Answered: Using the following stem & leaf plot,…

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

Using the following stem leaf plot, find the five number summary for the data by hand.

Expert Solution

Step 1

There are totally 18 data numbers in the given stem & leaf plot.

From the stem & leaf plot, the stating number is 16. Thus, the minimum value is 16.

The position of first quartile $(Q_{1})$ value for even sample size is,

$\begin{array}{rcl} First quartile & = & {[\frac{25 (n + 1)}{100}]}^{t h} Data value \\ = & {[\frac{25 (18 + 1)}{100}]}^{t h} Data value \\ = & 4 . 75^{t h} Data value \end{array}$

The first quartile is,

$\begin{array}{rcl} First quartile & = & 4^{t h} Data value + 0.75 (5^{t h} Data value - 4^{t h} Data value) \\ = & 27 + 0.75 (28 - 27) \\ = & 27 + 0.75 \\ = & 27.75 \end{array}$

Thus, the first quartile $(Q_{1})$ is 27.75.

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