Find the mean cost A sample of college students was asked how much they spent monthly oncoffee. Approximate the mean cost.Monthly coffee cost ($)10.00-19.9920.00-29.9930.00-39.9940.00-49.9950.00-59.99Number of students61326149

It is given that a sample of college students was asked how much they spent monthly on coffee.

Answered: A sample of college students was asked…

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

Chapter7: Applying Fractions

Section7.2: Proportions

Problem 47WE

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Question

Find the mean cost

A sample of college students was asked how much they spent monthly on
coffee. Approximate the mean cost.
Monthly coffee cost ($)
10.00-19.99
20.00-29.99
30.00-39.99
40.00-49.99
50.00-59.99
Number of students
6
13
26
14
9

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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