Respuesta :
The median is usually the measure of central tendency that should be used when there is an ordinal or askewed data
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
[tex]=\frac{2+3+4+5+6}{5}\\\\=4[/tex]
⇒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
[tex]=\frac{2+3+4+5+6+10}{6}\\\\=5[/tex]
Median =Middle most value of data set
As Total number of observation is even.
So, Median
[tex]\rightarrow\frac{4+5}{2}\\\\=4.5[/tex]
→ Median is less affected by an outlier than mean.
So,→ Median is better measure of central tendency when there is an outlier.
