Answer:
[tex]r=19[/tex]
[tex]IQR=9[/tex]
[tex]SD=5.81[/tex]
Step-by-step explanation:
Given the following data set:
[tex]26, 27, 20, 15, 30, 34, 28,20[/tex]
To find the range of a data set we have to find the largest and the smallest number of the set and then subtract them.
[tex]26, 27, 20, 15, 30, 34, 28,20[/tex]
[tex]34-15=19[/tex]
[tex]r=19[/tex]
To find the interquartile range we have to subtract the third quartile by the first quartile.
[tex]26, 27, 20, 15, 30, 34, 28,20[/tex]
[tex]IQR=Q3-Q1[/tex]
[tex]Q1=20[/tex]
[tex]Q3=29[/tex]
[tex]IQR=29-20=9[/tex]
[tex]IQR=9[/tex]
To find the standard deviation of a data set we have to use the formula to calculate standard deviation with the given values.
[tex]SD=\frac{(26-25)^2+...+(20-25)^2}{8}[/tex]
[tex]SD=\frac{270}{8} =\sqrt{33.75} =5.8094750193111[/tex]
[tex]5.8094750193111[/tex]
[tex]9>5[/tex]
[tex]SD=5.81[/tex]
Hope this helps.
