Answered: Electricity bills: According to a…

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015

1st Edition

ISBN:9781680331141

Author:HOUGHTON MIFFLIN HARCOURT

Publisher:HOUGHTON MIFFLIN HARCOURT

Chapter11: Data Analysis And Displays

Section11.3: Shapes Of Distributions

Problem 20E

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Related questions

Question

Electricity bills: According to a government energy agency, the mean monthly household electricity bill in the United States in

2011

was

$109.77

. Assume the amounts are normally distributed with standard deviation

$22.00

. Use Excel to answer the following. Round the answer to four decimal places.

Part: 0 / 3

0 of 3 Parts Complete

Part 1 of 3

(a) What proportion of bills are greater than

$137

The proportion of bills that are greater than

$137

is
.

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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