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© 2014 Pacific Crest
145
T
roubleshooting
Find the error and correct it!
Identify the error and provide a correction:
Benford’s Law provides a probability distribution for the first digit in the numbers in a data set.
Digit
1
2
3
4
5
6
7
8
9
Probability 0.301 0.176 0.125 0.097 0.079 0.067 0.058 0.051 0.046
The distribution has a history of accuratelymodeling a wide variety of data sets, including populations,
lengths of rivers, and mathematical constants. Hank, a local insurance agent, decides to use this
distribution to investigate the amounts of the small claims that people are making at his firm. Over a
round of golf, his friend Roger suggests this might not be such a good idea.
M
aking it Matter
Solving problems in your life
●
Collect data for how long it takes you to commute to school each day and create a distribution. How
can this inform you when making a personal schedule?
●
Collect data for salaries in the profession you plan to pursue and create a probability distribution.
How can this inform you when making a personal schedule?
L
earning to Learn Mathematics
Reflecting on and appreciating your learning
1. How is area related to probability?
2. Why are shapes used to describe the behaviors of distributions?
3. Why do mathematicians create and use probability distributions?
A
ssessing Your Performance
Assessing your performance as a learner
Review the description of
A Successful Performance
and assess your own performance against the
standard offered there.
●
How and why was your performance
SUCCESSFUL
?
●
How can you
IMPROVE
your performance, making it more successful? What
concrete steps
do you
need to take to make each improvement?