Chapter 2 Flashcards
Describe the purpose of organizing raw data in a survey.
Organizing raw data is essential to make it informative and relevant to the questions being investigated, as raw data alone may not provide clear insights.
Define absolute frequency in the context of frequency distributions.
Absolute frequency (f) refers to the number of times a certain value occurs in a distribution.
How are nominal values listed in frequency distributions?
Nominal values are listed in any order in frequency distributions.
Explain the significance of relative frequency in data analysis.
Relative frequency (rf) allows for comparison of how often a value occurs relative to the total number of values, making it useful for comparing groups of different sizes.
What is cumulative frequency and how is it calculated?
Cumulative frequency (cf) is the sum of frequencies from the bottom up for each value in a distribution.
Describe the types of variables and their order in frequency distributions.
Ordinal, interval, and ratio variables are listed from highest to lowest, while nominal values can be listed in any order.
Define frequency distribution and its components.
A frequency distribution lists all possible values a variable can take and how often each value is present, including those with a frequency of zero.
How can organizing data improve the understanding of survey results?
Organizing data helps to clarify patterns, trends, and relationships within the survey results, making it easier to draw conclusions.
Describe absolute frequency in the context of data analysis.
Absolute frequency refers to the number of times each given value is observed within a dataset, such as the number of homosexual and heterosexual couples in a study.
How is relative frequency calculated?
Relative frequency is calculated by dividing the frequency of a given observation by the total number of observations, often expressed as a percentage by multiplying by 100.
Define the significance of comparing absolute and relative frequency.
Comparing absolute and relative frequency is significant for understanding data from groups of different sizes or when a single group has an unusual size, making the data easier to interpret.
How can percentages be derived from relative frequency?
Percentages can be derived from relative frequency by multiplying the relative frequency by 100.
Explain the importance of using relative frequency in data analysis.
Using relative frequency is important because it allows for meaningful comparisons between groups of different sizes, providing a clearer understanding of the data.
What example illustrates the calculation of relative frequency?
An example of calculating relative frequency is (2/25) * 100, which equals 8%, indicating that 2 out of 25 observations represent 8% of the total.
Describe the process of calculating Cumulative Relative Frequency.
Cumulative Relative Frequency is calculated by dividing each cumulative frequency by the total number of observations.
How does Cumulative Relative Frequency enhance data interpretation?
Cumulative Relative Frequency provides more meaningful conclusions than cumulative frequency alone.
Define Cumulative Relative Frequency in the context of relationship satisfaction.
Cumulative Relative Frequency can show the percentage of couples reporting their relationship satisfaction at a certain level, such as 7 or below.
Describe the purpose of grouping data.
Grouping data helps manage too many possible values by organizing them into intervals, making analysis easier.
Define ordinal variables and give an example.
Ordinal variables are those that have a meaningful order but not a consistent difference between values, such as ranking students from 1st to last.
How do interval and ratio variables differ from ordinal variables?
Interval and ratio variables are continuous and can take infinitely many possible values, unlike ordinal variables which are discrete.
What is the significance of using equal sized intervals when grouping data?
Equal sized intervals ensure consistency in data representation and facilitate easier comparison and analysis.
Explain the concept of mutually exclusive intervals in data grouping.
Mutually exclusive intervals mean that each data point can only belong to one interval, preventing overlap and ensuring clarity in categorization.
How should data be organized when listing values from highest to lowest?
Data should be sorted in descending order, starting with the highest value and ending with the lowest.
What is a common scenario that necessitates grouping data into intervals?
Grouping is often necessary when there are more than 20 values of a variable, making it impractical to analyze each value individually.
Describe a grouped frequency distribution.
A grouped frequency distribution organizes data into intervals, showing the frequency of data points within each interval.
Define the purpose of sentencing time in a grouped frequency distribution.
Sentencing time in a grouped frequency distribution is used to analyze the duration of sentences given to youth for identical crimes and similar histories.