Answered: Use your rounded summary statistics…

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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Please read the following question below and answer the question to show the work carefully.

Use your rounded summary statistics from the summary tempo table to calculate the interval corresponding
to two standard deviations from the mean of the Tempo variable (only for the Pop
Genre). Type your work showing how you obtained this interval. Clearly label the
interval in your solutions document as (lower value, upper value).

Total number of observed data points: 3439
Genre
edm
latin
pop
r&b
rap
rock
Summary_
Summary Table for Tempo
No. Observed
640
538
548
568
633
512
Mean
126
116
121
113
119
123
Sample Std.Dev.
14
28
24
28
31
27

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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