Answered: 9. Determines the average, median and…

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

9. Determines the average, median and standard deviation of each of the distributions to a variable (age, girl reaction time and boys reaction time).What interpretations can you make of it? B.) For each of the three two-variable distributions, make a graphical representation using a technological tool and calculate the values that can be used to interpret them. C.) Interpret graphic representations and draw conclusions.

Average
Median
Difference
(types)
Age (ans)
Girls' time of
reactions
(seconds) es)
Te
on des
Boy's time of
reaction
(seconds)
Tem
ga
n des
des)

Åge
Years
8
9
10
Girls
0,5
0,5
0,48
0,46
12
0,44
13
0,42
14
0,43
15
0,42
16
0,41
17
0,42
18
0,39
19
0,35
Source Statistiqu
.
Seconds
Boys
s)
0,47
0,46
0,44
0,42
0,39
0,38
0,39129
0,39
0,38
0,37
0,38
0,45

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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