THE FOLLOWING RELATIVE FREQUENCY DISTRIBUTIO WAS CONSTRUCTED FROM A POPULATION O

Question

THE FOLLOWING RELATIVE FREQUENCY DISTRIBUTIO WAS CONSTRUCTED FROM A POPULATION OF 250. CALCULATE THE POPULATION MEAN, THE POPULATION VARIANCE, AND TEH POPULATION STANDARD DEVIATION. ROUND YOUR INTERMEDIATE CACULATIONS TO 4 DECIMAL PLACES AND FINAL ANSERS TO 2 DECIMAL PLACES.

CLASS                                 RELATIVE FREQUENCY

-20 UP TO -10                                    0.30

-10 UP TO 0                                       0.24

0 UP TO 10                                       0.34

10 UP TO 20                                     0.12

Explanation / Answer

The excel calculations are shown here:

Variance = (freq. * midpt^2) - mean^2

stdev = sqrt( variance)

hope this helps.

Total Population = 250 Class Rel.Freq Actual Freq. Midpt. Of class Product Sqrd.Midpt Freq * sqrdMidpt -20 to -10 0.3 75 -15 -1125 225 16875 -10 to 0 0.24 60 -5 -300 25 1500 0 to 10 0.34 85 5 425 25 2125 10 to 20 0.12 30 15 450 225 6750 Total 1 250 0 -550 27250 Mean = -2.2 Variance= 104.16 Std.Dev 10.20588

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