statistical terms and scales of measurement

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    Advanced Algebra, Trigonometry, and Statistics;Esparrago, et al.

    (2004) pp.564-566

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    Majority of patients who died of lung cancerare males.

    95% of the population has 66 inches height.

    Wearing of seatbelts increases the chance ofsurvival in automobile accidents.

    Carbon monoxide is one of the majorpollutants of smog.

    Blood makes up 8% of the total body weight.

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    At the age of 70, what is the

    average amount of water that aman has consumed?

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    12, 000 gallons

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    For how many times does a normalheart beat in a day?

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    100,000

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    7 seconds

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    True or False:

    The width of your armspanstretched out is the length of yourwhole body.

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    True

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    In average, how many dreams doesa man have in one night sleep?

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    7 dreams

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    You speak 4,800 words a day!

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    any qualitative or quantitativeinformation.

    could be found throughsurveys, experiments, records,etc.

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    represent differences in quality, character, orkind but not in amount. They yield non-numeric values.

    Ex:

    Gender, birth month, locations, eye color

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    Refers to numerical information obtainedfrom counting or measuring that can bemanipulated by any fundamental operation

    Ex: age, speed, test scores, temperature

    *Quantitative data are further classified aseither discrete or continuous.

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    refers to the totality of all the elements orpersons fro which one has an interest at aparticular time.

    Example:

    4thYear students of CMRICTHS in the year2013-2014

    Filipino people in 2013

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    It is part of a population determined bysaampling.

    Example:

    4thYear students of CMRICTHS in the year2013-2014 who are good at dancing

    Selected Filipino people in 2013

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    Parameter is any statistical information orattribute taken from a population. It is a truevalue or actual statistics since its source is thepopulation itself.

    Statistic is any estimate of statistical attributestaken from a sample.

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    Is a specific factor, property, or characteristicof a population, or a sample whichdifferentiates a sample or group of samplesfrom another group.

    Example:

    Examination: Time, gender

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    A discrete variable is a variable whose valuescan be counted using integral values.

    Examples:

    Number of employees, number of students inclassroom, number of cars owned, number ofsiblings

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    A continuous variable is a variable that canassume any numerical value over an intervalor intervals. It yields fractions or decimals.

    Examples:

    Height, weight, temperature, time

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    relates to the rules used to assign scores andis an indicator of the kind of information thatthe scores provide

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    Use numbers for the purpose ofidentifying name or membershipin a group or category. As the

    name implies, it consists ofnaming observations orclassifying them into variouscategories.

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    Religion umber of PersonsCatholic 1, 170

    Protestants 45

    Iglesia ni Cristo 62

    El Shaddai 25

    No religions 95

    Not reported 13

    Other examples: gender, politicalparty, names of schools attended

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    connote ranking or inequalities. Onecategory is higher than the other. Inthis type of data, numbers represent

    greater than or less than.

    Examples:

    Social class or incomes, grades (A,B,C)winners (1st, 2nd, 3rd)

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    The measurement where data are arrangedin some order and the differences betweendata are meaningful.

    Data at this level may lack inherent zero

    starting point.

    Examples: Aptitude test score, temperature

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    This measurement is an interval levelmodified to include the inherent zero startingpoint.

    Examples:

    Election votes, ages of students, weights ofbeef

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    Determine whether the following areQualitative or Quantitative. If Quantitative,classify if continuous or discrete.

    1. Blood types in the blood bank

    2. number of patients for consultation in aday

    3. gender of newborn babies in the hospital

    4. height of a newborn baby5. number of plants in the school

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    State the level of measurement for thefollowing:

    1. Blood pressure

    2. degrees of burn

    3. height of students

    4. favorite sports

    5. rank in the class6. number of students who passed

    7. temperature

    8. marital status

    9. nationality

    10. score in a game