3. AIM: Most Appropriate Measure
of Central Tendency
Do Now
The table below shows the leading shot blockers in the
WNBA during the 2001 season.
Player Shots Blocked
Vicky Bullet 58
Margo Drydek 113
Lauren Jackson 64
Lisa Leslie 71
Maria Stepanoya 64
1.) Read the following definition:
Outlier: A value that is much less or much more than the
other values.
2.) Based on that definition, what is the outlier in the Shots
Blocked data set?
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4. Anticipatory Set
We will now explore the affect of the outlier on the
measures of central tendency.
Player Shots Blocked
Vicky Bullet 58
Margo Drydek 113
Lauren Jackson 64
Lisa Leslie 71
Maria Stepanoya 64
With Outlier Without Outlier
Data Set: 58 6464 58 64
71 113
Data Set:
64 71
Measures of Central Tendency: Measures of Central Tendency:
1.) How does the outlier affect the mean and median of the data?
2.) Which is the most appropriate measure of central tendency?
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6. Think-Pair-Share Activity:
1.) The data shows Sara‛s scores for the last 5 math tests:
, , , ,
88 90 55 94 89
a.) What is the outlier?
b.) What is the mean and median with the outlier?
88 89
55 90 94
c.) What is the mean and median without the outlier?
88 89
90 94
d.) How does the outlier affect the mean and median of the
data?
e.) Which is the most appropriate measure of central
tendency?
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7. 2.) For the following data sets, select whether the mean or the
median would be the most appropriate measure of central tendency.
Provide a reason.
a.) 50, 52, 60, 58, 54, 55
b.) 7, 4, 30, 9, 5, 2
c.) -60, -58, 65, -62, -59, -55
d.) -2, 1, 0, -4, -3, 5, 2
e.) Pizza, Hamburger, Chicken, Pizza, Pizza
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8. 2.) For the following data sets, select whether the mean or the
median would be the most appropriate measure of central tendency.
Provide a reason.
a.) 50, 52, 60, 58, 54, 55 Mean, no outlier
b.) 7, 4, 30, 9, 5, 2 Median, outlier present
c.) -60, -58, 65, -62, -59, -55 Median, outlier present
d.) -2, 1, 0, -4, -3, 5, 2 Mean, no outlier
e.) Pizza, Hamburger, Chicken, Pizza, Pizza
Mode, data is not numerical
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9. BEFORE YOU LEAVE:
1.) Create a data set below.
2.) Trade your sheet with your partner.
3.) Would the mean or the median better represents the data
set and provide an explanation.
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11. AIM: Most Appropriate Measure
of Central Tendency
Outlier: A value that is much less or much
more than the other values.
2.) For the following data sets, select whether the mean or the
median would be the most appropriate measure of central tendency.
Provide a reason.
a.) 50, 52, 60, 58, 54, 55 Mean, no outlier
b.) 7, 4, 30, 9, 5, 2 Median, outlier present
c.) -60, -58, 65, -62, -59, -55 Median, outlier present
d.) -2, 1, 0, -4, -3, 5, 2 Mean, no outlier
e.) Pizza, Hamburger, Chicken, Pizza, Pizza
Mode, data is not numerical
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