Answer:
a)
b) The sample deviation is calculated from the following formula:
And for this case after replace the values and with the sample mean already calculated we got:
If we assume that the data represent a population then the standard deviation would be given by:
And then the deviation would be:
Step-by-step explanation:
For this case we have the following dataset:
67.401, 67.400, 67.402, 67.396, 67.406, 67.401, 67.396, 67.401, 67.405, and 67.404
Part a: Determine the most probable value.
For this case the most probably value would be the sample mean given by this formula:
And if we replace we got:
Part b: Determine the standard deviation
The sample deviation is calculated from the following formula:
And for this case after replace the values and with the sample mean already calculated we got:
If we assume that the data represent a population then the standard deviation would be given by:
And then the deviation would be: