Math (Prof. Frank ONLY)

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samplepr5.xlsx

Sheet1

Salary No. of employees ( f ) Midpoint (Xm) (Xm) 2 f.Xm f.( Xm ) 2
5001 - 10,000 11 $ 7,500.50 $ 56,257,500.25 $ 82,505.50 $ 618,832,502.75
10,001 - 15,000 13 $ 12,500.50 $ 156,262,500.25 $ 162,506.50 $ 2,031,412,503.25
15,001 - 20,000 20 $ 17,500.50 $ 306,267,500.25 $ 350,010.00 $ 6,125,350,005.00
20,001 - 25,000 17 $ 22,500.50 $ 506,272,500.25 $ 382,508.50 $ 8,606,632,504.25
25,001 - 30 ,000 13 $ 27,500.50 $ 756,277,500.25 $ 357,506.50 $ 9,831,607,503.25
Total 74 ∑f X m $ 1,335,037.00 $ 27,213,835,018.50
(∑f X m ) 2 $ 1,782,323,791,369.00
(∑f X m ) 2 / n $ 24,085,456,640.12
s 2 = $ 42,275,383.49 (Variance)
SD= $ 6,501.95
Population variance
=∑f.Xm 2 – [( ∑fXm )2 / n]
n

Sheet2

Sheet3