Question

Refer to the frequency distribution and find the standard deviation by using the formula sequals=StartRoot StartFraction...

Refer to the frequency distribution and find the standard deviation by using the formula

sequals=StartRoot StartFraction n left bracket Summation from nothing to nothing left parenthesis f times x squared right parenthesis right bracket minus left bracket Summation from nothing to nothing left parenthesis f times x right parenthesis right bracket squared Over n left parenthesis n minus 1 right parenthesis EndFraction EndRootn∑f•x2−∑(f•x)2n(n−1)​,

where x represents the class​ midpoint, f represents the class​ frequency, and n represents the total number of sample values. Compare this value with the standard deviation found using the original list of data​ values,

65.365.3.

Blood Platelet Count of

MalesMales

​(1000

​cells/muμ​L)

Frequency

0​-99

3

100​-199

39

200-299

90

300​-399

22

400​-499

0

500​-599

0

600​-699

1

Homework Answers

Answer #1
x f f*M f*M2
49.5 3 148.5 7350.75
149.5 39 5830.5 871659.75
249.5 90 22455 5602522.5
349.5 22 7689 2687305.5
449.5 0 0 0
549.5 0 0 0
649.5 1 649.5 421850.25
total 155 36773 9590688.8
mean =x̅=Σf*M/Σf= 237.2419
sample Var s2=(ΣfM2-ΣfM2/n)/(n-1)= 5627.9849
Std deviation s= √s2 = 75.0199~ 75.02

from above standard deviation =75.02 (please take care of number of decimals as required in the question)

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