Question

georgina likes to read during her summer break. the table below shows the number of pages in each book she read last summer and the number of pages in each book she read this summer.

number of pages georgina reads during the summer
this summer	150	170	150	190	180

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 last - summer average

The sum of pages last summer is \(140 + 220+190 + 180+190=920\). The average is \(\frac{920}{5}=184\).

Step2: Calculate this - summer average

The sum of pages this summer is \(150 + 170+150 + 190+180 = 840\). The average is \(\frac{840}{5}=168\). So option A and C are incorrect.

Step3: Calculate last - summer range

The highest value last summer is 220 and the lowest is 140. The range is \(220 - 140=80\).

Step4: Calculate this - summer range

The highest value this summer is 190 and the lowest is 150. The range is \(190 - 150 = 40\). Since \(80>40\), the number of pages in each book varied more last summer than this summer.

Answer:

The number of pages in each book varied more last summer than this summer.