A frequency distribution of the airborne speeds in miles per hour of planes is shown. What is the mean of the distribution? Class366-386387-407408 428429 - 449450 - 470471 - 491492 512513 - 533Frequency52432324

Solution-: We have following frequency distribution table: Class Freq (fi) 366-386 5 387-407…

Answered: Class 366-386 387 - 407 408 - 428 429 -…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.2: Arithmetic Sequences

Problem 53E

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A frequency distribution of the airborne speeds in miles per hour of planes is shown. What is the mean of the distribution?

Class
366-386
387-407
408 428
429 - 449
450 - 470
471 - 491
492 512
513 - 533
Frequency
5
2
4
3
2
3
24

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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