For the givenmoan, médianthe meandata below find. and mode CRomdto three decimal blacese mode existsmore thanoneseprateyourcommedr cuscwer with

Answered: For the given moan, médian the mean…

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

For the given
moan, médian
the mean
data below find
. and mode CRomd
to three decimal blaces
e mode exists
more than
one
seprate
your
commed
r cuscwer with

Expert Solution

Step 1

From the provided data we have,

The mean is calculated as,

$M e a n = \frac{\sum_{i} x_{i}}{n} = \frac{29.4 + 28.9 + 28.7 + 33.9 + 22.1 + 26.9 + . . . . . . . . .}{15} = \frac{403.8}{15} = 26.920$

Thus, the mean is 26.920.

Step 2

We have arranged the data in ascending order and then calculate the median.

Sr.No.	Observation	Sr.No.	Observation
1	20.2	9	28.8
2	20.2	10	28.9
3	21.4	11	29.4
4	21.7	12	30.3
5	22.1	13	31.3
6	25.1	14	33.9
7	26.9	15	34.9
8	28.7

The median is calculated as,

$M e d i a n = s i z e o f {(\frac{n + 1}{2})}^{t h} o b s e r v a t i o n = s i z e o f {(\frac{15 + 1}{2})}^{t h} o b s e r v a t i o n = s i z e o f 8^{t h} o b s e r v a t i o n = 28.7$

Thus, the median is 28.7.

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