A data set is formed by recording the results of rolling a fair die 200 times. A second data set is formed by rolling a pair of dice 200 times each time recording the minimum of the two numbers. (A) Which of the two data sets would you expect to have the smaller standard deviation? Explain. (B) To obtain evidence for your answer to part (A), use a graphing calculator to simulate both experiments and compute the standard deviations of each data set.
A data set is formed by recording the results of rolling a fair die 200 times. A second data set is formed by rolling a pair of dice 200 times each time recording the minimum of the two numbers. (A) Which of the two data sets would you expect to have the smaller standard deviation? Explain. (B) To obtain evidence for your answer to part (A), use a graphing calculator to simulate both experiments and compute the standard deviations of each data set.
Solution Summary: The author explains how to calculate the linear standard deviation of the provided data using online graphing utility.
A data set is formed by recording the results of rolling a fair die
200
times. A second data set is formed by rolling a pair of dice
200
times each time recording the minimum of the two numbers.
(A) Which of the two data sets would you expect to have the smaller standard deviation? Explain.
(B) To obtain evidence for your answer to part (A), use a graphing calculator to simulate both experiments and compute the standard deviations of each data set.
A Problem Solving Approach to Mathematics for Elementary School Teachers (12th Edition)
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Hypothesis Testing and Confidence Intervals (FRM Part 1 – Book 2 – Chapter 5); Author: Analystprep;https://www.youtube.com/watch?v=vth3yZIUlGQ;License: Standard YouTube License, CC-BY