Question

Mia has three number cards. She uses all three cards to make different 3-digit numbers.

What is the mean of all the different numbers Mia can make in this way?

Answer 1

333

Explanation:

Typically, I would solve a combination problem algebraically/ with factorials, but there really aren't many combinations possible here.

In fact, I will list them:

234

243

324

342

423

432

so, because there are only 6 possible combinations, we can solve for the mean of the possibilities easily!

the "mean" of a data set is what you probably think of as the average. To find this value, we add all the values in the data set together and divide by the number of values we put in.

For example, the mean (average) of the following data set:

1, 2, 3, 3, 4, 5, 8

(1 + 2 + 3 + 3 + 3 + 4 + 5 = 21 {divide by 7 because we put seven numbers together} 21 / 7 = 3. So, the mean of this data set is 3)

So, let's find our data set's mean:

First, we need to find the sum of our values:

234 + 243 + 324 + 342 + 423 + 432 = 1998

And because we added six numbers together, we need to divide the sum (1998) by 6: 1998 / 6 = 333

So, we know that the mean of this data set is 333.

Hope this helps!! :)