Question

the graph shows the number of pages in each chapter of a book that josh is reading. chapter page counts which statement is true about the effect of the 2 - page introduction chapter? the outlier of 2 increases the median page count. the outlier of 2 increases the mean page count. the outlier of 2 decreases the median page count. the outlier of 2 decreases the mean page count. 2 4 6 8 10 12 14 16 18 20 22 24 26 28 number of pages

Explanation:

Step1: Recall the properties of mean and median

The mean is the sum of all values divided by the number of values. The median is the middle - value when the data is arranged in ascending order. An outlier can affect the mean and median differently.

Step2: Analyze the effect on the mean

The mean is sensitive to outliers. Since the outlier (2) is a very low value compared to the other data points, when we add it to the data set, it will pull the sum down. As the mean is $\text{Mean}=\frac{\text{Sum of all values}}{\text{Number of values}}$, adding a very low - value outlier will decrease the mean.

Step3: Analyze the effect on the median

The median is the middle value. If the number of data points is odd, it is the middle number; if even, it is the average of the two middle numbers. Adding a single low - value outlier may not change the position of the middle value(s) if the data set is large enough. In this case, the outlier 2 is not likely to change the median position.

Answer:

The outlier of 2 decreases the mean page count.