Question Video: Finding the Median of a Data Set Mathematics • 6th Grade

Find the median of the values 20, 150, 320, 130, and 200.

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Video Transcript

Find the median of the values 20, 150, 320, 130, and 200.

So the median that we’re trying to find is actually the middle value. So when we look at our data set, we’re trying to find the value that’s gonna be in the middle. In order to find the median, we’re actually going to carry out a couple of steps.

The first step, step one, is to rewrite our values in numerical order. So first of all, we’re gonna have 20. And then our next value will be 130. And then the next will be 150, then 200, and finally 320.

So then, we move on to step two, which is find the middle value. And actually, we have a little formula to help us which is 𝑛 plus one divided by two, where 𝑛 is the number of values within our set of data. In this case, it’s quite straightforward because we’ve only got five bits of data. If you had a larger set of data, you’d need to use this.

And a tip to remember here is that if it is actually an even set of values, then you find the middle two values, you add them together, and then divide it by two and that will give you your median.

Okay, so in our set of data, it’s five plus one over two. So that’s six over two, which is three. So we wanna find the third value cause that’s going to be our median. So this is 150. So therefore, we can say that the median of the values 20, 150, 320, 130, and 200 is 150.

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