Question

this list shows the age at which 38 u.s. presidents died. what is the median age of the presidents at their death? a. 69 b. 67.5 c. 68 d. 70 please select the best answer from the choices provided

Explanation:

Step1: Arrange data in ascending order

46, 49, 53, 56, 56, 57, 60, 60, 63, 63, 64, 64, 65, 66, 67, 67, 67, 68, 70, 71, 71, 71, 72, 73, 74, 77, 78, 78, 79, 80, 81, 83, 85, 88, 90, 93

Step2: Determine the position of the median

There are $n = 36$ data - points. Since $n$ is even, the median is the average of the $\frac{n}{2}$th and $(\frac{n}{2}+ 1)$th ordered - data values. $\frac{n}{2}=\frac{36}{2}=18$ and $\frac{n}{2}+1 = 19$.

Step3: Find the 18th and 19th ordered - data values

The 18th value is 68 and the 19th value is 70.

Step4: Calculate the median

Median=$\frac{68 + 70}{2}=69$

Answer:

a. 69