Difference between revisions of "2015 AMC 8 Problems/Problem 5"
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\textbf{(E) } \text{mid-range} | \textbf{(E) } \text{mid-range} | ||
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− | ===Solution=== | + | |
+ | ==Solutions== | ||
+ | ===Solution 1=== | ||
When they score a <math>40</math> on the next game, the range increases from <math>73-42=31</math> to <math>73-40=33</math>. This means the <math>\boxed{\textbf{(A) } \text{range}}</math> increased. | When they score a <math>40</math> on the next game, the range increases from <math>73-42=31</math> to <math>73-40=33</math>. This means the <math>\boxed{\textbf{(A) } \text{range}}</math> increased. | ||
− | ==Solution 2== | + | ===Solution 2=== |
Because <math>40</math> 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 <math>\boxed{\textbf{(A)}~\text{range}}</math>, may increase. | Because <math>40</math> 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 <math>\boxed{\textbf{(A)}~\text{range}}</math>, may increase. |
Revision as of 15:50, 16 January 2021
Billy's basketball team scored the following points over the course of the first 11 games of the season: If his team scores 40 in the 12th game, which of the following statistics will show an increase?
Solutions
Solution 1
When they score a on the next game, the range increases from to . This means the increased.
Solution 2
Because 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 , may increase.
2015 AMC 8 (Problems • Answer Key • Resources) | ||
Preceded by Problem 4 |
Followed by Problem 6 | |
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All AJHSME/AMC 8 Problems and Solutions |
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