What is the mean and standard deviation? The comparison population is represented by the national statistics from 2009 with a population mean of 13.50minutes of commercials during a one-hour program. The population standard deviation is not provided so it needsto be estimated from the sample. The population mean is estimated with the sample mean. Use the sample databelow to calculate the sample mean (estimated population mean) and the estimated population standard deviation.TV Network123456789Commercialtime per hour1313.51514.2514.514.2513.251616.75

We have given the following data X : 13,13.5,15,14.25,14.5,14.25,13.25,16,16.75

Answered: The comparison population is…

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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What is the mean and standard deviation?

The comparison population is represented by the national statistics from 2009 with a population mean of 13.50
minutes of commercials during a one-hour program. The population standard deviation is not provided so it needs
to be estimated from the sample. The population mean is estimated with the sample mean. Use the sample data
below to calculate the sample mean (estimated population mean) and the estimated population standard deviation.
TV Network
1
2
3
4
5
6
7
8
9
Commercial
time per hour
13
13.5
15
14.25
14.5
14.25
13.25
16
16.75

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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