which number can be added to the data so that the range of the data will be 55? 56, 81, 54, 47, 45…

Explanation:

Step1: Find current max and min

The current data set is 56, 81, 54, 47, 45, 94. The current maximum value is 94 and the current minimum value is 45.

Step2: Recall range formula

The range formula is $Range = Max - Min$. We want the range to be 55.

Step3: Consider two - cases

Case 1: If we add a new maximum value $x$, then $x - 45=55$, so $x = 55 + 45=100$. Case 2: If we add a new minimum value $y$, then $94 - y=55$. Solving for $y$ gives $y=94 - 55 = 39$.

Answer:

C. 39