Question:FInd the mean, variance, and standarad deviation. 3.65 The following table gives the frequency distribution of the number of hours spent per weck playingvideo games by all 60 students of the cighth grade at a school.Hours per WeekNumber of Students0 to less than 575 to less than 1010 to less than 15121515 to less than 201320 to less than 25825 to less than 305

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Answered: 3.65 The following table gives the…

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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FInd the mean, variance, and standarad deviation.

3.65 The following table gives the frequency distribution of the number of hours spent per weck playing
video games by all 60 students of the cighth grade at a school.
Hours per Week
Number of Students
0 to less than 5
7
5 to less than 10
10 to less than 15
12
15
15 to less than 20
13
20 to less than 25
8
25 to less than 30
5

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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