Answered: The diameter of iron rods issued in 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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Question

The diameter of iron rods issued in a high rising building pillars are
under investigation. The diameter for Eleven rods were measured and
the following results are obtained:
Days
14.5 16.0 15.4 16.3 15.4 15.9 15.5 14.9 15.7
16.0 15.9
Determine
i) The Interquartile range of the data
ii) Determine a measure to describe the asymmetry of the data set

Expert Solution

Step 1

The data are given

for the interquartile range first we calculate first quartile and third quartile.

The first quartile is,

$Q_{1} = {(\frac{n + 1}{4})}^{t h} t e r m = {(\frac{11 + 1}{4})}^{t h} t e r m = {(3)}^{r d} t e r m = 15.4$

The third quartile is,

$Q_{3} = 3 {(\frac{n + 1}{4})}^{t h} t e r m = 3 {(\frac{11 + 1}{4})}^{t h} t e r m = {(9)}^{t h} t e r m = 16$

The interquartile range can be calculated as,

IQR = Q₃ - Q₁

=16-15.4

= 0.6

Therefore, the interquartile range is 0.6

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