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What is the median? $\newline$ $6, 1, 3, 6, 2, 10, 8, 0, 9, 9$ $\newline$ _____

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Mean, median, mode, and range

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Q. What is the median?

\newline

6, 1, 3, 6, 2, 10, 8, 0, 9, 9

\newline

_____

Arrange Data in Ascending Order: First, we need to arrange the data set in ascending order to find the median. $\newline$ Data set: $6, 1, 3, 6, 2, 10, 8, 0, 9, 9$ $\newline$ Arranged in ascending order: $0, 1, 2, 3, 6, 6, 8, 9, 9, 10$
Determine Number of Data Points: Next, we determine the number of data points in the set to see if the median will be a single number or the average of two numbers. $\newline$ There are $10$ numbers in the data set, which is an even number.
Calculate Median: Since there is an even number of data points, the median will be the average of the two middle numbers. The two middle numbers are the $5^{\text{th}}$ and $6^{\text{th}}$ numbers in the ordered set. In our ordered set, the $5^{\text{th}}$ number is $6$ and the $6^{\text{th}}$ number is also $6$ .
Calculate Median: Since there is an even number of data points, the median will be the average of the two middle numbers. The two middle numbers are the $5^{\text{th}}$ and $6^{\text{th}}$ numbers in the ordered set. In our ordered set, the $5^{\text{th}}$ number is $6$ and the $6^{\text{th}}$ number is also $6$ .Now, we calculate the average of the two middle numbers to find the median. Average of $5^{\text{th}}$ and $6^{\text{th}}$ numbers: $(6 + 6) / 2 = 12 / 2 = 6$

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