A company collected funds for charity from employees. The amount donated by some employees on the first day is as follows: $10, $20, $15, $100, $10, $15, $10 Which measure of central tendency best represents the data? Justify your selection and then find the measure of central tendency. (SHOW WORK)
Answers
Answer:
Median best represent the data because there is outlier in data . Value of median is 15.
Step-by-step explanation:
Given data :
$10 , $20 , $15 , $100 , $10 , $15 , $10
To find: Best Central tendency for the given data and value of the central tendency.
Arranging the given data in increasing order we get,
10 , 10 , 10 , 15 , 15 , 20 , 100
Clearly from data set, most of the values is in tens and twenties while there is 1 value which is in hundreds.
⇒ 100 is the outlier in the data set.
There are 3 central tendency : Mean , Median , Mode.
But when there is outlier in data Value of mean is distorted by it.
So, Median is usually preferred when there is outlier.
There are 7 observation in data.
So, median is 4th observation.
Median = 15.
Therefore, Median best represent the data because there is outlier in data . Value of median is 15.