
Center and Variability Practice
Presentation
•
Mathematics
•
9th - 12th Grade
•
Easy
Standards-aligned
Amanda Ethridge
Used 21+ times
FREE Resource
3 Slides • 17 Questions
1
Median and IQR
Median - the middle value in an ordered data set
●Roughly 50% of the data is below and above the median
●Measures the typical value for data in a skewed distribution
●NOT influenced by all data values
Interquartile Range (IQR) - the middle 50% of the data in a distribution
●Found by subtracting the 1st quartile (Q1) from the 3rd quartile (Q3)
●Measures the variability of a sample with a skewed distribution
2
Multiple Select
Select the (2) measures of CENTER.
Mean
Median
IQR
Standard Deviation
3
Multiple Select
Select the (2) measures of VARIABILITY.
Mean
Median
IQR
Standard Deviation
4
Appropriate Measures of Center and
Variation
The shape of the distribution determines which measure of center
and variability are best.
Use the mean and standard deviation for symmetrical distributions.
Use the median and IQR for skewed distributions or distributions that have outliers.
5
Multiple Choice
If there is an Outlier in the set which measure of CENTER would you use?
Mean
Median
IQR
Standard Deviation
6
Comparing Measures of Center
●
In a symmetric distribution, the mean and the median are
approximately the same.
●
In a right skewed distribution the mean tends to be greater than the
median.
●
In a left skewed distribution the mean tends to be less than the
median.
7
Multiple Choice
If there is an Outlier in the set which measure of VARIABILITY would you use?
Mean
Median
IQR
Standard Deviation
8
Multiple Choice
If there is NOT an Outlier in the set which measure of VARIABILITY would you use?
Mean
Median
IQR
Standard Deviation
9
Multiple Choice
If there is NOT an Outlier in the set which measure of CENTER would you use?
Mean
Median
IQR
Standard Deviation
10
Multiple Select
Which measurements would represent the BEST measures of center & variability for the data set shown?
26, 29, 24, 33, 31, 43, 17, 84, 23, 27, 29
Mean
Median
IQR
Standard Deviation
11
Multiple Select
Which measurements would represent the BEST measures of center & variability for the data set shown?
8, 7, 6, 5, 4, 4, 3, 2, 9, 7
Mean
Median
IQR
Standard Deviation
12
Multiple Select
Study the graph and determine one measure of center and one measure of variability that would best describe the data. (hint: are there outliers?)
Standard Deviation
Median
Mean
IQR
13
Multiple Choice
14
Multiple Choice
15
Multiple Choice
16
Multiple Choice
Type of Data arrangement
Symmetrical
Hairline
Skewed Right
Skewed Left
17
Multiple Choice
Which of the following best describes the shape of the distribution?
SKEWED LEFT
SKEWED RIGHT
SYMMETRICAL
18
Multiple Choice
19
Drag and Drop
20
Drag and Drop
Median and IQR
Median - the middle value in an ordered data set
●Roughly 50% of the data is below and above the median
●Measures the typical value for data in a skewed distribution
●NOT influenced by all data values
Interquartile Range (IQR) - the middle 50% of the data in a distribution
●Found by subtracting the 1st quartile (Q1) from the 3rd quartile (Q3)
●Measures the variability of a sample with a skewed distribution
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