Cindy asked her friends how many times they had watched a particular movie, with the results of 1, 0, 1, 3, 2, and 7. What is the mean of this set of data without the outlier?
A. 1.4
B. 1.75
C. 2.3
D. 2.8
To find the mean of a set of data without the outlier, we need to remove the outlier (largest or smallest value) and then calculate the average of the remaining numbers.
In this case, we have the following values: 1, 0, 1, 3, 2, and 7.
The outlier in this data set is 7 since it is significantly larger than the other numbers.
If we remove the outlier, we are left with the following numbers: 1, 0, 1, 3, and 2.
To find the mean, we add up these numbers and divide by the total count of values, which is 5.
(1 + 0 + 1 + 3 + 2) / 5 = 7 / 5 = 1.4.
Therefore, the mean of this set of data without the outlier is 1.4.
So, the answer is A. 1.4.
To find the mean of a set of data, you need to add up all the values and then divide by the total number of values. Since there is an outlier in this set of data, we need to exclude it before calculating the mean.
The outlier in this case is the number 7. So, the set of data without the outlier would be 1, 0, 1, 3, and 2.
To find the mean without the outlier, follow these steps:
1. Add up all the values: 1 + 0 + 1 + 3 + 2 = 7.
2. Count the total number of values without the outlier: in this case, there are 5 values.
3. Divide the sum by the total number of values: 7 / 5 = 1.4.
Therefore, the mean of this set of data without the outlier is 1.4.
So, the correct answer is A. 1.4.