given the data:
21,13,13,37,13,23,25,15
a. what is the outlier
b. what is the mean with the outlier
c.what is the mean without the outlier
37; 20; 17.6
To find the outlier, mean with the outlier, and mean without the outlier from the given data, follow these steps:
a. Finding the outlier:
1. Sort the data in ascending order: 13, 13, 13, 15, 21, 23, 25, 37.
2. Look for any values that are significantly different from the others. Outliers are usually considered to be values that are smaller or larger than the rest of the data.
In this case, we can see that 37 is significantly larger than the other values, so it is the outlier.
b. Calculating the mean with the outlier:
1. Add up all the values in the data: 21 + 13 + 13 + 37 + 13 + 23 + 25 + 15 = 160.
2. Divide the sum by the total number of values in the data, which is 8: 160 / 8 = 20. The mean with the outlier is 20.
c. Calculating the mean without the outlier:
1. Exclude the outlier from the data: 13, 13, 13, 15, 21, 23, 25.
2. Add up the remaining values: 13 + 13 + 13 + 15 + 21 + 23 + 25 = 123.
3. Divide the sum by the total number of values, which is now 7: 123 / 7 ≈ 17.57. The mean without the outlier is approximately 17.57.
So, to summarize:
a. The outlier is 37.
b. The mean with the outlier is 20.
c. The mean without the outlier is approximately 17.57.