1) Discuss the following solution The highest and lowest temperature is given as :HTLT2414271525152716291631172915281628172918Sum - 277Sum - 159Average - 27710=27.7Average - 15910=15.9From the table,Mean of high temperature is 27.7 degreeMean of low temperature is 15.9 degreeSolution - 22) Median :The data has been ascendingly orderd as :HTLT2414251527152715281628162916291729173118From the table values, Median of high temperature :MdHT=n+12thitems=10+12thitems=112thitems=5.5thitems=5thitems+0.56thitems-5thitems=28+0.528-28=28Median of high temperature is 28 degreeMedian of low temperature :MdLT=n+12thitems=10+12thitems=112thitems=5.5thitems=5thitems+0.56thitems-5thitems=16+0.516-16=16Median of low temperature is 16 degree

Mean is the mesure that includes all the observations in the data set. Mean is influenced by extreme…

Answered: 1) Discuss the following solution The…

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.2: Representing Data

Problem 24PFA

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1) Discuss the following solution

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

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

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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