Answer:
As both the standard deviation and the mean have the desired values, the tool passes the technical control.
Step-by-step explanation:
Mean:
The mean is the sum of all values divided by the number of values.
[tex]M = \frac{199+204+201+197+195+204+200}{7} = 200[/tex]
The mean is in the desired range.
Standard deviation:
The standard deviation is the square root of the sum of the difference squared between each value and the mean, divided by the number of values.
[tex]S = \sqrt{\frac{(199-200)^2+(204-200)^2+(201-200)^2+(197-200)^2+(195-200)^2+(204-200)^2+(200-200)^2}{7}} = 1.18[/tex]
As both the standard deviation and the mean have the desired values, the tool passes the technical control.
