Question

What is the median of 98, 99, 100, 90, 98, 100?

Answer 1

Given Numbers:-

• 98, 99, 100, 90, 98, 100

To Find:-

• Median

Solution:-

Let us place the data in ascending order (smallest to largest)-

`\longrightarrow`90 ,98 ,98 ,99 ,100 ,100

Since the given data has even set of numbers, we will have to find two numbers in the middle-

`\longrightarrow` 90, 98, 98 ,99 ,100 ,100

Add the two middle numbers and then divide by two, to get the average,which is our median:-

`\begin{gathered}\\\implies\quad \sf 98+99 = 197\\\end{gathered}`

`\begin{gathered}\\\implies\quad \sf 197/2 = 98.5 \\\end{gathered}`

`\leadsto`Thus the median of given set of data is 98.5

Note - In case of odd sets of numbers, there is only one middle term which is median.