# Homework

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Variable
characteristics of the individuals of the population being studied. - If variables did notâ€‹ vary, they would beâ€‹ constants, and statistical inference would not be necessary.
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- Determine whether the variable is qualitative or quantitative. - Favorite musical style - Is the variable qualitative orâ€‹ quantitative?
The variable is qualitative because it is an attribute characteristic.
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--Qualitative variables
allow for classification of individuals based on some attribute or characteristic. Quantitative variables provide numerical measures ofâ€‹ individuals, and can be added or subtracted and provide meaningful results.
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--discrete variable
is a quantitative variable that has either a finite number of possible values or a countable number of possible values. A discrete variable cannot take on every possible value between any two possible values.
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--continuous variable
is a quantitative variable that has an infinite number of possible values that are not countable. A continuous variable may take on every possible value between any two values.
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discrete variable
- is a quantitative variable that has either a finite number of possible values or a countable number of possible values. The termâ€‹ "countable" means that the values result fromâ€‹ counting, such asâ€‹ 0, 1,â€‹ 2, 3, and so on. - A continuous variable is a quantitative variable that has an infinite number of possible values that are not countable.
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- Determine whether the quantitative variable is discrete or continuous. - Amount of fabric needed for a dress - Is the variable discrete orâ€‹ continuous?
The variable is continuous because it is not countable.
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- Determine whether the quantitative variable is discrete or continuous. - Number of bacteria seen on a microscope slide - Is the variable discrete orâ€‹ continuous?
The variable is discrete because it is countable.
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--Qualitative data
are observations corresponding to a qualitative variable.
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--Quantitative data
are observations corresponding to a quantitative variable. EX- Income is a quantitative variable; \$32,012 or \$57,839 are quantitative data.
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--Discrete data
are observations corresponding to a discrete variable. EX- Attendance at a play is a discrete variable; 8431 attendees or 2984 attendees are discrete data.
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--Continuous data
are observations corresponding to a continuous variable. EX- Time between calls to a call center is a continuous variable; 32 seconds or 21 seconds (between calls) are continuous data.
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--nominal level of measurement
A variable is at the_______ if the values of the variable name, label, or categorize. In addition, the naming scheme does not allow for the values of the variable to be arranged in a ranked or specific order. A variable is at the nominal level of measurement if the values of the variableâ€‹ name, label, or categorize.
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--ordinal level of measurement
A variable is at the_______ if it has the properties of the nominal level of measurement. However, the naming scheme allows for the values of the variable to be arranged in a ranked or specific order. A variable is at the ordinal level of measurement if it has the properties of the nominal level ofâ€‹ measurement, but the naming scheme allows for the values of the variable to be arranged in a ranked or specific order.
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--interval level of measurement
A variable is at the_______ if it has the properties of the ordinal level of measurement and the differences in the values of the variable have meaning. A value of zero does not mean the absence of the quantity. Arithmetic operations such as addition and subtraction can be performed on the values of the variable. A variable is at the interval level of measurement if it has the properties of the ordinal level of measurement and the differences in the values of the variable have meaning.
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--ratio level of measurement
A variable is at the_______ if it has the properties of the interval level of measurement and the ratios of the values of the variable have meaning. A value of zero means the absence of the quantity. Arithmetic operations such as multiplication and division can be performed on the values of the variable. A variable is at the ratio level of measurement if it has the properties of the interval level of measurement and the ratios of the values of the variable have meaning.
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population.
The entire group of individuals to be studied is called the ___
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An individual
is a person or object that is a member of the population being studied.
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_____ statistics consists of organizing and summarizing informationâ€‹ collected, while ______ statistics uses methods that generalize results obtained from a sample to the population and measure the reliability of the results.
Descriptive, inferential
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A ______ is a numerical summary of a sample.