9.4 Displays of Data Essential Question: How can you display data to help you make decisions?

Shows data in specific categories bar graph: Shows data in specific categories Ex: Number of students taking each college class

double bar graph: Compares data from within categories Use different colors to show urban and rural speed limits. 80 60 40 20 State Urban Rural Florida 65 mi/h 70 mi/h Texas 70 mi/h 70 mi/h Vermont 55 mi/h 65 mi/h

Shows frequency of data values in intervals of the same size Histogram: Shows frequency of data values in intervals of the same size Special type of bar graph no space between the bars Ex: Number of hours of tv watched by students 20 16 12 8 4 1–3 4–6 7–9 1–3 Frequency Number of Hours of TV 15 4–6 17 7–9

circle graph (or pie chart): Shows how data is divided into parts of a whole - PERCENTS!! Ex: Favorite subjects of a group of students.

Shows how data changes over time line graph: Shows how data changes over time Ex: Visitors to National Parks each month 432 May 657 June 856 July 723 August Visitors Months

Orders numerical data shows how they are distributed stem-and-leaf plot: Orders numerical data shows how they are distributed (least to greatest) The data shows the number of years coached by the top 15 coaches in the all-time NFL coaching victories. Make a stem-and-leaf plot of the data. Then find the number of coaches who coached fewer than 25 years. 33, 40, 29, 33, 23, 22, 20, 21, 18, 23, 17, 15, 15, 12, 17 List the leaves for each stem from least to greatest. Stems Leaves 2 5 5 7 7 8 1 2 3 4 1 2 3 3 9 3 3

Shows the number of times each value occurs in a data set dot plot: Shows the number of times each value occurs in a data set Ex: number of times she babysat each # of hours in July. 6 3 4 8 Wk 4 2 1 5 Wk 3 7 Wk 2 Wk 1 Su S F Th W T M X X X X X X X X X X X X X X X X X X X X X X X X X X X X 0 1 2 3 4 5 6 7 8

scatter plot: Shows the relationships between two data sets by using ordered pairs in a coordinate plane (Correlations) Ex: Shows the relationship between age and speed of walking

Pictograph (or Infographics): Shows data using pictures or a theme

box-and-whisker plot: Shows the variability of a data set by using quartiles Basketball Players Baseball Players 64 66 68 70 72 74 76 78 80 82 84 86 t Heights of Basketball and Baseball Players (in.) Each section has ¼ of data (¼ of data, ¼ of data, ¼ of data, ¼ of data) Upper & Lower extremes: points at end of whiskers Interquartile Range: Includes upper quartile and lower quartile together (the entire box) (inter=inside) (Quartile= 4 parts) (range=between 2 #’s) lower half of the box is the lower quartile, upper half of the box is the upper quartile

Venn Diagram: show relationships between two or more data sets.

Which Data Display Do We Use?

Your Turn What type of display would be most appropriate. 1. The number of points scored per game by the basketball team during the season. 2. The number of books read by each student in third period English class. line graph line plot

Your Turn 3. The percentage of the variety of cakes made by a bakery. 4. The number of magazine subscriptions sold by each member of the sales staff. circle graph bar graph

Your Turn 5. Identify the type of display that would be most appropriate for the description of the given data set. The number of points scored per match by a rugby team during the season. A. line graph B. line plot C. bar graph D. circle graph

Your Turn 6. Identify the type of display that would be most appropriate for the description of the given data set. The shoe size of a group of students. A. line graph B. line plot C. bar graph D. circle graph

the population of the U.S. divided into age groups Your Turn 7. Identify the type of display that would be most appropriate for the description of the given data set: the population of the U.S. divided into age groups Histogram: show frequencies of ages in intervals of the same size

Your Turn 8. Number of girl and guy students in your school who play basketball, soccer, and football. Double Bar Graph: show categories

Your Turn 9. Identify the type of display that would be most appropriate for the description of the given data set. The percent of salary spent by a person on different items. A. line graph B. line plot C. bar graph D. circle graph

Your Turn 10. Identify the type of display that would be most appropriate for the description of the given data set. The grades earned by a student in different subjects. A. line graph B. line plot C. bar graph D. circle graph

11. Correlation between test scores and number of hours Your Turn 11. Correlation between test scores and number of hours Scatterplot: shows relationship between two pieces of information