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AMDM
Analyzing Numerical Data
Review
Name: _KEY______________________________________ Date: _____________________________
1. According to Social Security Number Verification Service since 1973 social
security numbers have been assigned using the following method. The first three
digits are determined by the ZIP Code of the mailing address shown on the
application for the Social Security number and the rest have restrictions against
the middle two (group #) being 00 and the last four (serial #) being 0000. In
Texas, the SSN may begin with 449 – 467 or 627 - 645. On June 25, 2011, Social
Security changed the process to SSN Randomization to better protect the identity
of each individual.
Using this information, how many SSN’s may be assigned in Texas? According to
the US Census Bureau the population of Texas in 2009 was 24,782,302; will we run
out of numbers?
ABC = 449-467 or 627-645 = 38 #s DE-10 #s for each FGHI-10 #s for each
38*10*10*10*10*10*10 with no restrictions =38,000,000 minus
If the two middle numbers cannot be 00: 38*1*1*10*10*10*10=380,000
And the last four numbers cannot all be zero: 38*10*10*1*1*1*1=3800
38,000,000-380,000-3800=37,616,200
Or first two numbers =38, middle two numbers =99 numbers, last four #s = 9999
38*99*9999=37,616,200
2. All 5-digit zip codes in the United States are assigned by region. In Texas, all zip
codes begin with the number 7 while the second digit is restricted to numbers
from 5 to 9. There is no restriction on the remaining digits. How many zip code
combinations are possible in Texas?
1 * 5 * 10 * 10 * 10 = 5,000
3. Using your knowledge of aspect ratios, find the difference between the actual
screen size or area of an older style TV with an aspect ratio of 4:3 and a newer TV
with an aspect ratio of 16:9 assuming both TV’s have a measurement of 52
inches. Which TV actually has more screen area? (show all work and justify your
answer)
3 : 4 : 5  31.2 : 41.6 : 52
9 : 16 : 18.358  25.497 : 45.328 : 52
2
A = 1,297.92 in.
A = 1,155.73 in.2
4. Your grandmother has an old standard (4:3) 32-inch tv. While watching a wide
aspect ratio (16:9 image) version of a movie on her old tv, she noticed how small
the viewing area looked. What were the dimensions of the movie displayed on
her tv?
14.4
25.6
25.6
19.2
AMDM
Analyzing Numerical Data
Review
5. Use the following grading scale to figure out what you need on your final to get
an A (≥ 89.5) in the class.
Grading System
Test Average – 50%
Final Exam Grade – 20%
Homework – 20%
Class Participation – 10%
Your grades: Test Average: 87, Homework: 92, Participation: 90
87(.5) + 92(.2) + 90(.1) + x(.2) ≥ 89.5
x ≥ 93
6. Bob worked for 15 consecutive days, earning an average wage of $ 90 per day.
During the first 7 days, his average wage was $ 87/day, and his average wage
during the last 7 days was $ 92 /day. What was his wage on the 8th day?
(87 * 7 + x + 92 * 7) / 15 = 90
x = 97
7. Determine the check digit (d) for the UPC number 02467936163d.
3 (0 + 4 + 7 + 3 + 1 + 3) + (2 + 6 + 9 + 6 + 6 + d)
54 + 29 + d
d=2
8. Consider the following Fermi question. Make a rough estimate, and justify your
estimate. List any assumptions that you make.
“How many golf balls can fit into a suitcase?”
Ball: V = 4/3 Π r3 = 4/3 Π (1.4 in)3 = 11.494 in.3
Suitcase is 22 in. x 14 in. x 9 in. = 2,772 in.3
2,772 in.3 / 11.494 in.3 ≈ 241
9. One rule of thumb for estimating crowds is that each person occupies 2.5 square
feet. Use this rule to estimate the size of the crowd watching a parade along a 2mile section that is 5 feet deep on both sides of the street.
1
x

2
2.5 ft. 105, 600 ft.2
x  42, 240 people
10. A 2 cm cube holds 468 grains of rice. How many grains of rice would fit in a box
with dimensions 6 cm x 2 cm x 12 cm?
468 grains
x

3
8 cm.
144 cm.3
x  8, 424 grains