P.O.D. #6

1. If you hear a voice within you say “you cannot paint,” then by all means paint and that voice will be silenced. –Vincent Van Gogh

2. P.O.D. #6 basic advanced Use a box-and-whisker plot to represent the following set of data. (This is the same data as yesterday’s POD.) Use a box-and-whisker plot to represent the following set of data. (This is the same data as yesterday’s POD.) {3, 5, 1, 9, 2, 4, 3, 3, 6, 11, 12} {1, 2, 5, 9, 2, 4, 3, 3, 6, 11, 12, 8} 1, 2, 3, 3, 3, 4, 5, 6, 9, 11, 12 1, 2, 2, 3, 3, 4, 5, 6, 8, 9, 11, 12 Min = Q1 = Q2 = Q3 = Max = 1 3 4 9 12 Min = Q1 = Q2 = Q3 = Max = 1 2.5 4.5 8.5 12

3. Selecting an Appropriate Data Display

4. Bar Graph Show the number of items in specific categories • Categories on horizontal axis • Quantity on vertical axis • Space separating the bars

5. Box-and-Whisker Plot Show measures of variation for a set of data • Should be drawn above the number line • Used for numerical data

6. Circle Graph Compare parts of the data to the whole • Used for categorical data • Percentages must add up to 100%

7. Double Bar Graph Compare two sets of categorical data • Categories on horizontal axis • Quantity on vertical axis • Space separating pairs of bars

8. Histogram Show frequency of data divided into equal intervals • Intervals on horizontal axis • Quantity on vertical axis • No space between bars • Used for numerical data

9. Line Graph Show change over a period of time • Time on horizontal axis • Quantity on vertical axis • A line connects each data point to the next data point

10. Line Plot Show frequency of data with a number line • Draw a dot or “x” above the line for each piece of data. • Used for numerical data

11. Example: Select an appropriate display to show the number of boys of different age ranges that participate in athletics Intervals Quantity Histogram • x-axis = age ranges • y-axis = number of boys

12. Example: Select an appropriate display to show the percent of students in each grade at a middle school. Part of a whole Circle Graph • Each section is one of the grades at the middle school

13. Example: The number of home runs hit by each player on a high school baseball team is shown in the list below. Select an appropriate display to show the frequency of data. Number of Home Runs: 10, 15, 5, 10, 12, 5, 12, 12, 4, 5, 10, 7. Numerical Data Line Plot • Number line = home runs

14. Example: Select an appropriate display to show the median age of member in a community band. Measure of Variation Box-and-Whisker Plot • Number line = ages

15. Example: Select an appropriate display to show the number of people who have different kinds of pets. Quantity Categories Bar Graph • x-axis = categories • y-axis = number of people

16. 2 sets of data Example: Select an appropriate display to compare the number of men versus women that chose specific careers. Quantity Categories Double Bar Graph • x-axis = career choices • y-axis = number of people

17. Example: Select an appropriate display to show the resale value of a person’s car over time. Change over time Line Graph • x-axis = time (years) • y-axis = value of car