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Name ___________________________________________
Date ________________________
Grade 6 Statistics and Probability Unit Review
DATA
What is the difference between numerical and categorical data?
__________________________________________________________________________________________________
__________________________________________________________________________________________________
Provide one example of each.
Categorical:
___________________________
Numerical: ___________________________
STATISTICAL QUESTIONS
What is a statistical question? __________________________________________________
__________________________________________________________________________________________________
What is variability? __________________________________________________________________________
Provide an example of a statistical question.
__________________________________________________________________________________________________
BAR GRAPH VS. HISTOGRAM
What is the difference between a BAR GRAPH and a HISTOGRAM?
__________________________________________________________________________________________________
__________________________________________________________________________________________________
DATA DISTRIBUTION
Match each term with the correct definition.
_____Cluster
a. Areas of a distribution where there are no observations
_____Peak
b. Data that tends to have a long tail on one side or the other
_____Skew
c. When data seems to be “gathered” around a particular value
_____Gap
d. Data points that are the highest
_____Symmetry
e. distribution can be divided at the center so that each half
is a mirror image of the other
Decribe the data below using the following:
symmetrical, or u-shaped symmetrical.
skewed right, skewed left, bell-shaped
_____________________ _____________________ ______________________ _____________________
_____________________ _____________________ ______________________ _____________________
What does it mean for a graph to be symmetrical? __________________________________
__________________________________________________________________________________________________
__________________________________________________________________________________________________
SUM IT UP!
Below are the most recent earthquake magnitudes in Oklahoma. Use the data to solve
for each of the measures listed. You may use the space below to show your work.
Mean __________________
Lower Quartile ____________________
Median ________________
Upper Quartile _________________
Mode ________________
Upper Extreme __________________
Range ________________
Interquartile Range (IQR) ____________________
Lower Extreme ________________
Outliers? _____________________
Name ANSWER KEY
Date ________________________
Grade 6 Statistics and Probability Unit Review
DATA
What is the difference between numerical and categorical data?
numerical: all data collected is in the form of numbers
categorical: data collected that can be divided into groups
Provide one example of each.
Categorical:
eye color, month you were born, etc.
Numerical: height, number of pets, etc.
STATISTICAL QUESTIONS
What is a statistical question? A question that anticipates variability in the data that would be
collected in order to answer the question
What is variability? Variability in a data set occurs when the observations in the data set are not all
the same. A statistical question will have variability when there are at least 4-6 answers.
Provide an example of a statistical question.
PA: What is the average number of minutes each 6th grade student spends on homework each night?
BAR GRAPH VS. HISTOGRAM
What is the difference between a BAR GRAPH and a HISTOGRAM?
A histogram displays data in intervals.
DATA DISTRIBUTION
Match each term with the correct definition.
C.
Cluster
D.
Peak
B. Skew
A. Gap
E. Symmetry
a. Areas of a distribution where there are no observations
b. Data that tends to have a long tail on one side or the other
c. When data seems to be “gathered” around a particular value
d. Data points that are the highest
e. distribution can be divided at the center so that each half
is a mirror image of the other
Decribe the data below using the following:
symmetrical, or u-shaped symmetrical.
Skewed Right
skewed right, skewed left, bell-shaped
Bell-shaped symmetrical
Skewed Left
U-Shaped Symmetrical
What does it mean for a graph to be symmetrical?
When data is graphed, a symmetric distribution can be divided at the center so that each half is a mirror
image of the other; i.e. Bell Curve
SUM IT UP!
Below are the most recent earthquake magnitudes in Oklahoma. Use the data to solve
for each of the measures listed. You may use the space below to show your work.
Mean
3.7
Lower Quartile 2.8
Median 3.9
Upper Quartile 4.5
Mode 4.5
Upper Extreme 4.9
Range 4.9-2.2 = 2.7
Interquartile Range (IQR) 4.5-2.8 = 1.7
Lower Extreme
Outliers? NONE
2.2