there are two bags each containing 50 marbles. In one of the bags, 80% of the marbles are red and 20% are black. In the other bag 40% of the marbles are red and 60% are black. students took random samples of 10 marbles from each bag (replacing the marbles after every sample) and made the dot plots shown next. for each of the following questions answer the question (to the extent possible) and determine the graph reading level of the question. explain your reasoning. a. how many random samples were taken from bag 1? how many random samples were taken from bag 2? b. from which bag were more random samples that contained exactly 5 red marbles taken? c. did any of the random samples have exactly 8 black marbles? d. how many random samples from bag 1 had exactly 8 red marbles? how many random samples from bag 2 had exactly 8 red marbles? e. what percent of the random samples from bag 1 had between 30% and 50% red marbles? what percent of the random samples from bag 20 had between 30% and 50% red marbles? f. what percent of the random samples from bag 1 had between 70% and 90% red marbles? what percent of of the random samples from bag 2 had between 70% and 90% red marbles. g. which bag is more likely to be the one with 40% red marbles and which bag is likely to be the one with 80% red marbles? why? h. a third bag of 50 marbles contains 50% red marbles and 50% black marbles. if students take random samples of 10 marbles from that bag, how do you think a dot plot for those random samples would compare to the dot plots for bags 1 and 2?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.2: Representing Data
Problem 5GP
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there are two bags each containing 50 marbles. In one of the bags, 80% of the marbles are red and 20% are black. In the other bag 40% of the marbles are red and 60% are black. students took random samples of 10 marbles from each bag (replacing the marbles after every sample) and made the dot plots shown next. for each of the following questions answer the question (to the extent possible) and determine the graph reading level of the question. explain your reasoning. a. how many random samples were taken from bag 1? how many random samples were taken from bag 2? b. from which bag were more random samples that contained exactly 5 red marbles taken? c. did any of the random samples have exactly 8 black marbles? d. how many random samples from bag 1 had exactly 8 red marbles? how many random samples from bag 2 had exactly 8 red marbles? e. what percent of the random samples from bag 1 had between 30% and 50% red marbles? what percent of the random samples from bag 20 had between 30% and 50% red marbles? f. what percent of the random samples from bag 1 had between 70% and 90% red marbles? what percent of of the random samples from bag 2 had between 70% and 90% red marbles. g. which bag is more likely to be the one with 40% red marbles and which bag is likely to be the one with 80% red marbles? why? h. a third bag of 50 marbles contains 50% red marbles and 50% black marbles. if students take random samples of 10 marbles from that bag, how do you think a dot plot for those random samples would compare to the dot plots for bags 1 and 2?

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