Question

select the outlier in the data set. 55 29 23 901 50 44 68 70 66 94 33 13 82 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 given data set {55, 29, 23, 901, 50, 44, 68, 70, 66, 94, 33, 13, 82}, 901 is much larger than the other values.

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 901 is a very large value. When we remove it, the sum of the data - points will decrease by a large amount, and the number of data - points will decrease by 1. Since the outlier is a large value, removing it will decrease the sum more proportionally than the decrease in the number of data - points, resulting in a lower mean.

Answer:

901
decrease