Expenditures per shopper at Upscale Clothing have a mean of $130 and a standard deviation of $40 and are normally distributed. What proportion of shoppers do you expect to have expenditures exceeding $200?

Expenditures per shopper at Upscale Clothing have a mean of $130 and a standard deviation of $40 and are normally distributed. What proportion of shoppers do you expect to have expenditures exceeding $200?

Holt Mcdougal Larson Pre-algebra: Student Edition 2012

1st Edition

ISBN:9780547587776

Author:HOLT MCDOUGAL

Publisher:HOLT MCDOUGAL

Chapter11: Data Analysis And Probability

Section11.4: Collecting Data

Problem 3E

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Question

Expenditures

per shopper

at Upscale

Clothing

have

a mean

$130 and a

standard

deviation of

$40 and are normally

distributed.

What proportion of

shoppers do

you

expect

to have expenditures

exceeding

$200?

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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