stats chapter 2
graphical tool best used to display the relative frequency of grouped, quantitative data
histogram
which of the following graphical depictions is used for observing the spread of the data for a single variable
histogram
one of the primary goals of constructing a frequency distribution for quantitative data is to summarize the data
in a manner that accurately depicts the data as a whole
which best describes a frequency distribution for qualitative data
it groups data into categories, and records the number of observations in each category
stem and leaf. Stem consists of the ___ and the leaf consists of the ___
leftmost digits; last digit
which of the following graphical depictions displays cumulative data
ogive
how does an ogive differ from a polygon?
ogive is a graph of a cumulative (relative) frequency distribution, while a polygon is a graph of a (relative) frequency distribution
one method of graphical presentation for qualitative data is a
pie chart
based on the pictured histogram (going down from left to right), the distribution is
positively skewed, skewed right
cumulative relative frequency distribution for qualitative data identifies the
proportion of observations that fall below the upper limit of each class
relative frequency distribution for quantitative data identifies the
proportion of observations that occur in each class
when constructing a histogram what values/labels go on the horizontal (x) axis and the vertical (y) axis
quantitative class limits on the horizontal axis; frequency or relative frequency on the vertical axis.
least accurate
the height of each rectangle represents cumulative frequency or cumulative relative frequency
in order to approximate class width for a frequency distribution of quantitative data, we calculate:
(largest value - smallest) / n
new dining plan. residents were asked to give a grade of A, B, C, D, F to the new plan. Of 482 residents, 234-A, 148-B, 87-C, 9-D. How many F's
4
stem and leaf diagrams can be used to
Determine how dispersed the data is. Analyze the shape of the data Observe individual data points
histograms can be used to
Determine the shape of the data. Observe the spread or the variability of the data
new dining plan. 480 residents. 234: B 85: C 13: D 4: F proportion of grades designated as A were
0.30
exam to 50 students. High was 98, low was 48. Frequency distribution is divided into 5 classes. Class width for the data is
10 points
when constructing classes for frequency distribution of quantitative data, which of the following principles should generally be followed
In general, the classes should be the same width. The classes should be mutually exclusive. data should only fit in one class The classes should be exhaustive
bar chart, which is most accurate
a bar chart is a useful graphical tool for qualitative data
one method of graphical presentation for qualitative data is
bar chart
relative frequency distributions are generally more useful than frequency distributions when
comparing data sets of the same size
when a researcher examines quantitative data and wants to know the number of observations that fall below the upper limit of a particular class, the researcher is best served by creating a ____
cumulative frequency distribution
a ____ is a way to organize qualitative data into categories and record the number of observations in each category
frequency distribution
to summarize qualitative data, a useful tool is a
frequency distribution
in descriptive stats, a polygon is a
graph that plots the midpoints of each class of a frequency distribution
there are several guidelines to follow when constructing graphs that summarizes statistical data. Which statement is LEAST accurate
graphs should have a lot of adornments
which graphical depictions are useful to observe the shape of a data set for a single variable
histogram stem and leaf polygon
an ogive is a graph that plots the cumulative frequency, or cumulative relative freq, against the
upper limit of the corresponding class