Olivia is making salad dressing. She has ⅞ cup of olive oil. She needs 1/3 cup for the first recipe and ¼ cup for her second rec
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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
Answer:
a) P=0.019
b) P=0.263
c) P=0.794
Step-by-step explanation:
We assume that the poll gives the population's proportion of respondents said that their jobs were sometimes or always stressful (p=0.8).
Then, a sample of size n=190 is taken.
The sample mean is:
The sample standard deviation is:
The probability that 140 or fewer workers find their jobs stressful is:
Note: a correction for continuity is applied.
The probability that more than 155 workers find their jobs stressful is
The probability that the number of workers who find their jobs stressful is between 145 and 158 inclusive is: