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# Unit 12 lesson 4 measures of center

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### Unit 12 lesson 4 measures of center

1. 1. Name ___________________________________ Date __________________Mrs. Labuski / Mrs. Portsmore Period __________ Unit 12 Lesson 4 Measure of CenterTB 6-2/6-3 OC 7-2VOCABULARY DEFINITION EXAMPLEMEASUREOF CENTERA single number used todescribe a data set.RANGEThe difference between theleast and greatest values inthe set of numbers.2,5,3,6,9,89 – 2 = 7Range = 7MEANThe sum of all the items,divided by the number ofitems in the set. Also calledthe average.2,4,3,62 + 4 + 3 + 6 = 1515 ÷ 4 = 3.75Mean = 3.75MEDIANThe middle value when thedata are in numericalorder. If there are twonumbers in the middle,find the mean (average) ofthose two numbers.2,4,3,6,8,52,3,4,5,6,84+5=99÷2=4.54.5 = median2,4,3,6,8,5,72,3,4,5,6,7,85 = medianOUTLIERAn outlier is a value in aset of data that is muchgreater or much less thanthe other values.22, 23, 28, 54, 2554
2. 2. When do I know which measure of center to use?Measure Most appropriate when….mean •the data have no extreme valuesmedian •the data have extreme values•there are no big gaps in the middle of the dataTake a look at the data below.Day of week Monday Tuesday Wednesday Thursday Friday# of minutes spenton homework47 42 45 46 10The outlier is ____10______ because it is much _smaller_ than the other numbers.Let’s see how the outlier affects the mean, median, and mode.Which do you think would best describe the data? Mean or Median? medianWith the outlier: Without the outlier: Amount ofChangeMean ___38____ Mean ___45____ 7Median __45_____ Median __45.5_____ 0.5Which is most affected by the outlier? ___mean____________________________When an outlier affects the mean or median, choose a value that best describes the data. Whichbest describes the set of data above? ___median______
3. 3. The monthly earnings of several teenagers are \$200, \$320, \$275, \$250,\$750, \$350, and \$310.Find the mean.Write the data values in order from least to greatest and find the median.200 250 275 320 350 750The mean and the median differ by about \$ 40 . Why?The mean is affected by the data value 750, which is much greater than the values becauseof the value 750. The median is a more central value.Which measure of center better describes a typical teenagers monthly earnings—the mean orthe median? Explain.Median; sample explanation: The mean is greater than all but one of the data valuesbecause of the value 750. The median is a more central value.TRY THIS!Lukas final exam scores for this semester are 70, 72, 99, 72, and 69. Find the mean and median.Which is a better description of Lukas typical exam score?Mean = 76.4; median = 72; medianREFLECTLukas parents ask Luka how his final exams went. Luka says, "My average exam score wasabout 76." Is Luka being truthful? Is Luka misleading his parents? Explain.He is being truthful because his mean score really is about 76. However, all but one of hisscores are less than 76, so he is misleading his parents.Name ___________________________________ Date __________________
4. 4. Mrs. Labuski / Mrs. Portsmore Period __________ Unit 12 Lesson 4 Measure of CenterTB 6-2/6-3 OC 7-2VOCABULARY DEFINITION EXAMPLEMEASURE OFCENTERRANGE2,5,3,6,9,8MEAN2,4,3,6MEDIAN2,4,3,6,8,52,4,3,6,8,5,7OUTLIERWhen do I know which measure of center to use?
5. 5. Measure Most appropriate when….mean •the data have no extreme valuesmedian •the data have extreme values•there are no big gaps in the middle of the dataTake a look at the data below.Day of week Monday Tuesday Wednesday Thursday Friday# of minutes spenton homework47 42 45 46 10The outlier is __________ because it is much ___________________ than the other numbers.Let’s see how the outlier affects the mean, median, and mode.Which do you think would best describe the data? Mean or Median? ______________With the outlier: Without the outlier: Amount ofChangeMean _______ Mean _______Median _______ Median _______Which is most affected by the outlier? _______________________________When an outlier affects the mean or median, choose a value that best describes the data.Which best describes the set of data above? ________________________
6. 6. The monthly earnings of several teenagers are \$200, \$320, \$275, \$250,\$750, \$350, and \$310.Find the mean.Write the data values in order from least to greatest and find the median.________________________________________________The mean and the median differ by about \$ _______________. Why?__________________________________________________________________________________________________________________________________________________________Which measure of center better describes a typical teenagers monthly earnings—the mean orthe median? Explain.__________________________________________________________________________________________________________________________________________________________Lukas final exam scores for this semester are 70, 72, 99, 72, and 69. Find the mean and median.Which is a better description of Lukas typical exam score?Lukas parents ask Luka how his final exams went. Luka says, "My average exam score wasabout 76." Is Luka being truthful? Is Luka misleading his parents? Explain._______________________________________________________________________________________________________________________________________________________________________________________________________________________________________
7. 7. The monthly earnings of several teenagers are \$200, \$320, \$275, \$250,\$750, \$350, and \$310.Find the mean.Write the data values in order from least to greatest and find the median.________________________________________________The mean and the median differ by about \$ _______________. Why?__________________________________________________________________________________________________________________________________________________________Which measure of center better describes a typical teenagers monthly earnings—the mean orthe median? Explain.__________________________________________________________________________________________________________________________________________________________Lukas final exam scores for this semester are 70, 72, 99, 72, and 69. Find the mean and median.Which is a better description of Lukas typical exam score?Lukas parents ask Luka how his final exams went. Luka says, "My average exam score wasabout 76." Is Luka being truthful? Is Luka misleading his parents? Explain._______________________________________________________________________________________________________________________________________________________________________________________________________________________________________