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Central tendency

Central tendency






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    Central tendency Central tendency Presentation Transcript

    • CENTRAL TENDENCYBy: Marlenys MoraPeriod 6
    • RangeThe greatest number subtracted by the lowest number in a set of numbers.
    • MeanIn a set of data you add all the numbers together and divided by the # of data.
    • MedianMiddle, thing, person, number ect. In a group. I they are two Middlenumbers add the numbers together and divide them by 2 or by the amount of middle numbers you find.
    • Mode The most common number in a data set.The boys would be the “mode” of this picture because they appear the most.
    • OutliersThe Thing, number, place ect. That is most different from the rest The brown, gray and black kitten would be the outlier.
    • Try it!Jessica’s test scores in Algebra for the first semester are 93, 79, 88, 77, 92, 88, 80, 34, 84, 88. Calculate the range, mean, median, and mode. Then make and explain a prediction for next semester’s test scores 34, 77, 79, 80, 84, 88, 88, 88, 92, 93 Range: 93 - 34= 59 Mean: 34 + 77 + 79 + 80 + 84 + 88 + 88 + 88 + 92 + 93 = 803/10 = 80.3 Median: 84 + 88 = 172/2 = 86 Mode: 88
    • Group ExercisesWitch Measures of central tendency best represents the data? Justify your answer. Then find all the central tendencymeasures and compare the results.
    • Question 11. DEFECTS A furniture manufacturer keeps records of how many units are defective each day.(7,12,9,10,14,8))7, 8, 8, 9, 10, 12, 14Mean: 11.33Median:9Mode:8Outlier: No outlierRange:7How could you verify this decision?I would use mean because it would bemore accurate and closer to the unitsdefective each day.
    • Question 22. SCIENCE TEST Mr. Wharton records his students scores on the last sciencetest(94,88,88,94,,94)84, 84, 88, 88, 88, 94, 94, 94, 94, 94Mean:90.2Mode:94Range:10Outlier: No OutlierMedian:182/2=91Predict the outcome of the mean and range if there were 2 20’s added to thescience test explain?Mean: 78.5Range:74The mean would be lower b/c of the two 20’s added together it will bring it down.
    • Question 33. PUPPIES A veterinarian keeps records of the weights of puppies in ounces(4.1,3.8,5.0,5.6,4.7,11.6)3.8, 4.1, 4.6, 4.7, 5.0, 5.6, 11.6Mean: 5.62Median:4.7Mode: No ModeRange:7.8Outlier:11.6How would you explain the range and its connection to the data set?Range is the highest # subtracted by the lowest number in the data set. I think theconnection because confirms the accuracy
    • Question 44. COMMUTING The local newspaper conducted a telephone survey of commuters to see how the get to work each day. The responses were: commuter rail, 22; bus, 17; subway, 18; walking 15; car ,224.15, 17, 18, 22, 224Mean:59.2Median:18Mode: No ModeRange:209Outlier:224What facts can you gather about the outlier? Which central tendency would be affected bythe outlier?The outlier is the oddest number in a set of data, in other words the one that doesn’t belong. MeanCould be affected by outlier. It would not be accurate.
    • Question 55. SNOWFALL A weather station keeps records of how many inches of snow fall eachweek (9,2,0,3,0,2,1,2,3,1).0, 0, 1, 1, 2, 2, 2, 3, 3, 9Mean:2.3Median:2Mode:2Range:9Outlier:9What would happen to your decision if we had a blizzard and added 24 inches to theabove data.This would be the Mean:4.27This would be the Median:2This would be the Mode:2This would be theRange:24This would be theOutlier:24
    • Question 66. SALES a supermarket keeps records of how many boxes of cereal are sold each dayin a week (12,9,11,14,19,49,18)9, 11, 11, 12, 14, 18, 19, 49Mean:17.875Mode:11Median:13Range:40Outlier:49Based on above information which cereal makes the most money.I think the outlier makes the most money
    • Question 77. A city councilman keeps tracks of the numbers of votes he receives in eachdistrict(68,66,59,61,62,67)59, 61, 62, 66, 67, 68Mean:63.83Median:64Mode: No ModeRange:9Outlier: No OutlierIf you ran against the city councilman and wanted to beat him what voting numberswould you want to see.68 because is the highest
    • Question 88. BODYBUILDING A body builder keeps track of how many setsof each exercise he performs each day:(9,8,6,5,11,7,10)5, 6, 7, 8, 9, 10, 11Mean:8Median:8Mode: No ModeRange:6Outlier: No OutlierI think that mean because it would be the most accurate answer
    • Question 99. PROPERTY TAXES A landlord is keeping track of what he pays each month inproperty taxes so he can budget accordingly. For the first half of the year, the tax billswere $256, $256,$274,$256,$256,$274. Which measure of central tendency bestrepresents the data.$256,$256,$256,$256,$274,$274=1572/6=262Mean:262Median:256Mode:256Range:18Outlier: 274
    • THE END