Question

the number of runs a baseball team scored each game are the following: 7, 3, 6, 4, 5, 8 find the median. 5 6 5.5 6.5

Explanation:

Step1: Order the data

First, we need to arrange the given data set \(7, 3, 6, 4, 5, 8\) in ascending order.
Sorting the numbers: \(3, 4, 5, 6, 7, 8\).

Step2: Find the median position

The formula to find the position of the median for a data set with \(n\) values is:

• If \(n\) is odd, the median is the value at the position \(\frac{n + 1}{2}\).
• If \(n\) is even, the median is the average of the values at positions \(\frac{n}{2}\) and \(\frac{n}{2}+ 1\).

Here, \(n = 6\) (which is even). So we need to find the values at positions \(\frac{6}{2}=3\) and \(\frac{6}{2}+ 1 = 4\).

Step3: Identify the values and calculate the median

From the ordered data set \(3, 4, 5, 6, 7, 8\):

• The value at position \(3\) is \(5\).
• The value at position \(4\) is \(6\).

The median is the average of these two values: \(\frac{5 + 6}{2}=\frac{11}{2}=5.5\).

Answer:

\(5.5\)