# Math Makes Sense 5 Homework Book You see that most of the players scored points that started with a 0. Then a few more scored points that started with a 1.

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And then made a stem-and-leaf plot to show the data. Understand we have 0, 1, 2 under leaf you have all of these digits here. And once again, what was useful about this, is you see how many players scored between 0 and 9 points, including 9 points.

How does this relate to the number of points each student, or each player, actually scored? How many scored between 10 and 19 points, and then how many scored 20 points or over. But let's actually answer the question that they're asking us to answer. So here we just have to add up all of these numbers right over here. 8, 11, 11, 12, 13, 22, 29, 29, and then 29, 36, 40, and 42.

And the way to interpret a stem-and-leaf plot is the leafs contain-- at least the way that this statistician used it-- the leaf contains the smallest digit, or the ones digit, in the number of points that each player scored. And usually the leaf will contain the rightmost digit, or the ones digit, and then the stem will contain all of the other digits. And then finally, you have this player that has the tens digit is a 2. So we're going to add up, I'll start with the largest, so 20 plus 18 plus 13 plus 11 plus 11-- 13, 11, 11-- plus 9 plus 7 plus 7 again plus 4 plus 2. We have two 11's, then a 9, then two 7's, then a 4 then a 2, and then these two characters didn't score anything. So 0 plus 8 is 8, plus 3 is 11, plus 1 is 12, plus 1 is 13, plus 9 is 22, plus 7 is 27, 34, 38, 40. Looks like I actually might have messed-- let me do that one more time.

And what's useful about this is it gives kind of a distribution of where the players were.

This is going to be equal to-- in the numerator, we just multiply the numerators. And in the denominator, we just multiply the denominator. And so the numerator is going to be 8, and the denominator is going to be 15. 8 and 15 don't have any factors common to each other, than 1, so this is what it is.

Which I could do a little bit better job making those equal, or at least closer to looking equal. This player right here had a 2 in his ones digit, so he scored a total of 2 points. And then, let me see, I'm almost using all the colors, this player had 9 for his ones digit. This player, let me do orange, this player had 4 for his ones digit. So the way to read this is, you had one player with 0 points. But you can see, and it's kind of silly saying the zero was a tens digit, you could have even put a blank there. This player, let me do orange, this player has 3 in the ones place. But the 0 lets us know that they didn't score anything in the tens place. But these are the actual scores for those seven players. So the 4 in the number 5,634, that's literally in the ones place. Now, the 4 in the number 12,749, that 4 is in the tens place. So this 4, it's a 10 times smaller value than this 4. This 4 right over here represents 4, while this represents 40. It literally represents 70,000, 7 ten thousands, or 70,000, while this represents 700 thousands, or 700,000. Or another way of thinking, it's 10 times less. So the value of the second 7 is 10 times less than the value of the first 7. All right, so 25,430 is 10 times larger than 2,543. In the number 3,779,264, how many times less is the value of the second 7 than the value of the first 7? Now, finally, we're going to take 25,430 and divide it by 2,543. In 25,430, they're one place to the left of the digits right over here.I never needed anyone to do my homework for me until I got a part-time job in college.Literally, you take this, you multiply it by 10, you're going to get 25,430. The digits in 25,430 are one place to the blank of the digits in the number 2,543.

## Comments Math Makes Sense 5 Homework Book

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