how do i set up data to find the standard deviation of the data?
It is so easy in your calculator, you put it in stat mode, and enter the data.
Now manually, with a computational table, it is more difficult. Check your text on that.
http://www.csgnetwork.com/stddeviationcalc.html
To calculate the standard deviation of a set of data, you need to follow these steps:
1. Gather your data: Obtain a set of data values that you want to find the standard deviation for. For example, let's consider a dataset of exam scores: {75, 80, 85, 90, 95}.
2. Calculate the mean: Add up all the values in the dataset and divide by the total number of values to find the mean (average). In our example, the sum of the values is 425, and since there are 5 values, the mean is 425/5 = 85.
3. Calculate the deviation of each data point: Subtract the mean (step 2) from each data point, which gives you the deviation for each value. In our example, the deviations would be {-10, -5, 0, 5, 10}.
4. Square the deviations: Square each deviation calculated in step 3. This is done to eliminate negative values and emphasize the differences between the data points. In our example, the squared deviations would be {100, 25, 0, 25, 100}.
5. Calculate the variance: Find the average of the squared deviations calculated in step 4. This value is called the variance. In our example, the sum of squared deviations is 250, and since there are 5 values, the variance is 250/5 = 50.
6. Calculate the standard deviation: Take the square root of the variance calculated in step 5 to obtain the standard deviation. In our example, the square root of 50 is approximately 7.07.
So, for the dataset {75, 80, 85, 90, 95}, the standard deviation is approximately 7.07.