John spent $75 on a shopping trip for new clothes last week. He had expected to spend $100 on clothes. Complete the table.
2 answers:
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The answer to this is 23.42 (For population, SD)
The data given as a whole is called UNGROUPED data. The standard deviation can be computed with the formula:
To do this, you need to first figure out the following:
Mean (
) =?
The sum of
=?
You need to write down your data in a table, but before you can do this, you need to first find out what the mean is and you can do this by adding up all the data and dividing it by the number of observations:
So we subtract the mean from each data to fill in the second column. I'll use the first raw data to make the first row as an example here:
For the third column, you just need get the square of the second column.
For this table, let x be raw data and X be
:
x | (x-X) | (x-X)²
3 | -10.22 | 104.4484
| |
4 | - 9.22 | 85.0084
| |
5 | - 8.22 | 67.5684
| |
6 | - 7.22 | 52.1284
| |
2 | - 11.22 | 125.8884
| |
3 | -10.22 | 104.4484
| |
12 | - 1.22 | 1.4884
| |
79 | 65.78 | 4327.0084
| |
5 | - 8.22 | 67.5684
REMEMBER: The Σ means "the sum of" to get Σ(x-X)² Add the values in the third column to get the sum of (x-X)² and you will get 4,935.5556
Now all you have to do is input it into your equation:
The standard deviation is 23.42
The data given as a whole is called UNGROUPED data. The standard deviation can be computed with the formula:
To do this, you need to first figure out the following:
Mean (
The sum of
You need to write down your data in a table, but before you can do this, you need to first find out what the mean is and you can do this by adding up all the data and dividing it by the number of observations:
So we subtract the mean from each data to fill in the second column. I'll use the first raw data to make the first row as an example here:
For the third column, you just need get the square of the second column.
For this table, let x be raw data and X be
x | (x-X) | (x-X)²
3 | -10.22 | 104.4484
| |
4 | - 9.22 | 85.0084
| |
5 | - 8.22 | 67.5684
| |
6 | - 7.22 | 52.1284
| |
2 | - 11.22 | 125.8884
| |
3 | -10.22 | 104.4484
| |
12 | - 1.22 | 1.4884
| |
79 | 65.78 | 4327.0084
| |
5 | - 8.22 | 67.5684
REMEMBER: The Σ means "the sum of" to get Σ(x-X)² Add the values in the third column to get the sum of (x-X)² and you will get 4,935.5556
Now all you have to do is input it into your equation:
The standard deviation is 23.42
Here is your answer:
In order to find your answer we will have to solve each option separately to see which one equals 6 × 5.
<---- Not the answer
<----- Not the answer
<---- Your answer
Therefore your answer is option C "6 + 6 + 6 + 6 + 6 ."
Hope this helps!