# Chapter 5 - Discrete Probability Distributions - Review - Cumulative Review Exercises - Page 238: 1

a) $24.4$ hours b) $24.2$ hours c) $4.7$ hours d) $1.7$ hours e) $2.9$ hour$^2$ f) Usually between $21$ and $27.8$ hours g) No h) Ratio i) Continuous j) No

#### Work Step by Step

a) The mean is the sum of all values over the number of values, hence the mean is $24.4$. b) The median is the middle value, which is $24.2$. c) The range is the difference of the highest and lowest values, which is $4.7$ hours. d) Standard deviation: $σ=\sqrt{\frac{Σ(x−\overline{x})^2}{n−1}}=1.7$ e) $σ^2=1.7^2\approx2.9.$ f) According to the range rule of thumb, we find that the range is usually between $21$ and $27.8$ hours. g) These times are not within the range of typical values. h) The level of measurement is ratio. i) The data are continuous. j) Because the populations of these countries are so different, it doesn't make sense to treat the different time zones with different populations in the same way.

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