Answered: 2. The following summary statistics are…

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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Question

2. The following summary statistics are given based on the observations of the radiation emitted through closed doors of n =12 randomly selected oven were made.

Statistics

a) What is the 50th percentile? Interpret this value.

b) Calculate the interquartile range and hence comment this value.

c)Sketch a box plot and comment about skewness.

d)From the Boxplot, do you identify outliers? Comment the outliers, if so?

e)Which measures of central tendency will be the best measure for this data?
Give an argument in favour of your answer.

Variable	N	Mean	StDev	Minimum	Q1	Median	Q3	Maximum
C1	12	0.13	0.08	0.05	0.10	0.12	0.13	0.40

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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