Write a table to show your steps for calculating the standard deviation and then use your table to calculate the standard deviation of the values listed: 10, 11, 12, 10.5, 11.25, 12.25, 10

Step-by-step explanation:

The Standard Deviation is defined as

Where is the standard deviation, is the mean and is the total number of data.

So, first, we need to find the mean of the data set.

Now, we have to subtract each data with the mean to then elevate the differnece to the square power.

Then, we sum all these results.

Next, we divide the sum by

Finally, we apply the square root.

Therefore, the standard deviation for the given data set is 1.65.

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answer: option a.

step-by-step explanation:

you know that the quadrilateral opqr ( a four sided figure) is inscribed in circle. this means that all its vertices are on the circle.

then, by definition, the opposite angles of the quadrilateral are supplementary, this means that the sum of their measures is 180 degrees.

you can observe in the figure that the angles ∠opq   and the angle ∠orq   are opposite, therefore:

then, can be used to d to calculate the measure of ∠opq