For the following list of data, calculate (a) the mean, (b) the median, and (c) the mode or modes (if any).
\[
137,139,151,135,151,140
\]
(a) The mean is 142.2 . (Round to the nearest tenth as needed.)
(b) The median is $\square$.
Answer
Final Answer: The median is \(\boxed{139.5}\).
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 \(\boxed{139.5}\).
