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

Last Summer

140

220

190

180

190

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 summer's books

Answer 1

The standard deviation is a measure of a collection of values' variance or dispersion. The correct option is B.

What is a standard deviation?

The standard deviation is a measure of a collection of values' variance or dispersion. A low standard deviation implies that the values are close to the set's mean, whereas a high standard deviation shows that the values are spread out over a larger range.

For the last summer,

Mean = (140 + 220 + 190 + 180 + 190) / 5 = 920/5 = 184

$\sigma={\sqrt {\dfrac{(140-184)^2+ (220-184)^2+(190-184)^2+(180-184)^2+(190-184)^2}{5}}}\\\\\sigma = 25.7682$

For this summer,

Mean = (150 + 170 + 150 + 190 + 180) / 5 = 840/5 = 168

$\sigma={\sqrt {\dfrac{(150-168)^2+ (170-168)^2+(150-168)^2+(190-168)^2+(180-168)^2}{5}}}\\\\\sigma = 16$

Hence, The number of pages in each book varied more last summer than this summer. Thus, the correct option is B.

Learn more about Standard Deviation:

brainly.com/question/16555520

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