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NameClassDateReteaching 2-1MeanMath Test ry90Mei-lin93Kevin87Carlos110 The mean of a set of data is the sum of the values divided by the number of data items.87 87 88 90 90 91 93 110 736736 8 92The mean math test grade is 92. An outlier is a data item that is much greater or less than the other data items. If a data set has anoutlier, then the mean may not describe the data very well.The outlier in the Math Test Grades is 110, because it is significantly higher than the other scores. Inthis case, omitting the outlier from the mean calculation lowers the mean by about 3 points.87 87 88 90 90 91 93 626626 7 89.4Find the mean of each data set.1. 8,6,5,9,7,132. 9,12,14,6,8,5Identify the outlier in each set of data. What effect does that outlierhave on the mean?3. 94,77,37,80,74,94,87,854. 13,10,9,15,11,29,12,105. 378; 433; 364; 418; 2,877; 4086. 4,333; 4,290; 4,315; 587; 4,100

NameClassReteaching 2-7Data can be displayed on graphsin ways that are misleading.DateMisleading Graphs and StatisticsABCDThe horizontal scales makethese line graphs seem different.As the numbers are movedfarther apart, it appears thatthe change over time is less.These bar graphs may seemdifferent because of how thevertical scales are drawn.The break in the vertical scalemakes the differences seem greaterthan they really are.Use the graphs above for Exercises 1–3.1. Which graph might be used to convince someone that the priceof pizza has risen too quickly over the years?2. Which graph would Car Company X use to show that its carslast longer than the competition?3. Which graph of cars still on the road after 10 years would CarCompany Z prefer?4. On a science exam, six students scored a mean of 75. Theirscores were 88, 90, 12, 85, 87, and 88. Why might the mean bemisleading?

NameClassDateReteaching 2-6Stem-and-Leaf PlotsA stem-and-leaf plot is a graph that uses the digits of each number toshow the shape of the data. Each data value is broken into a “stem”on the left and a “leaf” on the right. A vertical segment separates thestems from the leaves. To read the data, combine the stem with eachleaf in the same row.Example: Make a stem-and-leaf diagram ofthe data showing minutes spent eating lunch.Minutes Spent Eating Lunch46, 35, 12, 37, 28, 10, 22, 54, 19, 13, 46, 51Decide what the stem of the diagram willrepresent. Since these data are two-digit numbers,the stem will be the tens digits and the leaves willbe the ones digits.Lunch TimesLunch TimesWrite the tens digits in order in the lefthandcolumn of the diagram. Then write each leaf at theright of its stem as they occur in the problem.Complete the second stem-and-leaf diagram, withthe leaves in order from least to greatest.For Exercises 1–3, use the stem-and-leaf plot at the right.1. What does 1 8 represent?Ages of PeopleAttending a PoetryReading2. How many people were older than 40?3. How many people were at the poetry reading?Key: 0 8 means 8years old.

NameClassDateReteaching 2-5Using Spreadsheets to Organize DataParty Pals has party equipment for rent. The company uses a spreadsheetto keep track of the number of hours its equipment is rented.AMachine12Party PopcornerJuice FountainSoft Ice Cream Machine5 Pretzel Oven34BFri.CSat.DSun.408183966345ETotal A cell is a box in a spreadsheet where a particular row and columnmeet. In column C, you find the cells C1, C2, C3, and so on. C2shows 8. Its value is 8 hours. Missing values can be found by telling the spreadsheet whatcalculation to do. The value for cell E3 can be found by using theformula B3 C3 D3.FMeanRentalTimeUse the spreadsheet above for Exercises 1–11. Identify the cell(s) thatindicate each category.1. machines2. rental times forrented3. total rentalSaturdayhours for thePopcornerWrite the value for the given cell.4. B55. C46. D37. A3Write a formula to find each quantity.8. the total in cell E410. the total in cell E29. the total in cell E511. the mean rental time in cell F5

NameClassDateReteaching 2-4Bar Graphs and Line GraphsA bar graph uses vertical or horizontalbars to display numerical information.The length of the bars tell you thenumbers they represent. To read thegraph at the right, first read the horizontalaxis. Then read from the top of a bar tothe vertical axis. This graph shows that inSeptember, an English class read 25books.MonthA line graph is a graph that uses a seriesof line segments to show changes indata. Usually, a line graph showschanges over time. For example, it mayshow a pattern of increase, decrease, orno change over time.Use the bar graph above for Exercises 1-2.1. How many books were read inDecember?Use the tables at the right for Exercises 3-4.3. Would you use a bar graph, a histogram,or a line graph to display the data in theSports table? Explain your choice.4. Would you use a bar graph or a linegraph for the Population data? Explain.2. In which two months did students read thesame number of books?Favorite r AnsweringWrestlingWrestling290 290FootballFootball50 50BBasketball520aBaseball130sI PopulationPopulation ofof 197045,0009198062,0007199068,0000

NameClassReteaching 2-3Sixteen students were asked to nametheir favorite school day. A frequencytable can be used to organize theirresponses.FavoriteSchool ing and Displaying DataStudents compared the number of booksthey carry to school. A line plot can beused to show this data. Eachrepresents one student.Tally FrequencyIll3II2III3llll4Illl4T o make a frequency table:List all the choices.Mark a tally for each student’s response.To use a line plot to find the range:Subtract the least value from the greatestvalue along the horizontal line.The range is 6 1 or 5 books.Total the tallies for each choice.Organize the data by completing the frequency table. Then use the data to complete the line plot.1. ages of middle school students:11, 12, 12, 12, 12, 12, 13, 13, 13, 13,13, 13, 14, 14, 14Age11121314The range isTallyFrequencyAges of Middle School Students

NameClassDateReteaching 2-2Median and Mode The median of a data set is the middle valuewhen the data are arranged in numerical order.When the temperatures are arranged in orderfrom least to greatest, there are two middlenumbers.Average Monthly TemperatureMonthTemperature (indegrees Fahrenheit)35 , 40 , 45 , 50 , 60 , 70 , 75 , 80 , 98 , 98 , 100 , 105 To find the median, add the two middle numbers anddivide the total by 2.70 75 145145 2 72.5The median temperature is 72.5 Fahrenheit. The mode is the data item(s) that appears most often.For this data, 98 is the 06040 The mean, median, and mode of a data set are each a different way to measure the data. The meanis not always the best measure. The median works well for analyzing data sets with outliers. Themode is useful when the data items are repeated or are not numerical.Find the median of each data set.1. 5,4,7,9,82. 9,12,14,6,8,53. 12,16,19,14,14,184. 2.2,3.6,2.4,2.5,3.9,3.4,3.1Find the mode of each data set.5. 3,4,5,5,3,5,4,26. blue, red, red, yellow, blue, red7. 33,35,34,33,35,338. girl, boy, boy, girl, girl, girlDoes the mean, the median, or the mode best describe the averagemonthly temperatures listed below?9. 35 , 45 , 50 , 70 , 75 , 98 , 100 , 105 , 98 , 80 , 60 , 40 10. 29 , 28 , 30 , 33 , 65 , 70 , 70 , 98 , 74 , 68 , 60 , 40

Stem-and-Leaf Plots A stem-and-leaf plot is a graph that uses the digits of each number to show the shape of the data. Each data value is broken into a “stem” on the left and a “leaf” on the right. A vertical segment separates the stems from the leaves. To read the data, combine th

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