Use the above data to prepare a frequency distribution table with 8 classes.Find the measures of center.Analyze the measures of center.Prepare a box-plot, correctly identifying the 5-number summary, upper and lower fences, and outliers (if any.) Properly sketch the box-plot.Find the measures of variance. Write the ranges for +/- 1 standard deviations, +/- 2 standard deviations, and +/- 3 standard deviations. Where is 75 located relative to the mean? 94 914173 4 34100 2180 75 2236 194 11 63 55 8698 28 28 12 51 42 31 987215 51384 62 219872302595| 92411 7099 6331 9 55 87 87

The given data are below94911551417343410021807522361941163558698282812572142319838462219872302595…

Answered: Use the above data to prepare a…

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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Use the above data to prepare a frequency distribution table with 8 classes.
Find the measures of center.
Analyze the measures of center.
Prepare a box-plot, correctly identifying the 5-number summary, upper and lower fences, and outliers (if any.) Properly sketch the box-plot.
Find the measures of variance.
Write the ranges for +/- 1 standard deviations, +/- 2 standard deviations, and +/- 3 standard deviations.
Where is 75 located relative to the mean?

94 91
41
73 4 34
100 21
80 75 22
36 1
94 11 63 55 86
98 28 28 12 5
1 42 31 98
72
15 51
3
84 62 21
98
72
30
25
95| 92
4
11 70
99 63
31 9 55 87 87

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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