Data and Statistics Definitions

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Questions and Answers

A car manufacturer tracks customer satisfaction using a scale of 'Very Unsatisfied', 'Unsatisfied', 'Neutral', 'Satisfied', and 'Very Satisfied'. Which scale of measurement is being used?

  • Interval
  • Nominal
  • Ordinal (correct)
  • Ratio

A researcher records the daily high temperature in Celsius for a city over a year. This data is an example of what type of data?

  • Nominal
  • Cross-sectional
  • Time series (correct)
  • Categorical

Which scale of measurement is used when data are labels used to identify an attribute of an element?

  • Interval Scale
  • Nominal Scale (correct)
  • Ordinal Scale
  • Ratio Scale

What type of data is the number of products sold by a company last year?

<p>Quantitative (C)</p>
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A survey asks respondents to choose their favorite color from a list including red, blue, green, and yellow. What type of data is collected?

<p>Categorical (B)</p>
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What distinguishes the ratio scale from the interval scale?

<p>The ratio scale has a meaningful zero point. (A)</p>
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What is the purpose of statistical inference?

<p>To make estimates or test hypotheses about a population using sample data. (D)</p>
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In a cumulative relative frequency distribution, what does the value for a particular class represent?

<p>The proportion of data values less than or equal to the upper limit of that class. (A)</p>
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Flashcards

Categorical Data

Labels/names identifying element attributes; uses nominal/ordinal scales; may be numeric/non-numeric.

Categorical Variable

A variable that holds categorical data.

Cross-Sectional Data

Data collected at one point in time.

Data

Facts/figures collected, analyzed, and summarized.

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Descriptive Statistics

Data summaries using tables, graphs, and numbers.

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Elements

Entities on which data is gathered.

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Nominal Scale

Variable scale using labels/names to identify attributes.

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Quantitative Data

Numeric values showing 'how much' or 'how many'.

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Study Notes

  • Categorical data involves labels or names to identify element attributes, using nominal or ordinal scales and can be nonnumeric or numeric.
  • Categorical variable is a variable that holds categorical data.
  • Cross-sectional data are data collected at a single or similar point in time.
  • Data are facts and figures that are collected, analyzed, and summarized for presentation and interpretation.
  • Descriptive statistics are summaries of data in tabular, graphical, or numerical forms.
  • Elements are the entities from which data are collected.
  • Nominal scale is a measurement scale where data are labels or names identifying an element's attribute, and can be non-numeric or numeric.
  • Observation is the set of measurements gathered for a specific element.
  • Ordinal scale is a measurement scale where data have nominal properties and the order or rank of the data is meaningful; data may be nonnumeric or numeric.
  • Quantitative data are numeric values showing how much or how many of something, using interval or ratio scales.
  • Quantitative variable is a variable that contains quantitative data.
  • Ratio scale is a measurement scale with all interval data properties where the ratio of two values is meaningful, and the data are always numerical.
  • Statistical inference is the process of using sample data to estimate or test hypotheses about a population's characteristics.
  • Time series data are data collected over multiple time periods.
  • Variable is a characteristic of interest for the elements.
  • Cumulative frequency distribution is a table that summarizes quantitative data by showing the number of data values less than or equal to the upper-class limit of each class.
  • Cumulative percent frequency distribution is a table that summarizes quantitative data by showing the percentage of data values less than or equal to each class's upper limit.
  • Cumulative relative frequency distribution is a table that summarizes quantitative data by showing the fraction or proportion of data values less than or equal to the upper class limit of each class.
  • Frequency distribution is a table that summarizes data by showing the number (frequency) of observations in nonoverlapping categories or classes.
  • Percent frequency distribution is a table that summarizes data by showing the percentage of observations in nonoverlapping classes.
  • Relative frequency distribution is a table showing the fraction or proportion of observations in nonoverlapping categories or classes.

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