1. A student was asked to compute the mean and standard deviation for the following sample of n _ 5 scores: 81, 87, 89, 86, and 87. To simplify the arithmetic, the student first subtracted 80 points from each score to obtain a new sample consisting of 1, 7, 9, 6, and 7. The mean and standard deviation for the new sample were then calculated to be M _ 6 and s _ 3. What are the values of the mean and standard deviation for the original sample?
2. for the following population of n=6 scores:
3,1,1,5
a) calculate ΣX and ΣX^2
b) use two sums from part a and the computational formal to compute sum of square (SS)for the scores.
3. for the following population of N=10 scores
14,6,8,3,9,12,1,6
a) sketch a histogram showing the population distribution
b) locate value of the population mean in your sketch and make an estimate of the standard deviation
c) compute sum of square (SS), variance, and standard deviation for the sample.
4. Calculate SS, variance and standard deviation for the following sample of n=4 SCORES,
4,0,1,1, ( NOTE: the computational formula works well with there scores) "