Question

the graph shows the number of pages in each chapter of a book that josh is reading. chapter page counts 2 4 6 8 10 12 14 16 18 20 22 24 26 28 number of pages 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.

Explanation:

Step1: Recall Mean and Median Effects

Mean is sensitive to outliers (sum of values / number of values). Median is the middle value, less sensitive to extreme low/high values.

Step2: Analyze Outlier (2 pages)

The outlier is a very low value (2 pages) compared to other chapter lengths.

• Median: Since median depends on the middle position, a low outlier at the start won’t shift the median much (middle value is still around the center of most data points).
• Mean: Adding a low value (2) to the sum will decrease the total sum, and since mean = total / count, a lower total (with same count) decreases the mean.

Answer:

The outlier of 2 decreases the mean page count. (Corresponding option: The outlier of 2 decreases the mean page count.)