Question

Is mean affected by outlier

Answer 1

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

      $=\frac{3+5+8+10+14}{5}\\\\=\frac{40}{5}\\\\=8$

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

      $=\frac{3+5+8+10+14+47+53}{7}\\\\=\frac{140}{7}\\\\=20$

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.

Answer 2

Answer:

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.

Step-by-step explanation: