Question

question 8 of 10
what is the median of the following string of values?
55, 18, 58, 49, 8, 77, 62, 26, 7, 91

a. 52
b. 58
c. 49
d. 55

Explanation:

Step1: Order the data

First, we sort the given data set in ascending order: \(7, 8, 18, 26, 49, 55, 58, 62, 77, 91\)

Step2: Find the median position

Since there are \(n = 10\) (an even number) values, the median is the average of the \(\frac{n}{2}\)-th and \((\frac{n}{2}+ 1)\)-th values.
\(\frac{n}{2}=\frac{10}{2}=5\) and \(\frac{n}{2}+1 = 5 + 1=6\)

Step3: Identify the middle values

The 5th value in the ordered set is \(49\) and the 6th value is \(55\)

Step4: Calculate the median

The median is the average of these two values: \(\frac{49 + 55}{2}=\frac{104}{2}=52\)

Answer:

A. 52