Step 1 :First, we need to sort the list of numbers in ascending order. The list is [137,139,151,135,151,140].
Step 2 :After sorting, the list becomes [135, 137, 139, 140, 151, 151].
Step 3 :Since the list has an even number of observations, the median is the average of the two middle values.
Step 4 :The two middle values are 139 and 140.
Step 5 :To find the median, we calculate the average of these two numbers. The formula for the average is \((139 + 140) / 2\).
Step 6 :Calculating the average gives us 139.5.
Step 7 :Final Answer: The median is \(\boxed{139.5}\).