Respuesta :
Answer:
Range = 71
Variance = 546.0
Standard Deviation = 23.4
Option A) Jersey numbers are nominal data that are just replacements for names, so the resulting statistics are meaningless.
Step-by-step explanation:
We are given the following data set in the question:
33, 29, 97, 56, 26, 78, 83, 74, 65, 47, 58
Formula:
[tex]\text{Standard Deviation} = \sqrt{\displaystyle\frac{\sum (x_i -\bar{x})^2}{n-1}}[/tex]
[tex]\text{Variance} = \displaystyle\frac{\sum (x_i -\bar{x})^2}{n-1}[/tex]
where [tex]x_i[/tex] are data points, [tex]\bar{x}[/tex] is the mean and n is the number of observations.
[tex]Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}[/tex]
[tex]Mean =\displaystyle\frac{646}{11} = 58.7[/tex]
Sum of squares of differences = 5460.18
[tex]\text{Variance} = \frac{5460.18}{11} = 546.0[/tex]
[tex]S.D = \sqrt{\frac{5460.18}{10}} = 23.4[/tex]
Sorted Data Set: 26, 29, 33, 47, 56, 58, 65, 74, 78, 83, 97
Range = Maximum - Minimum
Range = 97 - 26 = 71
Based on the values, we can say that
Option A) Jersey numbers are nominal data that are just replacements for names, so the resulting statistics are meaningless.
