What is an example of when you would want consistent data and, therefore, a small standard deviation?

12.1, 12.3,12.4,12.5,12.3,12.1,12.2

And for the standard deviation we can use the following formula:

And after replace we got:

And as we can ee we got a small value for the deviation <1 on this case.

Step-by-step explanation:

For example if we have the following data:

12.1, 12.3,12.4,12.5,12.3,12.1,12.2

We see that the data are similar for all the observations so we would expect a small standard deviation

If we calculate the sample mean we can use the following formula:

And replacing we got:

And for the standard deviation we can use the following formula:

And after replace we got:

And as we can ee we got a small value for the deviation <1 on this case.

it has the same slope and a different y-intercept

hope this : )