M310 Descriptive Statistics Basics Display Data p DSB1 f8 1. We use graphs to communicate data— pictographs, pie charts, bar graphs, line graphs....The PICTOGRAPH is perhaps the most fun since it offers a creative opportunity in the choice of symbol.For example, in charting the popularity of songs I chose the symbol *....Notice the A pictograph FAVORITE SONGS OF 40 KINDERGARTNERS ³ TITLE is a special If You’re Happy (and) * * * * * * * * and type of Three Blind Mice * * * LEGEND Bar graph.  Old MacDonald * * * *  The Hokey Pokey * * * * * (Each * represents 2 votes)2. Picto-graph the cookie drive: Mr. Jones' class sold 150 boxes; Ms. Smith's, 180; M. Durite's, 220. ,A pictograph is appropriate for displaying certain types of data. Which of the following sets of data? , Ages, in years, of members of a Bonsai class: 32, 21, 92, 26, 37, 48, 72, 41, 32, 16, 37, 48 Number of visits to the dentist for 20 kindergartners: 0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,4,5,7,9 Eye color (brown, blue, green, gray) of 40 kindergartners.On the NSAT (National Science Achievement Test),Ms. Smith's science class made the following scores: & Mr. Jones’ class earned these:69 73 74 74 77 79 80 85 73 70 98 83 75 7682 84 88 88 96 97 97 97 82 72 83 72 84 84 x x x3. Here is a LINE PLOT of Ms. x x x x x x x x x xx Smith's class scores RRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRR 70 80 90 100 , Make a line plot of Mr. x ¶Jones' class scores RRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRR 70 80 90 1004. Ms. Smith’s class scores in Add Jones’ data to form a back-to-back stem-and-leaf diagram below.a STEM-AND-LEAF diagram Don’t forget labels and legend.are shown below. Scores of two 8 -grade classesthon National Science Achievement TestScores of Ms. Smith’s 8 -graders onth , the National Science Achievement Test Smith’s ¶ Class , 6 9 9 6 Legend: ¶ 7 3 4 4 Legend: 4 4 3 7 7 7 9 7 | 7 9 9 7 7 8 0 2 4 represents 4 2 0 8 8 8 8 scores of 8 8 8 9 77 & 79 9 9 6 7 7 7 7 6 9 Note: We did NOT use JUST FOUR classes such as 70-79, 80-89.... Four is considered too fewclasses!M310 Descriptive Statistics Basics Display Data p DSB2 f8 Ms. Smith's science class made the following scores: & Mr. Jones' class earned these:69 73 74 74 77 79 80 85 73 70 98 83 75 7682 84 88 88 96 97 97 97 82 72 83 72 84 845. A FREQUENCY TABLE lists ranges of values for the data, and their frequencies— the number of data that fall in each range (class). Classify the data in a combined frequency table (ie complete what was started below). (Use classes that correspond to the stem-and-leaf diagram above.) Don’t forget the title. , NumberScores on test of students 65-69 1 70-74 7 75-79 4 80-84 , 6. Show the combined data in a HISTOGRAM using classes which correspond to those in problem (3). USE A histogram uses adjacent rectangles on a Cartesian coordinate system to display data. theThe horizontal or x-axis displays the values of the data; the vertical or y-axis the frequencies. SPACE!! , . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . , . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . , . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Histograms and Bar Graphs both show frequencies of data grouped in categories, in summary form. Thedifference is that the HISTOGRAM is used for numeric data, when the range of possible values for data isCONTINUOUS, whereas a BAR GRAPH is used when the possible data values are SEPARATE VALUES, rather than acontinuous range. For example: We show distributions of trees BY HEIGHT via a histogram, since tree HEIGHTS cover a continuous range. We show distribution of trees BY TYPE (oak, sycamore, manzanita) on a bar graph. , Should we use a histogram or a bar graph to show HOW MANY CHILDREN MADE THE HONOR ROLL IN EACHCLASSROOM at Elm St. Elementary? (Bar graphs may be displayed sideways, with the variable of interest on the vertical axis & …