12.3 Distributions of Data
Unit 4: Algebra 1 Notes
Name_______________________
Date________________________
______________ of data shows the _____________ or
_______________ _________________ of each possible
__________ ______________.
HISTOGRAMS
A _______________ is a type of ________ ___________ used to
display data that have been organized into ______________
_______________.
Construct a histogram for the data set below. Use the histogram to
describe the shape of the distribution.
Data Set #1
BOX-AND-WHISKER PLOTS
A _____________________ plot can also be used to identify the
shape of a distribution. A _____________________ plot displays
the ____________ of the __________ set by dividing it into
________ ____________________.
Label the box and whisker plot.
How do we find the quartiles that allow us to construct a boxand-whisker plot?
______________ are common ______________ ___ _________
that divide the data set into _________ groups.
Each___________ contains ___________ of the data,
Lower Quartile (Q1)the ___________ of the __________ half of the data
Median (Q2)the median of the ___________ data set
Upper Quartile (Q3)the ____________ of the ____________ half of the data
Other important numbers…
Minimum-
Maximum-
Where these numbers go on a box-and-whisket plot…
Construct a box-and-whisker plot for the data, and use it to
determine the shape of the distribution.
_________________ Range or ______ is the _____________
between the ___________ and __________ quartiles.
The ________ contains about _______ of the data.
IQR=
An ____________ is an ________________ ________ or
__________________ _________ value when compared to the
rest of the values in the data set.
…below this value.
An outlier is found…
…above this value.
____________________
________________________
Go back to the last data set. Find the IQR. Then, determine
whether this set has any outliers.
Analyzing Distributions
You have learned that __________________________________.
The ______________ and ______________ describe the center.
The ________________________________ and ______________
describe the spread of the data.
-----------------------------------------------------------------------------------------You can use the _____________ of the distribution to choose the
most appropriate statistics that describe the ___________ and
_____________ of the data.
When a distribution is ___________________, the __________
accurately reflects the center of the data and the
________________________ best reflects the distribution.
_____________ have a strong effect on the ___________. So,
when __________ are present and/or the _______________is
____________, the ____________ more accurately reflects the
center of the data and _______________ best reflect the
distribution.
Analyze the data sets below. Determine the best measure of center
and distribution for each set.
_____________________________________________