Question

Median of 9, 18, 3, 11, 7, 6, 12, 2

Answer 1

Median = 8

Explanation:

Our task is to find the median of this set of data.

What is the median?

The median is the middle number of a set of data. Before finding the median, you should always make sure that the data you're working with has been arranged from the lowest number to the highest number. This is also known as "ascending order".

`\hspace{370}\above3`

Our set is not arranged that way, so let's arrange it.

9, 18, 3, 11, 7, 6, 12, 2

2, 3, 6, 7, 9, 11, 12, 18

We have 2 middle numbers: 7 and 9. So what we do is we average the two numbers:

`\sf{\cfrac{7+9}{2}}`

`\sf{\cfrac{16}{2}}`

`\sf{8}`

∴ Median = 8

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Answer 2

8

Explanation:

To find the median of a set of numbers, you first need to arrange them in ascending order (from smallest to largest). Then, if the number of elements in the set is odd, the median is the middle value. If the number of elements is even, the median is the average of the two middle values.

First, let's arrange the numbers in ascending order:

2, 3, 6, 7, 9, 11, 12, 18

Since there are 8 numbers in the set (an even number), the median will be the average of the two middle values:

Median = (7 + 9) / 2 = 16 / 2 = 8

So, the median of the numbers 9, 18, 3, 11, 7, 6, 12, 2 is 8.