(Note: The definitional formula works well with these scores.) 1o Calculate SS,

Question

(Note: The definitional formula works well with these scores.) 1o Calculate SS, variance, and standard deviation for the following population of N-8 scores:1 , 3, 1 , 10, l ' 0, 1,3. (Note: The computational formula works well with these scores.) 11. Calculate SS, variance, and standard deviation for the following population of N 7 scores: 8, 1,4, 3, 5 3, 4. (Note: The definitional formula works well with these scores.) 12. )For the following set of scores: 6,2,3, 0, 4 a. If the scores are a population, what are the vari- ance and standard deviation? h. If the scores are a sample, what are the variance and standard deviation? 13. Explain why the formula for sample variance is differ- ent from the formula for population variance. 14. for the following sample of n-6 scores: 0, 11, 5, 10, 5, 5 a. Sketch a histogram showing the sample distribution. Locate the valuc of the sample mean in your sketch, and make an estimate of the standard h.

Explanation / Answer

Ans:

12)6,2,3,0,4

mean=(6+2+3+0+4)/5=15/5=3

If population:

Variance=[(6-3)2+((2-3)2+(3-3)2+(0-3)2+(4-3)2]/5=[(9+1+0+9+1]/5=20/5=4

standard dev=sqrt(4)=2

if Sample:

Variance=[(6-3)2+((2-3)2+(3-3)2+(0-3)2+(4-3)2]/4=[(9+1+0+9+1]/4=20/4=5

standard dev=sqrt(5)=2.236

10)1,3,1,10,1,0,1,3

mean=(1+3+1+10+1+0+1+3)/8=20/8=2.5

SS=[4*(1-2.5)2+2*(3-2.5)2+(10-2.5)2+(0-2.5)2]=9+0.5+56.25+6.25=72

Sample variance=72/7=10.286

Sample standard deviation=sqrt(10.286)=3.207

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