using the range rule of thumb to approximate the standard deviation - a distribution of data has a maximum value of 80, a median value 0f 60.5 nd a minimum of 41. - Please round to the nearest tenth.
To approximate the standard deviation using the range rule of thumb, you need to find the range and divide it by 4.
First, find the range by subtracting the minimum value from the maximum value:
Range = Maximum value - Minimum value
Range = 80 - 41
Range = 39
Next, divide the range by 4 to get an estimate of the standard deviation:
Standard Deviation ≈ Range / 4
Standard Deviation ≈ 39 / 4
Standard Deviation ≈ 9.75
Rounding to the nearest tenth:
Standard Deviation ≈ 9.8
Therefore, the approximate standard deviation of the distribution is 9.8, rounded to the nearest tenth.