the graph shows the number of pages in each chapter of a book that josh is reading. which statement is true…
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
Answer
Explanation:
Step1: Understand mean and median
Mean is sum of values divided by number of values. Median is middle - value when data is ordered.
Step2: Consider the outlier effect on mean
The outlier of 2 is a low - value. When calculating the mean, this low value will pull the sum down, thus decreasing the mean.
Step3: Consider the outlier effect on median
If the number of data points is odd, the median is the middle number. If even, it's the average of two middle numbers. A single low outlier like 2 may not change the position of the middle number(s) depending on the data set size and distribution. In many cases with a relatively large data set for chapter page - counts, it won't change the median.
Answer:
The outlier of 2 decreases the mean page count.