The following table gives the frequency distribution of the amounts of telephone bills for August 2012 for a sample of 50 families. Amount of Telephone Bill (dollars)Number of Families40 to less than 70370 to less than 10014100 to less than 13010130 to less than 1605160 to less than 19018 Calculate the mean, variance, and standard deviation.Round your answers to two decimal places. Mean = $ Enter you answer; MeanVariance = Enter you answer; VarianceStandard deviation = $ Enter you answer; Standard deviation

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Description: The following table gives the frequency distribution of the amounts of telephone bills for August 2012 for a sample of 50 families. Amount of Telephone Bill (dollars)Number of Families40 to less than 70370 to less than 10014100 to less than 13010130

Given, The dataset which contain amount of telephone bill and number of families . Lower Limit…

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MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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The following table gives the frequency distribution of the amounts of telephone bills for August 2012 for a sample of 50 families.

Amount of Telephone Bill (dollars)	Number of Families
40 to less than 70	3
70 to less than 100	14
100 to less than 130	10
130 to less than 160	5
160 to less than 190	18

Calculate the mean, variance, and standard deviation.

Round your answers to two decimal places.

Mean = $ Enter you answer; Mean

Variance = Enter you answer; Variance

Standard deviation = $ Enter you answer; Standard deviation

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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