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Sagot :
1) 1,3,4,7 dataset has the highest variance.
1. How to find the largest variance of given set of numbers?
Variability is measured by the variance. The average of the squared deviations from the mean is used to calculate it. The degree of spread in your data set is indicated by variance. The variance is greater in respect to the mean the more dispersed the data.
to find the variance,
first step is to calculate the mean Next, take each data point and square the difference after subtracting the mean. All values' squared differences are added. Next, divide the total by the number of data points. this is the process to get the variance.
a) now given that a. 7, 8, 9, 10
[tex]mean = \frac{sum \: of \: al l\:data \: points \: }{ total \: number \: of \: data\: points \: } [/tex]
[tex]mean = \frac{(7 +8 + 9 + 10) }{4} [/tex]
mean = 8.5
now, take each data point and square the difference after subtracting the mean.
[tex](7 - 8.5) {}^{2} = 2.25 \\ (8 - 8.5) {}^{2} = 0.25 \\ (9 - 8.5) {}^{2} = 0.25 \\ (10 - 8.5) {}^{2} = 2.25[/tex]
All values' squared differences are added.
2.25+0.25+0.25+2.25=5
Next, divide the total by the number of data points.
5/4 = 1.25
Hence the variance of 7,8,9,10 is 1.25
b) given that 1,3,4,7
mean = 3.75
variance = 18.75/4 = 4.68.
Hence the variance of 1,3,4,7 is 4.68
c) given that 4,2,1,0
mean= 1.75
variance= 2.1875
Hence the variance of 4,2,1,0 is 2.1875
D) given that 1,0,2,4
mean= 1.75
variance= 2.1875
Hence the variance of 1,0,2,4 is 2.1875
Therefore 1,3,4,7 dataset has the highest variance.
Learn more about variance from here:
https://brainly.com/question/25639778
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