Use the frequency distribution table below showing a sample

Use the frequency distribution table below showing a sample data set for 10 students on a test with a maximum score of 20 to answer questions 5 through 7: Find the mean score, X, of the data in the frequency distribution above. (Round answer to one decimal position.) Find the standard deviation of the scores in the frequency distribution above. (Round answer to one decimal position.) A delivery truck must make stops in eight different cities, designated by the first letter in the name of the city: A, B, C, D, E, F, G, and H. If the order in which the truck visits the eight locations is chosen randomly, what is the probability that it will visit them in alphabetical order? (Write a, b, or c as your answer.)

Solution

5.

Consider the table:

Thus,

Xbar = Sum(xf) / Sum(f) = 80/42 = 1.904761905 [ANSWER]

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6.

Here,

s^2 = [Sum(x^2 f) - Sum(xf)^2 / (Sum (f))]/(nSum(f)1) = (890 - 80^2/10)/(10-1)

s^2 = 27.77777778

Thus,

s = 5.270462767 [ANSWER]

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Score	Frequency	Midpoint (x)	Midpoint*Frequency (x f)	Midpoint^2*Frequency (x^2 f)
1-5	4	3	12	36
6-10	3	8	24	192
11-15	2	13	26	338
16-20	1	18	18	324
Totals	10	42	80	890