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Math Quiz -Statistics and Probability

Covering: mean, median, mode, range, standard deviation, data interpretation through graphs and charts, and basic probability, including compound events and independent events.

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1. A bag contains 6 red marbles, 4 blue marbles, and 10 green marbles. If a marble is drawn from the bag without looking and then replaced, what is the probability of drawing a red marble twice in a row?

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2. A box contains 5 red balls, 3 blue balls, and 2 yellow balls. If a ball is chosen randomly and then replaced before a second ball is chosen, what is the probability of choosing a red ball followed by a yellow ball?

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3. A pair of unbiased dice are thrown. What is the probability of getting a total of 8 from the two dice?

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4. Eight friends each scored a different number of points in a game. Their scores were 15, 18, 20, 22, 25, 28, 30, and 34. What is the mean score?

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5. In a class of 30 students, the average score on a math test is 80. If the highest score in the class is 100 and the lowest score is 50, what is the range of the scores?

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