Question

find median of first 6 digit?

Answer 1

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The median is the middle value in a data set that has been arranged from least to greatest or greatest to least.

Let’s look at an example:
(1, 3, 4, 2, 5)

This data set has 5 numbers in no particular order. To find the median, we first need to put them in order:
(1, 2, 3, 4, 5) or (5, 4, 3, 2, 1)

Notice we can order the data set from least to greatest or greatest to least. Either will allow us to solve for the median.

Since this data set has 5 numbers, our median will be the third number in the set.

(1, 2, 3, 4, 5)

So for this data set, 3 is my median.

Anytime you have a data set with an odd amount of values, the median is simply the middle value.

Now, let’s look at a data set with 6 values.

(2, 12, 10, 4, 6, 8)

This data set contains 6 values. First, we need to arrange them in order:

(2, 4, 6, 8, 10, 12)

Now, since there is an even number of values, there is no “middle” value. To find the median of 6 numbers (or any even amount) we need the middle two values.

(2, 4, 6, 8, 10, 12)

So for this data set, 6 and 8 are my middle two values.

Now, we have to find the mean of these two numbers.

To find the mean, we have to add the values together: 6 + 8 = 14

Then divide that number by the amount of values: 14 / 2 = 7

So for the data set (2, 4, 6, 8, 10, 12), our median would be 7.

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