Answer the following statistic questions regarding shapes, mean and medians, z-score, etc. Name two different kinds of shapesthat are a possible for a distributiondepicted in a histogram.Among mean and median, whichmeasure is more resistant (lessaffected by the variability of the data)?What is the difference betweenL>sigma and Is? How do you identifythem from the graphing calculatoroutput?What has to be different about thedata being used to construct a ParetoChart versus constructing aHistogram?What does a z-score measure?

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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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Answer the following statistic questions regarding shapes, mean and medians, z-score, etc.

Name two different kinds of shapes
that are a possible for a distribution
depicted in a histogram.
Among mean and median, which
measure is more resistant (less
affected by the variability of the data)?
What is the difference between
L>sigma and Is? How do you identify
them from the graphing calculator
output?
What has to be different about the
data being used to construct a Pareto
Chart versus constructing a
Histogram?
What does a z-score measure?

Definition Definition Middle value of a data set. The median divides a data set into two halves, and it also called the 50th percentile. The median is much less affected by outliers and skewed data than the mean. If the number of elements in a dataset is odd, then the middlemost element of the data arranged in ascending or descending order is the median. If the number of elements in the dataset is even, the average of the two central elements of the arranged data is the median of the set. For example, if a dataset has five items—12, 13, 21, 27, 31—the median is the third item in ascending order, or 21. If a dataset has six items—12, 13, 21, 27, 31, 33—the median is the average of the third (21) and fourth (27) items. It is calculated as follows: (21 + 27) / 2 = 24.

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