statproj - IMMACULATE HEART OF MARY COLLEGE Better Living...

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IMMACULATE HEART OF MARY COLLEGE Better Living Subdivision, Parañaque City S.Y. 2008-2009 PROJECT PAPER # 2 IN STATISTICS SUBMITTED TO: Ms. E. Hazel O. Magrare Teacher --- Statistics IV SUBMITTED BY: Aaron R. Alvarez Maynard Angelo O. Itable Monica R. Almeida IV-Clare DATE: December 10, 2008
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1. Mean (using the Classmark Formula) Given: n=38 Σ f X m =605 Solution: 2. Median Given: X LB =15.5 <cf=14 f m =15 n/2=19 i =4 Solution: CLASS INTERVALS f X m f X m 0-3 1 1.5 1.5 4-7 2 5.5 11 8-11 3 9.5 28.5 12-15 8 13.5 108 16-19 15 17.5 262.5 20-23 9 21.5 193.5 n=38 Σ f X m =605 CLASS INTERVALS f <cf 0-3 1 1 4-7 2 3 8-11 3 6 12-15 8 14 16-19 15 29 20-23 9 38 n=38
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3. Standard Deviation Given: Σ f (X m -X) 2 =913.28 n=38 Solution: CLASS INTERVALS f X m X (X m -X) 2 f (X m -X) 2 0-3 1 1.5 15.9 207.36 207.36 4-7 2 5.5 108.16 216.32 8-11 3 9.5 40.96 122.88 12-15 8 13.5 5.76 46.08 16-19 15 17.5 2.56 38.40 20-23 9 21.5 31.36 282.24 n=38 Σ f (X m -X) 2 =913.28
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4. Skewness Given: X=15.9 X=16.8 s=4.97 Solution: INTERPRETATION OF THE RESULTS: The computed mean and median are 15.9 and 16.8, respectively. With the
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statproj - IMMACULATE HEART OF MARY COLLEGE Better Living...

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