386,160 views
4 votes
4 votes
Consider a sample with data values of 26, 27, 20, 15, 30, 34, 28, and 20. Compute the range, interquartile range, variance, and standard deviation (to a maximum of 2 decimals, if decimals are necessary).

User Commandantp
by
3.0k points

1 Answer

22 votes
22 votes

Answer:


r=19


IQR=9


SD=5.81

Explanation:

Given the following data set:


26, 27, 20, 15, 30, 34, 28,20

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.


26, 27, 20, 15, 30, 34, 28,20


34-15=19


r=19

To find the interquartile range we have to subtract the third quartile by the first quartile.


26, 27, 20, 15, 30, 34, 28,20


IQR=Q3-Q1


Q1=20


Q3=29


IQR=29-20=9


IQR=9

To find the standard deviation of a data set we have to use the formula to calculate standard deviation with the given values.


SD=((26-25)^2+...+(20-25)^2)/(8)


SD=(270)/(8) =√(33.75) =5.8094750193111


5.8094750193111


9>5


SD=5.81

Hope this helps.

User Geuis
by
3.3k points