OCT-6-ADD-ON-2.pptxhajaajajanannsnsnsnsnsnsn

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1. MAEd 202 EDUCATIONAL STATISTICS APAYAO STATE COLLEGE “ A gile, S ustainable & C ommitted to Diversity, Equity, Excellence, Inclusion & Innovation” MALAMA, CONNER APAYAO ISO Certified

2. OCTOBER 6, 2024 “ A gile, S ustainable & C ommitted to Diversity, Equity, Excellence, Inclusion & Innovation” ISO Certified APAYAO STATE COLLEGE MALAMA, CONNER APAYAO

3. Given the group scores, Find the following: a. Mean b. Median c. Mode d. sample variance e. s tandard deviation “ A gile, S ustainable & C ommitted to Diversity, Equity, Excellence, Inclusion & Innovation” ISO Certified APAYAO STATE COLLEGE MALAMA, CONNER APAYAO

4. “ A gile, S ustainable & C ommitted to Diversity, Equity, Excellence, Inclusion & Innovation” ISO Certified APAYAO STATE COLLEGE MALAMA, CONNER APAYAO a. Mean Mean = ∑ ( f ⋅ x )/N CLASSES f 1 - 10 3 11 - 20 5 21 - 30 7 31 - 40 10 41 -50 5 N =30

5. “ A gile, S ustainable & C ommitted to Diversity, Equity, Excellence, Inclusion & Innovation” ISO Certified APAYAO STATE COLLEGE MALAMA, CONNER APAYAO a. Mean Mean = ∑ ( f ⋅ x )/N CLASSES f Midpoint (x) 210 - 219 2 5.5 220 -229 3 15.5 230 - 239 5 24.5 240 - 249 12 34.5 250 - 259 11 44.5 260 - 269 7 CLASSES f 1 - 10 3 11-20 5 21 - 30 7 31 - 40 10 41 -50 5 N =30

6. “ A gile, S ustainable & C ommitted to Diversity, Equity, Excellence, Inclusion & Innovation” ISO Certified APAYAO STATE COLLEGE MALAMA, CONNER APAYAO a. Mean Mean = ∑ ( f ⋅ x )/N = 832.5/30 Mean ( ꭒ) = 27.75 CLASSES f Midpt (x) fx 1 - 10 3 5.5 16.5 11-20 5 15.5 77.5 21 - 30 7 24.5 171.5 31 - 40 10 34.5 345 41 -50 5 44.5 222.5 N =30 ∑ fx = 832.5

7. “ A gile, S ustainable & C ommitted to Diversity, Equity, Excellence, Inclusion & Innovation” ISO Certified APAYAO STATE COLLEGE MALAMA, CONNER APAYAO b. Median Locate n/2 = 30/2 =15 = = 21.5 + ( 0) x 10 = 21.5 + 0 Mdn = 21.5   CLASSES f Midpt (x) fx cf 1 - 10 3 5.5 16.5 3 11-20 5 15.5 77.5 8 21 - 30 7 24.5 171.5 15 31 - 40 10 34.5 345 25 41 -50 5 44.5 222.5 30 N =30 ∑ fx = 832.5

8. “ A gile, S ustainable & C ommitted to Diversity, Equity, Excellence, Inclusion & Innovation” ISO Certified APAYAO STATE COLLEGE MALAMA, CONNER APAYAO c. Mode = 31 - 40   CLASSES f Midpt (x) fx cf 1 - 10 3 5.5 16.5 3 11-20 5 15.5 77.5 8 21 - 30 7 24.5 171.5 15 31 - 40 10 34.5 345 25 41 -50 5 44.5 222.5 30 N =30 ∑ fx = 832.5

9. d. Sample variance ( 2 )   “ A gile, S ustainable & C ommitted to Diversity, Equity, Excellence, Inclusion & Innovation” ISO Certified APAYAO STATE COLLEGE MALAMA, CONNER APAYAO = 4833.8125/30 = 161.1104   CLASSES f Midpoint (x) (x-ũ) (X-ũ) 2 f (X-ũ) 2 1 - 10 3 5.5 22.25 495.0625 1485.1875 11-20 5 15.5 12.25 150.0625 750.3125 21 - 30 7 24.5 3.25 10.5625 739.375 31 - 40 10 34.5 6.75 45.5625 455.625 41 -50 5 44.5 16.75 280.5625 1402.8125 N =30 ∑ f (X-ũ) 2 = 4833.3125

10. e. Standard deviation ( sd ) = sd = 12.69   “ A gile, S ustainable & C ommitted to Diversity, Equity, Excellence, Inclusion & Innovation”   ISO Certified APAYAO STATE COLLEGE MALAMA, CONNER APAYAO  

11. THANK YOU! & MABUHAY ASC! APAYAO STATE COLLEGE “ A gile, S ustainable & C ommitted to Diversity, Equity, Excellence, Inclusion & Innovation” MALAMA, CONNER APAYAO ISO Certified