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Sagot :
The sample standard deviations of the data set 2, 3, 5, 6, 7 rounded up to 2 decimal spaces is 2.07.
The term "standard deviation" refers to a measurement of the data's dispersion from the mean. A low standard deviation implies that the data are grouped around the mean, whereas a large standard deviation shows that the data are more dispersed. Think about the following data: 2, 1, 3, 2, 4.
The average and the total square of the observations' departures from the mean will be 2.4 and 5.2, respectively. This means that (5.2/5) = 1.01 will be the standard deviation. The standard deviation reveals the degree of data skewedness. It gauges how far away from the mean each observed value is. Approximately 95% of values in any distribution will be within two standard deviations of the mean.
Number of data points (n)=5
Mean (x)= (2+3+5+6+7)/5= 4.6
Here x = 2, 3, 5, 6, 7
(x-x) = -2.6, -1.6, 0.4, 1.4, 2.4
[tex](x-X)^{2}[/tex] = 6.76, 2.56, 0.16, 1.96, 5.76
∑[tex](x-X)^{2}[/tex] = 17.2
Sample standard deviation :
[tex]\sqrt{\frac{(x-X)^{2}}{n-1} } \\\\\sqrt{\frac{17.2}{4} } \\\\[/tex]
= 2.07
To know more about Sample standard deviation, visit: https://brainly.com/question/16934954
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