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Parallel treatments of a frequency distribution and a probability distribution.

Parallel treatments of a frequency distribution and a probably distribution.

Frequency Distribution
Complete the table below for the following data. (Recall that x is the midpoint of the interval.)

14, 7, 1, 11, 2, 3, 11, 6, 10, 13, 11, 11, 16, 12, 9, 11, 9, 10, 7, 12, 9, 6, 4, 5, 9, 16, 12, 12, 11, 10, 14, 9, 13, 10, 15, 11, 11, 1, 12, 12, 6, 7, 8, 2, 9, 12, 10, 15, 9, 3

Interval x Tally f xf
1-3 2 IIII I 6 12
4-6
7-9
10-12
13-15
16-18

Probability Distribution
A binomial distribution has n = 10 and p = .5. Complete the following table.

x P(x) x P(x)
1 .001
2 .010
3 .044
4 .117
5
6
7
8
9
10

a. Find the mean (or expected value) for each distribution.
b. Find the standard deviation for each distribution.
c. Use the normal approximation of the binomial probability distribution to find the
interval that contains 95.44% of that distribution.

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Parallel treatments of a frequency distribution and a probability distribution are investigated.

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