Question

find the median for the set of numbers. 168, 156, 172, 176, 151, 155 the median is

Explanation:

Step1: Arrange numbers in ascending order

$151, 155, 156, 168, 172, 176$

Step2: Determine the middle - value position

Since there are $n = 6$ numbers (an even number of data points), the median is the average of the $\frac{n}{2}$ - th and $(\frac{n}{2}+ 1)$ - th ordered values. $\frac{n}{2}=\frac{6}{2}=3$ and $\frac{n}{2}+1 = 4$.

Step3: Calculate the median

Median=$\frac{156 + 168}{2}=\frac{324}{2}=162$

Answer:

$162$