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How to Compute Population Standard Deviation Without Using a Computer Program

 
The statistical standard deviation expression refers to the spread of data about an (average) value means. You can find the standard deviation of a sample of data, or the standard deviation of an entire population. A sample is a subset of a population. Formulas for the sample standard deviation and population standard deviation vary slightly, but it is used to achieve the result procedure is the same.

Things you need:

1. Make a table with six rows and four columns. In row a, set the column headings. Column 1 is number. Column 2 is the Mean of all the numbers in the Set. Column 3 is number-Mean of all numbers in the Set. Column 4 is (Number-Mean of all numbers in the Set).

2. Start filling in the table. The figures used here are examples. Any numbers will work. In column 1, put the numbers 6, 4, 7, 8, 0.

3. In column 2 write the mean or the average of 6, 4, 7, 8 and 0 in each blank. 6 plus 4 plus 7 plus 8 plus 0 divided by 5 equals 5, then type 5 in every inch.

4. In column 3 calculate number minus the Mean, which means column 1 minus column 2. Goes down, you should have 1-1, 2, 3, 5.

5. Column 4, calculate (Number-Mean). potency. On the way down, you should have 1, 1, 4, 9, 25.

6. Add the numbers achieved in column 4. The result is 40.

7. Divide your answer in step 6 with 5, the number of entries. The result is 8.

8. Take the square root of your answer in step 7. . You get your final answer: 2.83.

 
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