The following is apart of a single math problem for Business Stats that i had to solve and it took me over 45 minutes to do with the help of a math tutor...
Its very annoying and i nearly lost my mind or what is left of it....
1. Make a chart of all given information
1 20 3.00
2 38 6.00
3 53 9.00
4 45 12.00
5 40 14.00
6 13 16.00
7 5 18.00
8 36 20.00
2. Get your probability percent from the second column we do this by adding them all up and getting a total number of 250. Then we take 250 and divide it by the second column
20 .08
38 .152
53 .212
45 .18
40 .16
13 .052
5 .02
38 .152
3. After this we add up all the numbers in the new table’s second column we come up with 1.008 this number is completely worthless and will not be used again in the equation. Why I was forced to find it I will never ******ing know.
4. Next we take the probability percent and times it by the order in which they appear on the chart. For example .08 times 1, .152 times 2 etc
.08*1 .08
.152*2 .304
.212*3 .636
.18*4 .72
.16*5 .8
.052*6 .312
.02*7 .14
.152*8 1.21
5. Next we add up the new set of numbers we got. This equals 4.64 this number we need for the next step.
6. Now we take 4.64 and subtract it from 1 through 8
1-4.64 2-4.64 3-4.64 4-4.64 5-4.64 6-4.64 7-4.64 8-4.64
3.64 2.64 1.64 .64 .36 1.36 2.36 3.36
7. Now the numbers we got from subtracting we now need to square.
13.24 6.96 2.68 .4096 .1296 1.84 5.56 11.28
8. Now we take these new numbers and times them with the probability numbers we gotten earlier
13.24 6.96 2.68 .4096 .1296 1.84 5.56 11.28
.08 .152 .212 .18 .16 .052 .02 .152
1.05 1.01 .568 .073 .020 .956 .111 1.71
9. Now since we have completed that we add up the bottom row and it equals 5.53
10. Final step: take the square root of 5.53 and get 2.35 which equal your standard deviation.