1.For a random sample of size 10, we have calculated a standard deviation ofs=4. Which ofthe following facts is true?

The variance is 16.

The variance is 2.

The variance is 4.

The standard deviation calculation is incorrect.

2.A lumber yard has scrap wood for sale. One employee recorded the measurementsfor the lengths of 55 different wood boards. The median length was recorded as 56.04 inches andthe IQR was recorded as 12.36 inches. Someone discovers the measuring tape used started at 5inches instead of 0. This means that each piece of wood is actually 5 inches shorter than the valuerecorded by the employee. What is theupdated median? Report your answer to two decimal places.