Answer: The best measure of center for this data set is median , and its value is 4.5 .
Step-by-step explanation:
The given data set : {5, 3, 5, 30, 4, 5, 4, 3, 4, 5}
We can see that it has an outlier (i.e. 30) which is extremely large from all the values.
We know that to measure the center of tendency we measure one of three things arranged in ascending order:
Mode< Median <Mean
But mean gets affected by outlier value.
Then the best measure of center for this data set must be Median.
For this, arrange given data set in order:
{3 ,3 ,4 ,4 ,4 ,5 ,5 ,5 ,5 ,30 }
Since , the number of data values = 10 (even)
Then , Median = Mean of two middle most numbers
[tex]\dfrac{4+5}{2}=4.5[/tex]
Hence, the best measure of center for this data set is median , and its value is 4.5 .
