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:
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
[tex]=\frac{3+5+8+10+14}{5}\\\\=\frac{40}{5}\\\\=8[/tex]
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
[tex]=\frac{3+5+8+10+14+47+53}{7}\\\\=\frac{140}{7}\\\\=20[/tex]
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.
