Find the standard deviation for data: 6, 2, 3, 1
The standard deviation for this data is approximately 1.87.
To find the standard deviation for a set of data, follow these steps:
Step 1: Find the mean (average) of the data set.
Mean = (6 + 2 + 3 + 1) / 4 = 12 / 4 = 3
Step 2: Subtract the mean from each data point and square the result.
(6 - 3)^2 = 9
(2 - 3)^2 = 1
(3 - 3)^2 = 0
(1 - 3)^2 = 4
Step 3: Find the mean of the squared differences.
Mean of squared differences = (9 + 1 + 0 + 4) / 4 = 14 / 4 = 3.5
Step 4: Take the square root of the mean of the squared differences to find the standard deviation.
Standard deviation = √3.5 ≈ 1.87 (rounded to two decimal places)
Therefore, the standard deviation for the given data set is approximately 1.87.