Do this with your eyes closed no peeking calculate

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DO THIS WITH YOUR EYES CLOSED! NO PEEKING! Calculate the percentage of orange M&Ms in your sample: __________ Record the class data using the following chart: II. Organizing the Data: Organize the data in a meaningful way. Title: ___________________________________ Can you summarize the class data using a basic numeric measure? Everything I Ever Wanted to Know about AP Statistics I Learned From a Bag of m&m’s 5
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III. Displaying the Data: Display the data using a dot plot. Title: ___________________________________ 4% 8% 12% 16% 20% 24% 28% 32% 36% 40% 44% 48% IV. Analyzing the Data: Describe some general features of the data. What would you consider a “normal” or “typical” percentage of orange M&Ms? Why? Does our data reveal the true percentage of orange M&Ms? If so, what is the true percentage? If not, what DOES it reveal about the true percentage? Conclusion? How confident are you in your conclusion? Why? Everything I Ever Wanted to Know about AP Statistics I Learned From a Bag of m&m’s 6
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Mean and Standard Deviation After students have mastered constructing and interpreting the shape, outliers, center, and spread of a distribution, they are ready to add numeric summaries to their exploratory data analysis. We can use 1.69 oz bags of m&m’s to introduce/reinforce the concepts of mean and standard deviation. Materials Needed: • Ten 1.69 oz bags of m&m’s. • Scale - check with your Science department. • Data Collection and Calculation Table - one per student. Activity: Review data displays and interpretations of center and spread. If a bag advertises 1.69 oz, does that mean we are guaranteed 1.69 oz of m&m’s? What is a typical actual weight? How can we calculate the typical weight found in a bag? What if the weights differ between bags? Discuss variability. How can we describe the variability from bag to bag? Introduce the concepts of mean and standard deviation. Carefully weigh the contents of ten bags of m&m’s. Record each bag’s weight in the table on an overhead. Display the weights on a dotplot on the board and calculate the average weight. Note this on the dotplot and discuss its relative location Discuss the variability of the recorded weights and note the distances/deviations from the mean weight on the dotplot. How can we calculate a ‘standard’ measure of this distance? Using the Standard Deviation Calculation Table, illustrate the computation of the standard deviation. Discuss ‘deviation’, ‘squared deviation’, their sums, etc. as you calculate the measure. Extension: How else could we describe center and spread? Discuss and illustrate median, quartiles, range, and interquartile range. Determine min, Q1, Q2, Q3, and max and display data with a boxplot. Note how each measure of the 5-number summary is shown on this display. Everything I Ever Wanted to Know about AP Statistics I Learned From a Bag of m&m’s 7
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