If the outlier is removed, what is the mean of the data set below?
21, 23, 19, 25, 83, 23, 21
A. 21
B. 22
C. 23
D. 24
The answer is 22 I believe
yuh
QUACKSON
To find the mean of a data set, you need to add up all the numbers in the data set and then divide the sum by the total number of values.
Let's find the mean of the given data set: 21, 23, 19, 25, 83, 23, 21
Step 1: Find the sum of the numbers.
21 + 23 + 19 + 25 + 83 + 23 + 21 = 215
Step 2: Find the total number of values.
There are 7 values in the data set.
Step 3: Divide the sum by the total number of values.
215 ÷ 7 = 30.71
So, the mean of the given data set, including the outlier, is approximately 30.71.
Now, if we remove the outlier (83), the new data set becomes: 21, 23, 19, 25, 23, 21.
Step 1: Find the sum of the new data set.
21 + 23 + 19 + 25 + 23 + 21 = 132
Step 2: Find the total number of values in the new data set.
There are 6 values in the new data set.
Step 3: Divide the sum by the total number of values.
132 ÷ 6 = 22
Therefore, if the outlier is removed, the mean of the new data set is 22.
The correct answer is B. 22.