Question

the graph shows the number of pages in each chapter of a book that josh is reading. which statement is true about the effect of the 2 - page introduction chapter? chapter page counts 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. 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 affects the mean more than the median.

Step2: Analyze the effect on the mean

The 2 - page introduction is an outlier (a value much lower than the other page - counts). When calculating the mean, this low value will decrease the sum of all page - counts and thus decrease the mean.

Step3: Analyze the effect on the median

If the number of data points is odd, the median is the middle number. If it is even, the median is the average of the two middle numbers. Since the outlier is a small value, it is less likely to change the position of the middle number(s) when the data is ordered. So, the median is not affected much by a single low outlier.

Answer:

The outlier of 2 decreases the mean page count.