The frequency distribution below represents the square footage of a random sample of 500 houses that are owner occupied year-round. Approximate the mean and standard deviation square footage. Square FootageFrequency0-4995500–999171000–1499361500–19991212000–24991192500-2999813000–3499473500-3999454000-4499224500–49997Source: Based on data from the U.S. Census Bureau.

Answered: Square Footage Frequency 0–499 5…

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 frequency distribution below represents the square footage of a random sample of 500 houses that are owner occupied year-round. Approximate the mean and standard deviation square footage.

Square Footage
Frequency
0-499
5
500–999
17
1000–1499
36
1500–1999
121
2000–2499
119
2500-2999
81
3000–3499
47
3500-3999
45
4000-4499
22
4500–4999
7
Source: Based on data from the U.S. Census Bureau.

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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