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QMS CRIB SHEET (QUIZ #1).doc
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Department
Quantitative Methods
Course
QMS 102
Professor
Clare Chua
Semester
Winter

Description
QUALITATIVE DATA2 What is your salary ORDINALNOMINAL0 and under 10000 Nominal scaleNo ordering of the items10000 and under 20000 EXAMPLE A physical example of a nominal scale is 20000 and under 30000the terms we use for colours The underlying spectrumDown grade a ratio continuous data to aie rainbow is ordered but the names are nominalcategorized data ordinal scale EXAMPLE In research activities a YESNO scale is Rules and Conventionsnominal It has no orderStemsORDINAL1 Should be from 6 to 13 stems Ordinal data are categorical data where there is 2 Should be consecutive numbers or repeateda logical ordering to the categoriesnumbers The numbers may each be repeated twice orThe simplest ordinal scale is a ranking5 times EXAMPLE Like scale that you see on many surveys3 Units must be indicated if stem not be taken at face 1Strongly disagree 2Disagree 3Neutral 4Agree value5Strongly agree4 There must be at least one leaf associated with theRestaurant ratingsfirst and the last stemINTERVAL0 is only an arbitrary reference point Leaves0 does not mean nothing The interval scale of 1 The leaf for each data value is the next single digit measurement only permits mathematical operations after the stemof addition and subtractionNote When the stems are repeated twice the leaves 00 is only an arbitrary reference point0 does 4 go with the first stem and the leaves 59 with the not mean nothingsecond This order is reversed when the stems are Temperature0 C does not mean there is no heatnegative valuesWhen the stems are repeated 5 AdditionSubtract data values and get meaningful times the leaves 01 go with the first stem 23 with theresultssecond etc This order is reversed when the stems areDifference between 10 c and 11 c is the same as the negative valuesdifference between 20 c and 21 cNote that 0C is 2 There is no rounding offarbitrary so that it does not make sense to say that 20C3 They are written in ascending order is twice as hot as 10C4 They must be evenly spaced CHECK TO SEE IF 0 does mean the absence of 5 No commas or dashes between the numbers are the characteristic being measured ie allowed0nothing CHECK TO SEE IF AdditionSubtract data values and get meaningful resultsRATIO0 does mean the absence of the characteristic being measured 0nothing Ratio of division data values is meaningful AdditionSubtract data values and get meaningful results0 does mean the absence of the characteristic being measured 0nothingMoney is a good example of an everyday ratio scale ofmeasurement If we have 100 we have twice as much purchasing power as 50What is a Frequency DistributionA Frequency Distribution is a summarytable in which the data are grouped intononoverlapping classesFrequency DistributionStep 1 CWHL divided by 5CW28020 divided by 560Step 2 Find a nice number 1 2 25 5 10 20 25 50 etcStep 3 Construct classes and make sure it is between 1 What is your gender Nominal5 and 10 Female Male 2 What is your ageyears Ratio4 If you walk for exercise how long does it take you to walk one mile 16 kmRatio1 What is your salary Ratio 1 What happens if the data has three decimalseg Data 0134 1553 0457 1065 0874You still can use 025 but now it would be 02502 What happens if the data has one decimaleg Data 03 12 17 08 14 11You cannot use 025 as class width Because the data has one decimal you should use either 02 or 050102025053 What happens if the data has two decimalseg Data 134 1495 457 1065 874You still can use 25 but now it would be 2504 What happens if the data has no decimaleg Data 3 10 17 8 14 11You cannot use 25 as class width Because the data has no decimal you should use either 2 or 5Relative Frequency
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