Given the data 22,29,21,24,27,28,25,and 36 - and using the range rule of thumb - what is the standard deviation?
4.8
Standard deviation = range divided by 4
Note: range is highest minus the lowest value.
Thats wrong ^^ your answer choices are
2.8 1.7 4.2 3.8
To find the standard deviation using the range rule of thumb, you first need to calculate the range and then use it to estimate the standard deviation. Let's go step by step:
Step 1: Calculate the range
The range is the difference between the maximum and minimum values in the data set. In this case, the minimum is 21 and the maximum is 36.
Range = Maximum value - Minimum value
Range = 36 - 21
Range = 15
Step 2: Use the range to estimate the standard deviation
The range rule of thumb states that the standard deviation can be approximated as approximately one-sixth (1/6th) of the range.
Standard Deviation ≈ Range / 6
Standard Deviation ≈ 15 / 6
Standard Deviation ≈ 2.5
Therefore, using the range rule of thumb, the estimated standard deviation for the given data is approximately 2.5.