Question
Twenty-five randomly selected students were asked the number of movies they watched the previous week. The...
Twenty-five randomly selected students were asked the number of movies they watched the previous week. The results are as follows.
| # of movies | Frequency |
|---|---|
| 0 | 5 |
| 1 | 10 |
| 2 | 6 |
| 3 | 3 |
| 4 | 1 |
(a) Find the sample mean x. (Enter your answer to two decimal places.)
x=
(b) Find the approximate sample standard deviation, s.
(Round your answer to two decimal places.)
s =
Homework Answers
Answer #1
Solution,
| no. of movies (x) | frequency (f) | f * x | f * x2 |
| 0 | 5 | 0 | 0 |
| 1 | 10 | 10 | 10 |
| 2 | 6 | 12 | 24 |
| 3 | 3 | 9 | 27 |
| 4 | 1 | 4 | 16 |
| Total | 25 | 35 | 77 |
n = 25
a) Sample mean = x = 
f * x / n = 35 / 25 = 1.40
b) Sample standard deviation = s = 
(
f * x2 / n - 1 ) - ( n * x2 / n -
1 )
s =
(77 / 24) - ( 25 * 1.402 / 24 )
s =
3.20 - 2.04
s =
1.16
s = 1.08
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