Question

question 14 of 25
what is the median of the following string of values?
51, 22, 17, 28, 98, 4, 24, 83, 9, 76

a. 28
b. 24
c. 22
d. 26

Explanation:

Step1: Order the values

First, we arrange the given values in ascending order: \(4, 9, 17, 22, 24, 28, 51, 76, 83, 98\).

Step2: Find the median position

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

Step3: Calculate the median

The 5th value is \(24\) and the 6th value is \(28\). The median is \(\frac{24 + 28}{2}=\frac{52}{2}=26\).

Answer:

D. 26