For the following data set approximate the sample standard deviation
Asked by admin @ in Mathematics viewed by 279 People
Find the standard deviation of the given data rounded to the nearest hundredth. 12, 53, 141, 219,500
Asked by admin @ in Mathematics viewed by 279 People
Find the standard deviation of the given data rounded to the nearest hundredth. 12, 53, 141, 219,500
Answered by admin @
STEP 1: Compute the mean
The mean of the dataset is the sum of the elements divided by their number:
STEP 2: Compute the residuals
You have to compute the difference between every element and the mean:
Step 3: Square the residuals:
Step 4: Sum the squared the residuals:
Step 5: Divide by the number of elements in the dataset:
Step 6: Consider the square root of the result:
The formula we used is
where is the standard deviation, are the elements in the dataset, is the number of elements in the dataset, and is the mean of the dataset.
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