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4-22-13 Histograms EQ: What conclusions can be drawn from a histogram? What can a histogram tell you about the spread of a data set? DWP - Mr. Adams had.

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Presentation on theme: "4-22-13 Histograms EQ: What conclusions can be drawn from a histogram? What can a histogram tell you about the spread of a data set? DWP - Mr. Adams had."— Presentation transcript:

1 Histograms EQ: What conclusions can be drawn from a histogram? What can a histogram tell you about the spread of a data set? DWP - Mr. Adams had 24 guests at his house for a party. Each guest brought one item. One-third of the guests brought drinks. One-fourth of the guests brought a dessert. The rest of the guests brought chips. How many guests brought chips? BOP

2 DWP - Mr. Adams had 24 guests at his house for a party. Each guest brought one item. One-third of the guests brought drinks. One-fourth of the guests brought a dessert. The rest of the guests brought chips. How many guests brought chips?

3 Concept/Vocabulary WordDefinition Clustera group of things or persons close togetherclose DistributionThe arrangement of values in a data set Frequency Table A list of items or intervals that shows the number of times, or frequency, with which they occur. Gapa break or opening Histogram A display that shows the distribution of numeric data. The range of data values, divided into intervals, is displayed on the horizontal axis. The vertical axis shows frequency. interval is a set of real numbers with the property that any number that lies between two numbers in the set is also included in the set Peak being at the point of maximum frequency, intensity, use, etc.

4 Hundreds of different languages are spoken around the world. The graph shows the numbers of native speakers of four languages. A bar graph can be used to display and compare data. The scale of a bar graph should include all the data values and be easily divided into equal intervals.

5 A histogram is a bar graph that shows the frequency of data within equal intervals. There is no space between the bars in a histogram. Follow these steps to make a histogram: Step 1: Make a frequency table of the data. Be sure to use equal intervals. Step 2: Choose an appropriate scale and interval for the vertical axis. The greatest value on the scale should be at least as great as the greatest frequency. Step 3: Draw a bar graph for each interval. The height of the bar is the frequency for that interval. Bars must touch but not overlap. Step 4: Label the axes and give the graph a title. PUT THESE STEPS IN YOUR STUDY GUIDE!

6 The table below shows the number of hours students watch TV in one week. Make a histogram of the data. Example 3: Making a Histogram Step 1: Make a frequency table of the data. Be sure to use equal intervals. Course Bar Graphs and Histograms 6 /// 7 //// //// 8 /// 9 //// 1 // 2 //// 3 //// //// 4 //// / 5 //// /// Number of Hours of TV 1–3 Frequency Number of Hours of TV 15 4–6 17 7–9 17

7 Example 3 Continued Step 2: Choose an appropriate scale and interval for the vertical axis. The greatest value on the scale should be at least as great as the greatest frequency. Course Bar Graphs and Histograms 1–3 Frequency Number of Hours of TV 15 4–6 17 7–

8 Example 3 Continued Step 3: Draw a bar graph for each interval. The height of the bar is the frequency for that interval. Bars must touch but not overlap. Course Bar Graphs and Histograms 1–3 Frequency Number of Hours of TV 15 4–6 17 7–

9 Additional Example 3 Continued Step 4: Label the axes and give the graph a title. Course Bar Graphs and Histograms 1–3 Frequency Number of Hours of TV 15 4–6 17 7– –3 4–6 7–9 Hours of Television Watched Frequency Hours

10 Follow the steps to create a histogram. Mrs. Pittman gave her class a history test. The class of 16 students had the following scores: 75, 80, 65, 80, 95, 85, 65, 80, 90, 80, 70, 85, 90, 70, 85, 70 Construct A Histogram PUT FINAL GRAPH IN YOUR STUDY GUIDE!

11 Step 1 - Make a Frequency Table Grade range Frequency Step 2: Choose an appropriate scale and interval for the vertical axis. The greatest value on the scale should be at least as great as the greatest frequency.

12 Step 3: Draw a bar graph for each interval. The height of the bar is the frequency for that interval. Bars must touch but not overlap. Step 4: Label the axes and give the graph a title.

13 The graph below shows the results of a survey of 390 families. How many of the families in the survey have more than three children? A. 120 B. 130 C. 140 D. 260

14 The graph below shows the results of a survey of 390 families.survey B. 130

15 CC Investigation Grade Six Page 53 #13-15 Holt Course 2 Lesson 1-4 Practice

16 CC Investigations 1.Basketball Tournament The table shows the winning scores in the first round of the basketball tournament On a separate sheet of paper, construct frequency tables and histograms for the following problems. Turn in for a class work grade.

17 1.What are the greatest and least winning scores? 2.Divide the range of the data into equal intervals that will be represented by bars on the histogram. Give the range for each interval. 3.Explain why you chose that number of intervals. 4.Make a table to show the frequency of scores in each interval. 5. Make a histogram of the data. Draw a bar for each interval to represent the frequency. 6. Summarize what the histogram show about the data.

18 2. Ages of mall shoppers Class grades on a history exam

19 4. Weights of pumpkins in lbs

20 Answers for basketball tournament 1.100; , 61-70, 71-80, 81-90, Five intervals divides the data into enough groups without making a histogram that is too large. 4. IntervalFrequency

21 What are the SIMILARITIES and DIFFERENCES between bar graphs and histograms? EXIT TICKET

22 EXIT TICKET: What are the SIMILARITIES and DIFFERENCES between bar graphs and histograms? Homework: Correct all problems on geometry handouts completed in class last week. It was checked on Friday for a class work grade. Make all corrections on a separate sheet of paper. Staple corrections to the top of the original papers. All corrections are due on Wednesday.

23 Did you note this information in your chart? The difference is that a bar graph represents individual pieces of data where the histogram represents intervals of data. The bar graph usually has spaces between the bars where the histogram has the bars adjacent to each other. Both should have a title, the labels for the axes, and scale for the axes. The difference is that a bar graph represents individual pieces of data where the histogram represents intervals of data. The bar graph usually has spaces between the bars where the histogram has the bars adjacent to each other. Both should have a title, the labels for the axes, and scale for the axes. Complete workbook page 4


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