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Variable

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characteristics of the individuals of the population being studied.
- If variables did not vary, they would be 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 or quantitative?

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The variable is qualitative because it is an attribute characteristic.

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--Qualitative variables

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allow for classification of individuals based on some attribute or characteristic. Quantitative variables provide numerical measures of individuals, and can be added or subtracted and provide meaningful results.

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--discrete variable

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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

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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

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- is a quantitative variable that has either a finite number of possible values or a countable number of possible values. The term "countable" means that the values result from counting, such as 0, 1, 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 or continuous?

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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 or continuous?

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The variable is discrete because it is countable.

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--Qualitative data

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are observations corresponding to a qualitative variable.

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--Quantitative data

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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

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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

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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

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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 variable name, label, or categorize.

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--ordinal level of measurement

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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 of 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

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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

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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.

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The entire group of individuals to be studied is called the ___

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An individual

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is a person or object that is a member of the population being studied.

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_____ statistics consists of organizing and summarizing information collected, while ______ statistics uses methods that generalize results obtained from a sample to the population and measure the reliability of the results.

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Descriptive, inferential

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A ______ is a numerical summary of a sample.

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statistic

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A _____ is a numerical summary of a population.

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parameter

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- Determine whether the underlined value is a parameter or a statistic.
- One of the greatest baseball hitters of all time has a career batting average of Modifying 0.366 with underline . nothing nothing nothing nothing
- Is the value a parameter or a statistic?

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The value is a parameter because the career at dash bats of a baseball player nothing are a population.

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methods of statistics or steps of statistics

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1. Identify the Research Objective
2. Collect the Data Needed to Answer the Research Question(s)
3. Describe the Data
4. Perform Inference