Question

A random experiment involves drawing a sample of 12 data values from a normally distributed population....

A random experiment involves drawing a sample of 12 data values from a normally distributed population.

20 29 39 42
43 45 45 46
47 54 55 59



Calculate the z-score of the median of the data set.

z =  (Round to 3 decimal places)

Hint: You will need the mean and standard deviation first. Round your mean and standard deviation calculations to 5 decimal places.


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Answer #1

solution:-

given data = 20,29,39,42,43,45,45,46,47,54,55,59

mean = 43.66667

standard deviation = 10.83205

median = 45

so,

here we have to assume median as x

=> z-score = (x-mean)/standard deviation

=> z-score = (45-43.66667)/10.83205

=> z-score = 0.123

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