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. 2 4 6 8 10 12 14 16 18 20 22 24 26 28 number of pages

Explanation:

Step1: Recall properties of mean and median

Mean is sum of values divided by number of values, median is middle - value. Outliers affect mean more.

Step2: Analyze effect on mean

The value 2 is an outlier (lower than most values). Adding a lower value to the data - set will decrease the sum of values, and thus decrease the mean when divided by the number of values.

Step3: Analyze effect on median

The median depends on the position of values. Adding a single low - value outlier may not change the middle position (if number of data points is large enough). In general, a single low outlier does not decrease the median much or at all.

Answer:

The outlier of 2 decreases the mean page count.