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The following relative frequency distribution was constructed from a population of 300. Calculate the population mean,...

The following relative frequency distribution was constructed from a population of 300. Calculate the population mean, the population variance, and the population standard deviation. (Negative values should be indicated by a minus sign. Round intermediate calculations to at least 4 decimal places and final answers to 2 decimal places.)

Class Relative Frequency −20 up to −10 0.08

−10 up to 0 0.22

0 up to 10 0.38

10 up to 20 0.32

Population mean

Population variance

Population standard deviation

math   Statistics-And-Probability   
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Answer #1
Midpoint (X) Frequency(f) Freq*X (X-mean) (X-mean)2 f*(X-mean)2
-15 24 -360 -19.4 376.36 9032.64
-5 66 -330 -9.4 88.36 5831.76
5 114 570 0.6 0.36 41.04
15 96 1440 10.6 112.36 10786.56
Total -> 300 1320 - - 25692

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