Answered: DISCUSS THE FOLLOWING SOLUTION 1)…

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

DISCUSS THE FOLLOWING SOLUTION

1) Given :

The highest and lowest temperature is given as :

HT	LT
24	14
27	15
25	15
27	16
29	16
31	17
29	15
28	16
28	17
29	18
Sum - 277	Sum - 159
Average - 27710=27.7	Average - 15910=15.9

From the table,

Mean of high temperature is 27.7 degree

Mean of low temperature is 15.9 degree

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Solution - 2

2) Median :

The data has been ascendingly orderd as :

HT	LT
24	14
25	15
27	15
27	15
28	16
28	16
29	16
29	17
29	17
31	18

From the table values,

Median of high temperature :

MdHT=n+12thitems=10+12thitems=112thitems=5.5thitems=5thitems+0.56thitems-5thitems=28+0.528-28=28

Median of high temperature is 28 degree

Median of low temperature :

MdLT=n+12thitems=10+12thitems=112thitems=5.5thitems=5thitems+0.56thitems-5thitems=16+0.516-16=16

Median of low temperature is 16 degree

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Solution - 3

3) From the table given :

HT	LT
24	14
25	15
27	15
27	15
28	16
28	16
29	16
29	17
29	17
31	18

Mode of high temperature :

Here, 29 is repeated 3 times.

Thus, mode of high temperature is 29

Mode of low temperature :

Here, 15 and 16 is repeated 3 times.

Thus, mode of low temperature is 15 and 16

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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