Arrange the data in order. With an odd number of observations, take the middle value. With an even n

Question

Arrange the data in order. With an odd number of observations, take the middle value. With an even number, take the mean of the two middle values.

Number of Data is Odd

Number of Data is Even

Find the median of the following set of data.

${2 \qquad 2 \qquad 6 \qquad 7 \qquad 8 \qquad 8 \qquad 11}$

Find the median of the following set of data.

${3 \qquad 4 \qquad 6 \qquad 6 \qquad 9 \qquad 10 \qquad 11 \qquad 11}$

For odd $n$, the median is at position $(n+1)/2$. For even $n$, average the values at positions $n/2$ and $n/2+1$.

Accepted Answer

Odd example: $7$. Even example: $7.5$.

Finding Median