Assume that the square footage of a residential house in the US is normally distributed with a mean=1000 and standard deviation=150 square feet. The 95% of all the houses range: from 700 to 1300 from 850 to 1150 from 706 to 1294 from 750 to 1250

Assume that the square footage of a residential house in the US is normally distributed with a mean=1000 and standard deviation=150 square feet. The 95% of all the houses range: from 700 to 1300 from 850 to 1150 from 706 to 1294 from 750 to 1250

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

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.5: Comparing Sets Of Data

Problem 1GP

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Question

Assume that the square footage of a residential house in the US is normally distributed with a mean=1000 and standard deviation=150 square feet. The 95% of all the houses range:

from 700 to 1300

from 850 to 1150

from 706 to 1294

from 750 to 1250

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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