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Answers to CLT
12. What type of distribution is the original set of data (population)?
This is a uniform distribution since all numbers are equally likely to be chosen.
13. What is the mean and standard deviation of the population?
The mean is (100+1)/2 = 55.5
The standard deviation is (100-1)/12 = 28.579
14.
Histogram of C28, with Normal Curve
Frequency
15
10
5
0
40
50
60
C28
The histogram is approximately mound shaped and symmetric.
15. Descriptive Statistics: C28
Variable
C28
N
100
Mean
49.550
Median
49.700
TrMean
49.568
Variable
C28
Minimum
38.360
Maximum
61.840
Q1
46.050
Q3
53.320
StDev
5.287
SE Mean
0.529
16. They are close, but do not match because even with 100 samples of size 25, the conditions of
the central limit theorem are not fully met.
Mary O. Harrison – Salem High School – 7/9/05