1 / 30

Statistics

Statistics. Study of the collection, organization, analysis, interpretation and presentation of data We use statistics to analyze and present data from research. Warm-up. Find the Mean, Median and Mode of the following data: 2,3,4,5,6,4,2,7,8,9,4,5,7,5,2. Essential Question.

elin
Download Presentation

Statistics

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Statistics • Study of the collection, organization, analysis, interpretation and presentation of data • We use statistics to analyze and present data from research

  2. Warm-up • Find the Mean, Median and Mode of the following data: 2,3,4,5,6,4,2,7,8,9,4,5,7,5,2

  3. Essential Question • How can we use graphs and tables to effectively represent data?

  4. Histograms • Histograms are used to organize and interpret data. • Histograms are often used with frequency tables to give a more visual view of the data. • Each bar represents an interval that contains data. • The height of the bar indicates the frequency of the data.

  5. Create a frequency table. • A professional football team scored the following number of points in games last season. Create a frequency table that reflects this information. • 17, 24, 13, 16, 34, 38, 27, 13, 24, 13, 7, 0, 13, 10, 14, 0, 26, 23, 31, 7 • First decide what intervals to use in your frequency table.

  6. Create a frequency table. A professional football team scored the following number of points in games last season. Create a frequency table that reflects this information. 17, 24, 13, 16, 34, 38, 27, 13, 24, 13, 7, 0, 13, 10, 14, 0, 26, 23, 31, 7 First decide what intervals to use in your frequency table.

  7. Build the histogram. Use the frequency table to help build the histogram. 17, 24, 13, 16, 34, 38, 27, 13, 24, 13, 7, 0, 13, 10, 14, 0, 26, 23, 31, 7

  8. Build the histogram. Use the frequency table to help build the histogram. 17, 24, 13, 16, 34, 38, 27, 13, 24, 13, 7, 0, 13, 10, 14, 0, 26, 23, 31, 7

  9. Which histogram matches the data listed below? • The mothers’ ages of students in Mrs. Washington’s kindergarten class are listed below. • 27, 34, 44, 29, 29, 26, 28, 28, 32, 35, 37, 33, 28, 39, 38 • a. b. • c. d.

  10. Box-and-Whisker Plot Vocabulary • Median – The middle number of a set of data. • Upper Quartile – The median of the data values that are greater than the median of the total data set. • Lower Quartile – The median of the data values that are less than the median of the total data set. • Upper/Lower Extreme – The highest and lowest numbers in a set of data.

  11. Box-and-Whisker Plot Practice Make a box-and-whisker plot using the following set of data: 1, 6, 10, 4, 2, 8, 15, 6, 3 Step #1: Put the numbers in order from least to greatest: 1, 2, 3, 4, 6, 6, 8, 10, 15 Step #2: Create a number line…that extends beyond the upper/lower extremes. Step #3: Find the Median…draw a line above the median on the number line. Step #4: Find the Upper Quartile…draw a line above the upper quartile. Step #5: Find the Lower Quartile…draw a line above the lower quartile. Step #6: Create a box (a rectangle) above the number line with the upper and lower quartiles as two of the sides. Step #7: Create whiskers (straight lines) that extend from the box to the upper and lower extremes.

  12. Box-and-Whisker Plot Practice There are 12 people are in a Habanera Pepper eating contest who ate the following amount of peppers: 4, 4, 4, 9, 15, 2, 5, 0, 10, 12, 1, 18 Put the numbers in order from least to greatest: 0, 1, 2, 4, 4, 4, 5, 9, 10, 12, 15, 18 BELOW THE MEDIAN (4.5) ABOVE THE MEDIAN (4.5) Discussion Question: Why are all of the Boxes and Whiskers different sizes?

  13. _____% _____% _____% _____% Analyzing a Box-and-Whisker Plot 25% 25% 25% 25% 50% 50%

  14. How to find the: Inter-Quartile Range • Inter-Quartile Range – the difference between the upper and lower quartile of a set of data. • Inter-Quartile Range = Upper Quartile – Lower Quartile Show where you could find the inter-quartile range on the box-and-whisker plot below: INTER-QUARTILE RANGE

  15. Definition A data display in which each data item is shown as a dot above a number line In a dot plot a cluster shows where a group of data points fall. A gap is an interval where there are no data items.

  16. How to Make a Dot Plot Video

  17. Steps to Create a Dot Plot Order numbers from least to greatest. Draw a number line. Label the number line with the minimum and the maximum then all the numbers that fall between them. Put a dot above each number on the number line for each data entry in your set. Don’t forget a title and labels!

  18. You try it! • In an airline training program, the students are given a test in which they are given a set of tasks and the time it takes them to complete the tasks is measured. The following is a list of the time (in seconds) for a group of new trainees. 61, 61, 64, 67, 70, 71, 71, 71, 72, 73, 74, 74, 75, 77, 79, 80, 81, 81, 83 Display the data in a dot plot.

  19. Answer! 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 Airline Training Program Test New Trainees = 1 person Time in Seconds

  20. Are there any clusters? Yes! 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 Airline Training Program Test New Trainees = 1 person Time in Seconds

  21. Are there any gaps? Yes! 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 Airline Training Program Test New Trainees = 1 person Time in Seconds

  22. What is the average time? About 73 seconds 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 Airline Training Program Test New Trainees = 1 person Time in Seconds

  23. What is the median time? 73 seconds 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 Airline Training Program Test New Trainees = 1 person Time in Seconds

  24. What is the Mode? 71 seconds 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 Airline Training Program Test New Trainees = 1 person Time in Seconds

  25. What is the Range? 22 seconds 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 Airline Training Program Test New Trainees = 1 person Time in Seconds

  26. Stem-and-Leaf Plot • Uses place value to organize data • Shows data in an organized way so it can be analyzed easily • Organizes data so it is easier to find the median, mode, and range

  27. Here are the scores for a freshman basketball team • Here is the same data organized into a stem-and-leaf plot.

  28. Can you tell how the stem-and-leaf plot was made? The first number in the data is 27. Here is the 2 in the tens place. Here is the 7 in the ones place.

  29. The key shows us which place value the digits represent.

  30. MAKE YOUR OWN • On a sheet of Paper, Make all FIVE GRAPHS using the following data Here are the marks gained by 30 students in an examination: 63 58 61 52 59 65 69 75 70 54 57 63 76 81 64 68 59 40 65 74 80 44 47 53 70 81 68 49 57 61

More Related