Show and explain all steps in calculating the mean and standard deviation of the data set assigned to you. You must show your work, not just give the answers. It may be helpful to organize your work/steps in a table. If you used any technology to aid you in this process, explain how each step was aided by the technology. Use the Descriptive Statistics video in Resources.When finding the standard deviation for a sample, explain the importance in dividing by n-1 rather than just n.Also explain the impact, if anything at all, to the mean and standard deviation if all of the values in a dataset are doubled Prices (in dollars) of cordless phones at an electronics store: 38, 52, 60, 66, 75, 65, 81, 100, 85, 59, 120, 100, 70, 40, 40, 82, 54, 117, 65, 112, 84, 69, 119, 125, 122, 121, 109, 87, 92, 101, 89, 94, 48, 73, 81

The question is about descriptive statistics Given data : To explain : 1 ) importance of dividing…

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Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section: Chapter Questions

Problem 25SGR

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Show and explain all steps in calculating the mean and standard deviation of the data set assigned to you. You must show your work, not just give the answers. It may be helpful to organize your work/steps in a table. If you used any technology to aid you in this process, explain how each step was aided by the technology. Use the Descriptive Statistics video in Resources.
1. When finding the standard deviation for a sample, explain the importance in dividing by n-1 rather than just n.
2. Also explain the impact, if anything at all, to the mean and standard deviation if all of the values in a dataset are doubled
3. Prices (in dollars) of cordless phones at an electronics store: 38, 52, 60, 66, 75, 65, 81, 100, 85, 59, 120, 100, 70, 40, 40, 82, 54, 117, 65, 112, 84, 69, 119, 125, 122, 121, 109, 87, 92, 101, 89, 94, 48, 73, 81

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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