Q
uantitative
R
easoning &
P
roblem
S
olving
310
© 2014 Pacific Crest
3. Change the World Cup team in the model by adding a different player to increase and decrease the
variance.
4. Answer the Critical Thinking Questions.
5. Find examples in life where variance of that set of data would be important.
6. Complete the remainder of this activity (from Demonstrate Your Understanding through Assessing
Your Performance) on your own, or as directed by your instructor.
M
odel(s)
Exemplars and representations
V
ariation
in
A
ges
for
the
US M
en
’
s
2014 W
orld
C
up
T
eam
Scenario:
Examine the variation of ages on the US Men’s 2014 World Cup Team. Compute
the variance and standard deviation.
Jozy Altidore
24
Timmy Chandler
24
Aron Johannsson 23
DaMarcus Beasley 32
Brad Davis
32
Fabian Johnson
26
Kyle Beckerman 32
Clint Dempsey
31
Jermaine Jones
32
Alejandro Bedoya 27
Mix Diskerud
23
Nick Rimando
34
Matt Besler
27
Omar Gonzalez
25
Chris Wondolowski 31
Michael Bradley
26
Julian Green
19
DeAndre Yedlin
20
John Brook
21
Brad Guzan
29
Graham Zusi
27
Geoff Cameron
28
Tim Howard
35
Step
Model
1.
Describe the data
Contains the set of ages, in years, of the members of the USWorld Cup Soccer
as of the first day of the tournament. The data set is not nominal so it is fair to
compute the variance and the standard deviation.
2.
Visualize
17.4 20.28 23.16 26.04 28.92 31.8 34.68
3.
Calculate mean
Sum = 628 Mean =
x
= 628 ÷ 23 = 27.30434783