Which measure of central tendency should be used when there is an outlier

Answer with explanation:

There are three measure of central tendency which is used to evaluate data

 1. Mean

 2. Median

 3. Mode

→Mean is equal to sum of all the observation divided by total number of variate in data set.

→Median is Middle most variate in the data set when arranged in ascending or descending order.

→Mode is that variate which occurs maximum number of times in the data set.

⇒When there is outlier , you can use mean or median ,because it considers all the variate in data set.

Consider the data set

A=2,3,4,5,6,

⇒Mean of A

⇒Median =Middle most value of data set

           As Total number of observation is odd

So, Median=4

⇒Suppose , a variate , 10 is added to data set.

So, Mean of A

Median =Middle most value of data set

           As Total number of observation is even.

So, Median

   → Median is less affected by an outlier than mean.

So,→ Median is better measure of central tendency when there is an outlier.

answer for #1 is c

answer for #2 is d

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1 number

if we use a graphing calculator, there is only one such number that satisfies the conclusion of the mean value theorem, that is, a number such that

where the right-hand side is the average rate of change of f on the interval [0.5,0.75], which is the slope of the secant line.

in the attached graph, the black line is the secant line which has its slope as the average rate of change of f on [0.5,0.75], while the orange line is the only tangent line to the graph of f in the interval that satisfies the mvt conclusion.