Answered: Statistics Question

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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Intensity of rain $(x_{i})$	1	2	3	4	5	6
Frequency $(f_{i})$	2	4	2	3	2	3

The formula for mean is given by : $x = \frac{1}{N} {\sum x_{i}}_{i = 1}^{n} f_{i}$ , [ N: total frequency ]

Intensity of rain $(x_{i})$	Frequency $(f_{i})$	$(x_{i} f_{i})$
1	2	2
2	4	8
3	2	6
4	3	12
5	2	10
6	3	18
	N = 16	${\sum x_{i}}_{i = 1}^{n} f_{i} = 56$

$x_{i n t e n s i t y o f r a i n} = \frac{1}{N} {\sum x_{i}}_{i = 1}^{n} f_{i}$

$= \frac{1}{16} \times 56$

$= 3.5$

Therefore, the mean of rain intensity is 3.5

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