Question

select the outlier in the data set. 56 62 71 49 64 54 11 58 72 57 61 52 60 if the outlier were removed from the data set, would the mean increase or decrease? increase decrease

Explanation:

Step1: Identify the outlier

An outlier is a data - point that is significantly different from other data - points. In the data set 56, 62, 71, 49, 64, 54, 11, 58, 72, 57, 61, 52, 60, the number 11 is much smaller than the other values. So the outlier is 11.

Step2: Analyze the effect on the mean

The mean of a data set is calculated as $\frac{\sum_{i = 1}^{n}x_{i}}{n}$, where $x_{i}$ are the data - points and $n$ is the number of data - points. The outlier 11 is a very small value. When we calculate the mean with 11 included, it pulls the mean down. When we remove 11, the sum of the remaining data - points will be divided by a smaller number of data - points, and since 11 was a small value, the new mean will be larger. So the mean will increase.

Answer:

The outlier is 11.
The mean will increase.