The mean is approximately 137.2. Now, we can find the deviation from the mean for each value and square it. Let's use a table to organize the information.
Data Value
Deviation from Mean
Squared Deviation
125
125-137.2= -12.2
( -12.2)^2 = 148.84
136
136-137.2= -1.2
( -1.2)^2=1.44
150
150-137.2= 12.8
( 12.8)^2=163.84
119
119-137.2= -18.2
( -18.2)^2 = 331.24
150
150-137.2= 12.8
( 12.8)^2=163.84
143
143-137.2= 5.8
( 5.8)^2=33.64
Next, we can find the mean of the squared deviations.
The final step is to find the square root of the mean of the squared deviations.
sqrt(140.5) ≈ 11.9
The standard deviation of the data is approximately 11.9.
