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Sharon Ng’s Statistics Final Notes
1)
For the question “How many children have you ever had?” in the 2006 General Social Survey, the results were:
# children
0
1
2
3
4
5
6
7
8+
Count
1216
710
1147
738
386
139
83
43
35
a)
Find the mean, median, mode, SD, Q1, and Q3.
Calculator: calc
option 1
Mean = 1.90; mode = 0; median = 2; s = 1.68; Q1 = 0; Q3 = 3
b)
Based on the sketching or using software to construct the graph, characterize this distribution as skewed to the left, skewed to the
right, or symmetric. Explain.
Skewed to the right
2)
The table shows a short excerpt from a “car weight and mileage” data file. That file lists several 2004 model cars with automatic
transmission and their x=weight (lbs) and y=mileage (mi/gal of gas). Find the predicted mileage for a Hummer H2. Interpret.
Automobile Brand
Weight
Mileage
Honda Accord Sedan LX
3164
34
Toyota Corolla
2590
38
Dodge Dakota Club Cab
3838
22
Jeep Grand Cherokee Laredo
3970
21
Hummer H2
6400
17
Calculator: calc
option 8… where’s r?
r ~ 0.84 high negative correlation
y = 47.32 – 0.005x
x = 6400
y = 47.32 – 0.005(6400) = 15.32
3)
For the normal height distribution of adult females in North American (u=65.0 in, sigma=3.5 in), find the proportion who are:
a)
Under 60 inches b) over 72 inches
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 Winter '09
 Staff
 Statistics, Mean, Median, Mode

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