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Name: A grocery store manager wants to estimate the mean purchase total for
Uploaded: 2024-03-20T07:07:12.000Z
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Description: A grocery store manager wants to estimate the mean purchase total for all customers that shop at her store. To do so, she selects a random sample of 30 receipts from the large list of all receipts that are stored in the computer. Here is a dotplot of

Algebra: Structure And Method, Book 1

(REV)00th Edition

ISBN:9780395977224

Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Chapter1: Introduction To Algebra

Section1.9: Opposites And Absolute Values

Problem 8MRE

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A grocery store manager wants to estimate the mean purchase total for all customers that shop at her store. To do so, she selects a random sample of 30 receipts from the large list of all receipts that are stored in the computer. Here is a dotplot of the results.

The mean purchase total is $93.80 and the median purchase total is $75.80. The store manager investigates and learns that the customer that made a $500 purchase had not purchased groceries, but rather a $500 gift card. Because this customer’s purchase was not typical, the manager decides to exclude this total from the data set. How will removing the $500 purchase from the data set affect the value of the mean and the median?

(A) The mean will decrease more than the median.
(B) The mean will decrease less than the median.
(C) The mean will stay the same, but the median will decrease.
(D) The mean will increase more than the median.
(E) The mean will increase, but not as much as the median.

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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