Video: Finding the Median of a Data Set

Find the median of the values 6, 8, 16, 6, and 19.

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Video Transcript

Find the median of the values six, eight, 16, six, and 19.

The median is the middle value of a set of data. In order to calculate the median of a small set of data, we follow two simple steps. Firstly, we put the numbers in ascending order. In this question, the order will be six, six, eight, 16, and 19. Our second step is to find the middle number or value. With a small data set, we can do this by crossing off numbers from either end. We begin by crossing off six and 19, the smallest and largest numbers. We then cross off six and 16. We are left with one number in the middle. Therefore, the median of the set of values is eight.

An alternative way of finding the median after putting the numbers in ascending order is to use a little rule or formula. The median position can be calculated using the formula 𝑛 plus one divided by two, where 𝑛 is the number of values. In this question, we have five numbers. Therefore, the median position can be calculated by adding five to one and then dividing by two. This is equal to three. The median number will therefore be the third number in the list. Counting the numbers from left to right in ascending order, we see that the third number is eight. Therefore, the median is eight.

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