Q1. Industrial engineers periodically conduct "work measurement" analyses to determine the time used to produce a single unit of output. At a large processing plant, the total number of man-hours required per day to perform a certain task was recorded for 50 days. his information will be used in a work measurement analysis. The total man-hours required for each of the 50 days are listed below. 128 119 95 97 124 128 142 98 108 120 112 111 150 117 122 124 118 109 124 97 138 133 136 120 112 146 97 116 92 122 125 131 120 103 135 114 109 100 111 131 113 132 116 98 112 138 100 388 100 89 a) Using a sensible class interval, construct a frequency distribution and hence draw histogram, frequency polygon and ogive. Comment on your graphs. b) Compute the mean, the median, and the mode of the data set. c) Find the range, the variance, the standard deviation, the mean deviation, coefficient of variation, coefficient of mean deviation, and coefficient of skewness of the data set.

Q1. Industrial engineers periodically conduct "work measurement" analyses to determine the time used to produce a single unit of output. At a large processing plant, the total number of man-hours required per day to perform a certain task was recorded for 50 days. his information will be used in a work measurement analysis. The total man-hours required for each of the 50 days are listed below. 128 119 95 97 124 128 142 98 108 120 112 111 150 117 122 124 118 109 124 97 138 133 136 120 112 146 97 116 92 122 125 131 120 103 135 114 109 100 111 131 113 132 116 98 112 138 100 388 100 89 a) Using a sensible class interval, construct a frequency distribution and hence draw histogram, frequency polygon and ogive. Comment on your graphs. b) Compute the mean, the median, and the mode of the data set. c) Find the range, the variance, the standard deviation, the mean deviation, coefficient of variation, coefficient of mean deviation, and coefficient of skewness of the data set.

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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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Concept explainers

Inverse Normal Distribution

The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.

Mean, Median, Mode

It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.

Z-Scores

A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.

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Question

Q1. Industrial engineers periodically conduct "work measurement" analyses to
determine the time used to produce a single unit of output. At a large processing
plant, the total number of man-hours required per day to perform a certain task
was recorded for 50 days. his information will be used in a work measurement
analysis. The total man-hours required for each of the 50 days are listed below.
128 119 95
97
124
128 142 98
108 120 112 111
150 117 122 124 118 109 124 97
138 133 136 120
112 146 97
116 92
122 125 131 120 103 135 114
109 100 111 131 113 132 116 98
112 138 100 388
100 89
a) Using a sensible class interval, construct a frequency distribution and hence
draw histogram, frequency polygon and ogive. Comment on your graphs.
b) Compute the mean, the median, and the mode of the data set.
c) Find the range, the variance, the standard deviation, the mean deviation,
coefficient of variation, coefficient of mean deviation, and coefficient of
skewness of the data set.
d) Construct the intervals Fts, F+2s,F±3s. Count the number of observations
that fall within each interval and find the corresponding proportions. Compare
your results with that of Chebyshev's inequality. Do you detect any outliers?
e) Find the 75th percentile for the data on total daily man-hours.
f) Construt a stem and leaf display for the data and comment on it.
g) Construct a box-plot and comment on it.

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