Answered: The following table shows the…

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.4: Distributions Of Data

Problem 19PFA

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Question

The following table shows the distribution of household incomes in 2010 for a sample of 1,000 households in a country with incomes up to $100,000.

Income ($1,000)	10	30	50	70	90
Households	230	260	180	150	180

Compute the expected value ? and the standard deviation ? of the associated random variable X. (Round your answers to the nearest $1,000.)

?= $?= $

If we define a "lower-income" family as one whose income is more than one standard deviation below the mean and a "higher-income" family as one whose income is at least one standard deviation above the mean, what is the income gap between higher- and lower-income families in the country? (Round your answer to the nearest $1,000.)

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