Question

this list shows the age at which 38 u.s. presidents died. 46 58 64 68 73 80 90 49 60 65 70 74 81 93 53 60 66 71 77 83 56 63 67 71 78 85 56 63 67 71 78 88 57 64 67 72 79 90 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

The data is already in a list - no need to re - arrange as it is not out of order. There are $n = 38$ data points.

Step2: Determine the position of the median

Since $n=38$ (an even number), the median is the average of the values at positions $\frac{n}{2}$ and $\frac{n}{2}+1$. $\frac{n}{2}=\frac{38}{2}=19$ and $\frac{n}{2}+1 = 20$.

Step3: Identify the 19th and 20th values

Counting through the list, the 19th value is 67 and the 20th value is 68.

Step4: Calculate the median

Median=$\frac{67 + 68}{2}=\frac{135}{2}=67.5$

Answer:

B. 67.5