Frequency Distribution Flashcards
When the score categories (X values) are measurements from a nominal or an ordinal scale, the graph should be a _______.
bar graph
measures the fraction of the total group that is associated with each score
Proportion/ Relative Frequency
In a __________, a bar is centered above each score
histogram
scores pile up on one side of the distribution, leaving a “tail” of a few extreme values on the other side.
Skewed
the scores tend to pile up on the left side of the distribution with the tail tapering off to the right.
Positively skewed
presents an organized picture of the entire set of scores, and it shows where each individual is located relative to others in the distribution.
Frequency distribution
the scores tend to pile up on the right side and the tail points to the left.
Negatively skewed distribution
sum of the frequencies accumulated up to the upper boundary of a class in the distribution.
Cumulative frequency
circle that is divided into sections according to the percentage of frequencies in each category of the distribution.
Pie chart
allows you to estimate values within the interval by assuming that the fractional portions of one scale correspond to the same fractional portion of the other.
Interpolation
When the score categories consist of numerical scores from an interval or ratio scale, the graph should be either a ____________
histogram or a polygon
An organized tabulation showing exactly how many individuals are located in each category on the scale of measurement.
Frequency distribution
In a stem and leaf display, first occurrence is associated with the ____________
Lower leaf values
statistical measure that determines a single value that accurately describes the center of the distribution and represents the entire distribution of scores.
Central tendency
In a stem and leaf display, the second occurrence is associated with the
Upper leaf display
They are used to visually represent how many values are below a certain upper class boundary.
Cumulative frequency
___________ represent the accumulation of individuals (frequency) as it move up to the scale
Cumulative frequency
a mathematical process based on the assumption that the scores and the percentages change in a regular, linear fashion as you move through an interval from one end to the other
Interpolation
Purpose of the variability
to determine how spread out the scores are in a distribution.
Goals of central tendency
identify the single value that is the best representative for the entire set of data.
the balance point of the distribution because the sum of the distances below the mean is exactly equal to the sum of the distances above the mean.
Mean
most frequently occurring category or score in the distribution
Mode
You must use ________ to determine the corresponding ranks and percentiles when scores or percentages do not correspond to upper real limits or cumulative percentages
interpolation
distance between the first quartile and the third quartile
Interquartile range
When an X value is described by its rank, it is called a ___________.
percentile
most commonly used measure of central tendency
Mean
measure of the standard distance from the mean
Standard deviation
mean squared deviation and is obtained by finding the sum of the squared deviations and then dividing by the number.
Variance
Each ______________ identifies the percentile rank for the upper real limit of the corresponding score or class interval.
cumulative percentage
allows researchers to summarize or condense a large set of data into a single value.
Central tendency
This mean is used most often when the population is very large.
Sample mean
In a _________, a dot is centered above each score so that the height of the dot corresponds to the frequency
polygon
allows researchers to describe or present a set of data in a very simplified, concise form
Central tendency
Not influenced by extreme scores and more stable than the range
Semi-interquartile range
distance between the upper real limit of the largest X and the lower real limit of the smallest X in the distribution.
Range
square root of the variance.
Standard deviation
The most commonly used measure of variability in a distribution of test scores
Standard deviation
advantage of the median
it is relatively unaffected by extreme scores.
one-half the distance between the first interquartile and the third interquartile
semi-interquartile range
Four basic measures of variability
Range Interquartile and Semi-interquartile Variance Standard deviation
expected value of a random variable in a probability distribution is sometimes called the population mean
Population mean
One method for simplifying and organizing data is to construct a ________________.
frequency distribution
Reverse
bar graph
When the score categories (X values) are measurements from a nominal or an ordinal scale, the graph should be a _______.
Reverse
Proportion/ Relative Frequency
measures the fraction of the total group that is associated with each score
Reverse
histogram
In a __________, a bar is centered above each score
Reverse
Skewed
scores pile up on one side of the distribution, leaving a “tail” of a few extreme values on the other side.
Reverse
Positively skewed
the scores tend to pile up on the left side of the distribution with the tail tapering off to the right.
Reverse
Frequency distribution
presents an organized picture of the entire set of scores, and it shows where each individual is located relative to others in the distribution.
Reverse
Negatively skewed distribution
the scores tend to pile up on the right side and the tail points to the left.
Reverse
Cumulative frequency
sum of the frequencies accumulated up to the upper boundary of a class in the distribution.
Reverse
Pie chart
circle that is divided into sections according to the percentage of frequencies in each category of the distribution.
Reverse
Interpolation
allows you to estimate values within the interval by assuming that the fractional portions of one scale correspond to the same fractional portion of the other.
Reverse
histogram or a polygon
When the score categories consist of numerical scores from an interval or ratio scale, the graph should be either a ____________
Reverse
Frequency distribution
An organized tabulation showing exactly how many individuals are located in each category on the scale of measurement.
Reverse
Lower leaf values
In a stem and leaf display, first occurrence is associated with the ____________
Reverse
Central tendency
statistical measure that determines a single value that accurately describes the center of the distribution and represents the entire distribution of scores.
Reverse
Upper leaf display
In a stem and leaf display, the second occurrence is associated with the
Reverse
Cumulative frequency
They are used to visually represent how many values are below a certain upper class boundary.
Reverse
Cumulative frequency
___________ represent the accumulation of individuals (frequency) as it move up to the scale
Reverse
Interpolation
a mathematical process based on the assumption that the scores and the percentages change in a regular, linear fashion as you move through an interval from one end to the other
Reverse
to determine how spread out the scores are in a distribution.
Purpose of the variability
Reverse
identify the single value that is the best representative for the entire set of data.
Goals of central tendency
Reverse
Mean
the balance point of the distribution because the sum of the distances below the mean is exactly equal to the sum of the distances above the mean.
Reverse
Mode
most frequently occurring category or score in the distribution
Reverse
Interquartile range
distance between the first quartile and the third quartile
Reverse
percentile
When an X value is described by its rank, it is called a ___________.
Reverse
Mean
most commonly used measure of central tendency
Reverse
Standard deviation
measure of the standard distance from the mean
Reverse
Variance
mean squared deviation and is obtained by finding the sum of the squared deviations and then dividing by the number.
Reverse
cumulative percentage
Each ______________ identifies the percentile rank for the upper real limit of the corresponding score or class interval.
Reverse
Central tendency
allows researchers to summarize or condense a large set of data into a single value.
Reverse
Sample mean
This mean is used most often when the population is very large.
Reverse
polygon
In a _________, a dot is centered above each score so that the height of the dot corresponds to the frequency
Reverse
Central tendency
allows researchers to describe or present a set of data in a very simplified, concise form
Reverse
Semi-interquartile range
Not influenced by extreme scores and more stable than the range
Reverse
Range
distance between the upper real limit of the largest X and the lower real limit of the smallest X in the distribution.
Reverse
Standard deviation
square root of the variance.
Reverse
Standard deviation
The most commonly used measure of variability in a distribution of test scores
Reverse
it is relatively unaffected by extreme scores.
advantage of the median
Reverse
semi-interquartile range
one-half the distance between the first interquartile and the third interquartile
Reverse
Range Interquartile and Semi-interquartile Variance Standard deviation
Four basic measures of variability
Reverse
Population mean
expected value of a random variable in a probability distribution is sometimes called the population mean
Reverse
frequency distribution
One method for simplifying and organizing data is to construct a ________________.