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Washington State Math Olympiad Hints and Solutions 2008 Grade 8 Probability and Statistics
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Problem |
Hint |
1) There are two coins in a bag, one that has heads on both sides and one that is weighted so that heads comes up twice as often as tails. What are the odds of randomly selecting a coin out of the bag, flipping it, and having it land on tails?
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- The probability of getting the coin that has a tails is ______
- If you get the coin that has a tails, then the probability that you will get the tails is _____________
- The combined probability is __________
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2) A data set consists of seven different positive whole numbers. The mean of the data is 69. What
is the largest the median of the data could be?
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- To maximize the median, the one in the middle that has 3 numbers lower than it and 3 higher, you must minimize the numbers below it and you must maximize the numbers higher than it, too.
- The lowest the numbers below the median can be are ___, ___ and ___.
- The sum of all the numbers in the data set is _______
- The 4 higher numbers must sum to ______ and they must all be different which means they must differ from each other by 1.
- From this point, figure out what the 4 higher numbers are which will reveal what the highest value for the median must be:
The highest median is _____
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