Question 188631This question is from textbook a survey of mathematics with applications
: 24) Seven employees at a large company were asked the number of addtional years they planned to work before retirement. their response was 10,23,28,4,1,6,12
A) detrimine the standard deviation.
26) the amount of money that 7 people spent on perscription medication in a year are as follows: $600,$100,$850,$350,$250,$140,$300.
A)detrmine the range
B)determine the standard deviation
This question is from textbook a survey of mathematics with applications
Answer by Edwin McCravy(20060)   (Show Source):
You can put this solution on YOUR website! 10,23,28,4,1,6,12
1. List the numbers under X.
2. Add them, getting 84.
3. Count them, there are 7
4. Divide 84 by 7, getting 12.
That's x, the mean.
5. Subtract 12 from each number,_
place it under the heading X-X
6. Square each number under the heading
X-X and put it under
the heading (X-X)2 _
7. Add those numbers under (X-X)2
8. Divide by 1 less that the number of numbers, that is,
there are 7 numbers so divide by 1 less
or 6, getting 100.3333333, that's called the "variance", s2
9. Take the square root of 100.3333333, getting s = 10.0166528
10. The range is the largest number minus the smallest number, 28-1 or 27.
_ _ _
X - X = X-X (X-X)2
------------------------
10 - 12 = -2 4
23 - 12 = 11 121
28 - 12 = 16 256
4 - 12 = -8 64
1 - 12 = -11 121
6 - 12 = -6 36
12 - 12 = 0 0
--- ----
7)84 6) 602
--- _ ----
12 = X 100.3333333 = s2
___________
Ö100.3333333 = 10.0166528 = s
The largest value is 28 and the smallest value is 1, so the
range is 28-1 or 27.
Your other problem is done the same way.
The mean is $370
The standard deviation is $267.3325021
The range is $850-$100 = $750
Edwin
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