A Closer Look at Histograms Sweet!
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1 LESSON 6 A Closer Look at Histograms Sweet! LEARNING OBJECTIVES Today I am: creating a bar graph and histogram of data about candy. So that I can: look at similarities and differences with these displays. I ll know I have it when I can: create and analyze histograms. Opening Reading Are candy bars getting smaller or do you just think they are? A poll of 500 people in the U.S. found that 48.3% of them believed that their favorite sweet treats were getting smaller. 1. Below is a table of four popular candy bars and their weight in grams over several decades. What patterns do you see? Decade KitKat Mars Snickers Hershey s Milk Chocolate Bar Twix grams 35 grams grams 46 grams grams 49 grams 45 grams 43 grams 60 grams grams 65 grams 62 grams 43 grams 60 grams grams 50 grams 58 grams 43 grams 58 grams grams 51 grams 48 grams 42 grams 50 grams Data source: 2. Why might candy bars be smaller now than they were decades ago? Cost less more profit inflation Health reasons 83
2 84 Module 1 Descriptive Statistics Opening Activity 3. The table below lists the number of grams of 12 candy bars. Use the table to complete the bar graph. Candy Name Number of Grams 3 Musketeers 51 Almond Joy 50 Butterfinger 45 Kit Kat 43 M&M s Peanut 47 Nestle Crunch 44 Reese s Pieces 55 Skittles 57 Snickers 57 Starburst 59 Twix Caramel 57 York Peppermint Pattie 43 LunaseeStudios/Shutterstock.com Source: 43,43 44,45 47,50 51,55 57, Use the same data to create a histogram. 5. Why might someone be interested in how many grams are in a single serving of each candy bar? so.io mean T IT TyMedlah w
3 Unit 1 Measuring Distributions Lesson 6 A Closer Look at Histograms Sweet! 85 Histograms have similar characteristics as other graphical representations. You can use the SOCS diagram we saw in Lesson 3 to describe histograms. 6. Use SOCS to describe the number of grams of the candy bars. S bimodal gap none C S either range
4 86 Module 1 Descriptive Statistics 7. A. For the histogram below, describe the distribution using SOCS. 13 S Leftskewed 0 Possible median S IQR B. Can we determine the original data from the graph? Explain. No C. How many students earned less than a 60% on their final? D. How many students took this final? E. Approximate the mean of the data. 8. Use the histogram at the right to answer the questions. A. How many cherry trees here between 70 and feet in height? the bins do notshow the actual data B. How many cherry trees were measured altogether? 6 39 ooo 65 left inclusive
5 Unit 1 Measuring Distributions Lesson 6 A Closer Look at Histograms Sweet! 87 C. Can we tell from this histogram what the minimum and maximum are? If yes, what are they? If not, explain. No D. Without calculating, what is an approximate mean for this data? around Mrs. Riederer gave her students a quiz out of 40 points. Their scores were: Create a histogram of the data. Then describe the data using SOCS. Quiz Scores for Mrs. Riederer s Class Score out of 40 points
6 88 Module 1 Descriptive Statistics 10. Write in the labels on the horizontal axis of the histogram in the summary below. Lesson Summary Here are the grams of fat in 12 candy bars: 1.5, 2.5, 5.5, 3, 4.5, 2.5, 7, 0, 0, 4.5, 2.5, 1.5 Intervals: Grams of Fat Frequency (counts) 0 x x x x x x x x What are differences and similarities in the bar graph and histogram you made in Exercise 4? List your ideas in the Venn diagram below. Unique to Bar Graphs Similarities Unique to Histograms
7 Unit 1 Measuring Distributions Lesson 6 A Closer Look at Histograms Sweet! 89 NAME: PERIOD: DATE: Homework Problem Set 1. A. Describe the distribution of the data in the histogram below. B. What specific information can you get from this graph? C. What could have been done to make this histogram easier to read?
8 90 Module 1 Descriptive Statistics 2. Use the data on candy bars data to create two histograms one on the number of calories and one on the grams of protein. Then describe the data in each distribution. Candy Name Number of Grams Calories Proteins in Grams 3 Musketeers Almond Joy Butterfinger Kit Kat M&M s Peanut Nestle Crunch Reese s Pieces Skittles Snickers Starburst Twix Caramel York Peppermint Pattie Source:
9 Unit 1 Measuring Distributions Lesson 6 A Closer Look at Histograms Sweet! 91 Number of Calories in One Serving with 12 Selected Candy Bars Number of Calories in 12 Selected Candy Bars Description Number of Grams of Protein in One Serving with 12 Selected Candy Bars Grams of protein in 12 Selected Candy Bars Description
10 92 Module 1 Descriptive Statistics Spiral REVIEW Solving Equations Solve each equation. 3. 4n 2n v 2v 5. 3 x 3 5x 6. x k 3k r 2r (x 2) 10. 3(4r 8) ( x 3) ( 6n 5)
A Closer Look at Histograms Sweet!
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