Difference between revisions of "2015 AMC 8 Problems/Problem 5"

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<cmath>42, 47, 53, 53, 58, 58, 58, 61, 64, 65, 73</cmath>
 
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If his team scores 40 in the 12th game, which of the following statistics will show an increase?
 
If his team scores 40 in the 12th game, which of the following statistics will show an increase?
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==Very Important Notice!==
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We are on problem 5! 5 for 5 Paragraph! Now go do you're 5 Paragraph or you'll get a referral to the Vice Principal. Then you will get even more referral!
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-A true Quote from Mr.Ghori, 7th Grade Math Teacher.
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Revision as of 23:23, 27 October 2016

Billy's basketball team scored the following points over the course of the first 11 games of the season: \[42, 47, 53, 53, 58, 58, 58, 61, 64, 65, 73\] If his team scores 40 in the 12th game, which of the following statistics will show an increase?


Very Important Notice!

We are on problem 5! 5 for 5 Paragraph! Now go do you're 5 Paragraph or you'll get a referral to the Vice Principal. Then you will get even more referral!

-A true Quote from Mr.Ghori, 7th Grade Math Teacher.


$\textbf{(A) } \text{range} \qquad \textbf{(B) } \text{median} \qquad \textbf{(C) } \text{mean} \qquad \textbf{(D) } \text{mode} \qquad \textbf{(E) } \text{mid-range}$

Solution

When they score a $40$ on the next game, the range increases from $73-42=31$ to $73-40=33$. This means the $\boxed{\textbf{(A) } \text{range}}$ increased.

Solution 2

Because $40$ is less than the score of every game they've played so far, the measures of center will never rise. Only measures of spread, such as the $\boxed{\textbf{(A)}~\text{range}}$, may increase.

2015 AMC 8 (ProblemsAnswer KeyResources)
Preceded by
Problem 4
Followed by
Problem 6
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25
All AJHSME/AMC 8 Problems and Solutions

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