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What is the median of these eight numbers? 1,2,2,3,6,6,8,9 Give your answer as a decimal.

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What is the median of these eight numbers?
1,2,2,3,6,6,8,9
Give your answer as a decimal.

What is the median of these eight numbers? 1,2,2,3,6,6,8,9 Give your answer as a decimal.

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CallumMaster · Tutor for 5 years

Answer

The median of these eight numbers is \(\frac{3 + 6}{2} = 4.5\).

Explain

## Step 1:<br />First, we need to ensure that the numbers are in ascending order. In this case, the numbers are already arranged in ascending order: \(1,2,2,3,6,6,8,9\).<br /><br />## Step 2:<br />Next, we need to find the middle number(s). Since there are eight numbers in this set, there are two middle numbers. The middle numbers are the fourth and fifth numbers in the set, which are \(3\) and \(6\).<br /><br />### The formula for finding the median of an even set of numbers is: <br />### \(\frac{{(n/2)^{th} \text{{ number }} + ((n/2)+1)^{th} \text{{ number }}}}{2}\)<br /><br />## Step 3:<br />Substitute the values into the formula and calculate the median.
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