Question

georgina likes to read during her summer break. the table below shows the number of pages in each book she read this summer. what inference can someone draw about the data? the books she read this summer had more pages, on average, than last summer. the number of pages in each book varied more last summer than this summer. last summer, the average book had nearly twice the number of pages than the average book has this summer. this summer, the number of pages in a book varied nearly twice as much as the number of pages in last summers books.

Explanation:

Step1: Calculate average pages for this summer

Sum of pages this summer = \(150 + 170+150 + 190+180=840\). Number of books = 5. Average pages this summer \(=\frac{840}{5}=168\).

Step2: Calculate average pages for last summer

Sum of pages last summer = \(140 + 220+190 + 180+190 = 920\). Number of books = 5. Average pages last summer \(=\frac{920}{5}=184\).

Step3: Analyze the statements

• The books she read this summer did not have more pages on average than last summer since \(168<184\).
• The number of pages in each book did not vary more last summer than this summer. To check variability, we can consider range. Range this summer: \(190 - 150=40\). Range last summer: \(220 - 140 = 80\), but the statement says "varied more" which is incorrect as range is not enough to fully - describe variability and the average difference is not in line with this statement.
• Last summer, the average book did not have nearly twice the number of pages as the average book this summer since \(184\) is not nearly \(2\times168 = 336\).
• This summer, the number of pages in a book varied nearly twice as much as the number of pages in a book last summer is also incorrect as calculated above for range.

Since none of the statements are correct, we need to re - evaluate based on the data. Looking at the data, we can say that the books she read last summer had more pages on average.

Answer:

The books she read last summer had more pages, on average, than the books she read this summer.