Question

Consider a sample with data values of 27, 24, 21, 19, 32, 36, 29, and 24....

Consider a sample with data values of 27, 24, 21, 19, 32, 36, 29, and 24. Compute the range, interquartile range, variance, and standard deviation (to a maximum of 2 decimals, if decimals are necessary).

Range
Interquartile range
Variance
Standard deviation
Math   Statistics-And-Probability   
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Homework Answers

Answer #1

We can easily calculate these quantities by the formulas .

Where Q3 is the 3rd quartile and Q1 is the 1st quartile

after arranging the numbers ascending order we can see that

19 21 24 24 27 29 32 36

Q1 is given by such that data before Q1 is 25% and Q3 is calculated such that data after Q3 is 25 %

so Q3 = 29.75 and Q1 = 23.25

where

similarly

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