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Given the sample data. x :23,17,15,30,27 (a)Find the range. (Enter an exact number.) (b)Verify that x =112and x 2 =2,672. (For each answer, enter an

Given the sample data.

x:23,17,15,30,27

(a)Find the range. (Enter an exact number.)

(b)Verify thatx=112andx2=2,672. (For each answer, enter an exact number.)

x=

x2=

(c)Use the results of part (b) and appropriate computation formulas to compute the sample variances2and sample standard deviations. (For each answer, enter a number. Round your answers to two decimal places.)

s2=

s=

(d)Use the defining formulas to compute the sample variances2and sample standard deviations. (For each answer, enter a number. Round your answers to two decimal places.)

s2=

s=

(e)Suppose the given data comprise the entire population of allxvalues. Compute the population variance2and population standard deviation. (For each answer, enter a number. Round your answers to two decimal places.)

2=

=

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