0-13 R EPRESENTING D ATA Objective: 1. Represent sets of data using different visual displays.

D EFINITIONS Frequency Table: Uses tally marks to record and display frequencies of events. Bar Graph: Compares categories of data with bars representing frequencies.

E XAMPLE 1: T HE TABLE SHOWS THE RESULTS OF A STUDENT SURVEY ON FAVORITE MUSIC. M AKE A BAR GRAPH TO DISPLAY THE DATA.

D EFINITIONS Cumulative Frequency: The sum of each events frequency and the frequencies of all preceding events. Histogram: A type of bar graph used to display numerical data that have been organized into equal intervals.

E XAMPLE 2: T HE TABLE SHOWS THE AGES OF THE VOLUNTEERS AT AN ANIMAL SHELTER. M AKE HISTOGRAMS OF THE A ) FREQUENCIES AND B ) THE CUMULATIVE FREQUENCIES. A )

E XAMPLE 2: T HE TABLE SHOWS THE AGES OF THE VOLUNTEERS AT AN ANIMAL SHELTER. M AKE HISTOGRAMS OF THE A ) FREQUENCIES AND B ) THE CUMULATIVE FREQUENCIES. B )

D EFINITIONS Line Graph: Shows how data changes over a period of time.

E XAMPLE 3: M AKE A LINE GRAPH OF THE WIND SPEED FORECAST DATA.

D EFINITIONS Stem & Leaf Plot: Digits of the least place value usually form the leaves, and the rest of the digits form the stems. Example STEM – digits other than the last one LEAF – last digit

E XAMPLE 4: T HE WEIGHTS IN POUNDS OF 25 PACKAGES SHIPPED FROM A MAILING CENTER ARE LISTED BELOW. U SE THE DATA TO MAKE A STEM - AND - LEAF PLOT.

D EFINITIONS Circle Graph: Graph that shows parts of the data and the whole.

E XAMPLE 5: T HE TABLE SHOWS HOW THE A STRONOMY C LUB RAISED $500. M AKE A CIRCLE GRAPH OF THE DATA.

D EFINITIONS Box – and – whisker plot: graphical representation of the five number summary of a data set. What is the five number summary made up of? HINT: Use your 0-12 notes!!!

E XAMPLE 6: M RS. H EFLIN IS COMPARING THE PERFORMANCES OF HER CLASS ON THE PAST TWO CHAPTER TESTS. C HAPTER 5: 76, 81, 72, 83, 88, 79, 77, 84, 86, 79, 79, 81, 83, 85 C HAPTER 6: 91, 88, 77, 69, 93, 86, 88, 94, 65, 70, 63, 72, 91, 68 a) Draw a double box-and-whisker plot for the data

b) Use the box-and-whisker plot to compare the data. c) Would it be appropriate to say students did much better on the Chapter 6 test? Explain.

Determine which graph is the best way to display each set of data. Explain. a) the amount of sales for each novel an author writes. b) a person's monthly budget. Bar Graph – Changing data from novel to novel Circle Graph – Data will show how parts are related to a whole.

H OMEWORK Pages P45-P46: 1, 2, 4, 6, 7, 8