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Aim: Frequency Tables/Stem-Leaf/Histograms Course: Math Literacy Do Now: Aim: How do we organize and interpret statistical data? Which task is not a component of an observational study? (1) The researcher decides who will make up the sample. (2) The researcher analyzes the data received from the sample. (3) The researcher gathers data from the sample, using surveys or taking measurements. (4) The researcher divides the sample into two groups, with one group acting as a control group.

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Aim: Frequency Tables/Stem-Leaf/Histograms Course: Math Literacy Recall: A teacher marked a set of 32 papers. The grades were as follows: 90, 85, 74, 86, 65, 62, 100, 95, 77, 82, 50, 83, 77, 93, 72, 98, 66, 45, 73, 100, 50, 89, 78, 70, 75, 95, 80, 78, 83, 81, 72, 75. Find the significant statistical measurements using the 1-var Stats option on the graphing calculator.

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Aim: Frequency Tables/Stem-Leaf/Histograms Course: Math Literacy Recall: Model Problem A teacher marked a set of 32 papers. The grades were as follows: 90, 85, 74, 86, 65, 62, 100, 95, 77, 82, 50, 83, 77, 93, 72, 98, 66, 45, 73, 100, 50, 89, 78, 70, 75, 95, 80, 78, 83, 81, 72, 75. STAT EDIT 1 STAT CALC 1 ENTER

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Aim: Frequency Tables/Stem-Leaf/Histograms Course: Math Literacy Stem-and-Leaf Plots Data - Test Scores: 90, 85, 74, 86, 65, 62, 100, 95, 77, 82, 50, 83, 77, 93, 72, 98, 66, 45, 73, 100, 50, 89, 78, 70, 75, 95, 80, 78, 83, 81, 72, = 55 Key: StemLeaf greatest stem to least ordered leafs – lowest to highest

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Aim: Frequency Tables/Stem-Leaf/Histograms Course: Math Literacy Stem-and-Leaf Plots Data - Johns Test Scores: 67, 82, 86, 82, 85, 84, 85, 93, 73, , 73, 82, 82, 82, 84, 84, 85, 85, = 55 Key: Data - Marcias Test Scores: 66, 84, 86, 88, 88, 94, 95, 95, 98, put in order – lowest to highest

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Aim: Frequency Tables/Stem-Leaf/Histograms Course: Math Literacy Stem-and-Leaf Plots 3rd type of graph representing data Data - Johns Test Scores: 67, 82, 86, 82, 85, 84, 85, 93, 73, 82 67, 73, 82, 82, 82, 84, 84, 85, 85, A stem-and-Leaf Plot rotated 1/4 turn counterclockwise gives us a general outline format for a histogram

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Aim: Frequency Tables/Stem-Leaf/Histograms Course: Math Literacy Histogram/Bar Graph A histogram is a bar graph that shows the frequency of occurrence FrequencyFrequency Data Results 1. Horizontal axis - data organized in intervals 2. Vertical axis - the frequency of occurrence 3. For each interval, bar drawn to height of frequency 4. No space between bars

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Aim: Frequency Tables/Stem-Leaf/Histograms Course: Math Literacy Model Problem Recall our previous Paper Grade problem: FrequencyFrequency Grades Histogram of Paper Grades

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Aim: Frequency Tables/Stem-Leaf/Histograms Course: Math Literacy TI Graphing 2ND Y= 1 Set WINDOW GRAPH & TRACE use right and left arrows to move thru intervals.

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Aim: Frequency Tables/Stem-Leaf/Histograms Course: Math Literacy Model Problem FrequencyFrequency Grades How many students scored better than 80? How many students scored 70 or less? A cumulative histogram makes it easier to answer such questions

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Aim: Frequency Tables/Stem-Leaf/Histograms Course: Math Literacy Cumulative Histogram FrequencyFrequency Grades How many students scored better than 80? How many students scored 70 or less? CumulatIveCumulatIve

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Aim: Frequency Tables/Stem-Leaf/Histograms Course: Math Literacy Cumulative Histogram Approximately what percent of students scored above 70? Grades % 75% 50% 25% 0% Cumulative Frequency Approximately What percent of students scored 100 or below?

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Aim: Frequency Tables/Stem-Leaf/Histograms Course: Math Literacy Model Problems FrequencyFrequency Answer the questions below based your interpretations of the histogram. Mileage (miles per gallon) for compact cars 1) In what interval is the greatest frequency found? 2) What is the number of cars reporting mileages between 28 and 31 miles? 3) What percent of cars reported mileages from 24 to 27 miles per gallon (to the nearest %)?

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Aim: Frequency Tables/Stem-Leaf/Histograms Course: Math Literacy Model Problem 240 students took a math test. The frequency table below shows the results. Draw a histogram representing the results. Test Scores FrequencyFrequency What is the modal interval?71-80 In what interval will you find the median? Median is average of the 120th and 121st values. Both are located in the interval.

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