Data set,the cost of five pens,={3,5,8,10,14}

Mean

`=(3+5+8+10+14)/(5)\\\\=(40)/(5)\\\\=8`

Now, Two pens having cost $ 47 and $ 53 is included in the Data set

New data set of Seven pens,={3,5,8,10,14,47,53}

Mean

`=(3+5+8+10+14+47+53)/(7)\\\\=(140)/(7)\\\\=20`

So, you can see there is variation or Difference between two means.

We can conclude from above two results ,that mean is affected by outlier.