Electricity bills: According to a government energy agency, the mean monthly household electricity bill in the United States in 2011 was $110.42. Assume the amounts are normally distributed with standard deviation $19.00. Use the TI-84 Plus calculator to answer the following. (a) Find the 1lth percentile of the bill amounts (b) Find the 62nd percentile of the bill amounts (c) Find the median of the bill amounts, Round the answers to at least two decimal places.

Electricity bills: According to a government energy agency, the mean monthly household electricity bill in the United States in 2011 was $110.42. Assume the amounts are normally distributed with standard deviation $19.00. Use the TI-84 Plus calculator to answer the following. (a) Find the 1lth percentile of the bill amounts (b) Find the 62nd percentile of the bill amounts (c) Find the median of the bill amounts, Round the answers to at least two decimal places.

PREALGEBRA

15th Edition

ISBN:9781938168994

Author:OpenStax

Publisher:OpenStax

Chapter5: Decimals

Section5.5: Averages And Probability

Problem 400E: The cash register receipts each day last week at a coffee shop were $1,845. $1,520. $1,438, $1,682,...

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Question

Electricity bills: According to a government energy agency, the mean monthly household electricity bill in the United States in
2011 was $110.42. Assume the amounts are normally distributed with standard devlation $19.00, Use the TI-84 Plus calculator to
answer the following.
(a) Find the 11th percentile of the bill amounts.
(b) Find the 62nd percentile of the bill amounts.
(c) Find the median of the bill amounts.
Round the answers to at least two decimal places.

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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