2. Given the data 12,39,21,18,24,17,12,25

a what is the outlier in the data?
b what is the mean with the outlier?
c what is the mean without the outlier
A. 12;21;18.4
B. 12; 18.4; 21
C. 39; 21; 18.4
D. 39; 18.4; 21
I know it's C or D but I am unsure which one

Without the outlier, the mean (which functions as a balance point) would be lower.

so what is the ansewr?

To find the outlier and calculate the mean with and without the outlier, follow these steps:

Step 1: Sort the data in ascending order: 12, 12, 17, 18, 21, 24, 25, 39.

Step 2: Identify the outlier, which is the value that is significantly larger or smaller than the other values. In this case, 39 is the outlier because it is much larger than the other values.

Step 3: Calculate the mean with the outlier by summing up all the values and then dividing by the total number of values. The sum of the values is 12 + 12 + 17 + 18 + 21 + 24 + 25 + 39 = 168. There are 8 values, so the mean with the outlier is 168 / 8 = 21.

Step 4: Calculate the mean without the outlier by excluding the outlier from the calculation. The sum of the values without the outlier is 12 + 12 + 17 + 18 + 21 + 24 + 25 = 129. There are 7 values, so the mean without the outlier is 129 / 7 ≈ 18.43.

Comparing the options given:
A. 12; 21; 18.4
B. 12; 18.4; 21
C. 39; 21; 18.4
D. 39; 18.4; 21

Option C corresponds to the correct answers: 39 is the outlier, the mean with the outlier is 21, and the mean without the outlier is approximately 18.43.