SOSC 303 AGMU Applied Statistics to Social Science Exercises

1) What type of Variable? Categorical or Numerical. If numerical, is it discrete or
continuous?
a. Types of diseases
b. Ticket Price ($)
c. Freshmen
d. Marriage
e. Music Beats
f. San Francisco (City)
g. Wage Rate ($/hour)
h. Amount of Sugar in a cup of coffee (grams)
i. Weight (pounds)
j. Social Class (Low Income, Middle Income, High Income)
2) Define a survey with 10 questions about a presidential race.
3) Give an example of /or wording7hen designing a survey about a presidential race.
4) Give an example of non-response bias in a survey of a presidential race.
5) Identify the following items (if possible). If you can’t tell, then say so 4his often happens
when we read about a survey.
a. The population
b. The population parameter of interest
c. The sampling frame
d. The sample
e. The sampling method, including whether or not randomization was employed
f. Any potential sources of bias you can detect any problems using generalizing to the
population of interest
Researchers waited outside a bar they had randomly selected from a list of such
establishments. They stopped every 10th person who came out of the bar and asked
whether he or she thought drinking and driving was a serious problem.
6) Bob is a taxi driver who keeps a record of his meter readings.
The result of the past twenty- meter readings are given in miles:
328, 333, 358, 400, 433, 520, 340, 455, 465, 300,
280, 512, 425, 328, 395, 433, 395, 448, 390, 260
Make a stem and leaf plot.
7) Alexandra took a survey during 4th hour about what students
enjoyed doing most. Here is what they responded:
S= Sleep, TV= Television, SP=Sports, F=Friends, V=Videos
S TV TV F F V F F SP SP SP SP SP SP
S S F SP TV F TV SP F S F SP S TV
a- Make a pie chart.
b- Make a bar chart.
8) Sports: Dog Sled Racing- How long does it take to finish the
1161- mile Iditarod Dog Sled Racing from Anchorage to Nome
Alaska. The finish times to the nearest hour for 57 dogsled
teams are given below:
261 271 236 244 279 296 284 299 288 288 247 256
338 360 341 333 261 266 287 296 313 311 307 307
299 303 277 283 304 305 288 290 288 289 287 299
332 330 309 328 307 328 285 291 295 298 306 315
310 318 318 320 333 321 323 324 327
Make a histogram using five classes.
Central Tendency
1.
For each of these sets of data
(a) find the mode, mean, and median
(i)
The ages of students in a class in years and months.
14.1 14.11 14.5 14.6 14.0
14.7 14.7 14.9 14.1 14.2
14.6 14.5 14.8 14.2 14.0
14.9 14.2 14.8 14.11 14.8
(ii) Students-arks on an examination paper.
55
39
2.
78
45
45
66
54
71
0
52
62
71
43
0
56
0
71
59
A bag contained six counters numbered 1, 2, 3, 4, 5
and 6. A counter was drawn from the bag, its
number was noted, and then it was returned to the
bag. This was repeated 100 times. The results were
recorded in a table giving the frequency
distribution shown.
(i)
State the mode.
(ii) Find the mean.
3.
A sample of 50 boxes of matches with stated
contents 40 matches was taken. The actual
number of matches in each box was recorded.
The resulting frequency distribution is shown in
the table.
65
61
0
56
67
59
75 51
64 57
100
63
Number, ??
Frequency, ?
1
15
2
25
3
16
4
20
5
13
6
11
Number of matches, ??
Frequency, ?
37
5
38
5
39
10
State the mode.
40
8
(ii) Find the mean.
41
7
42
6
43
5
44
4
(i)
4. Find the mean.
Boundaries
Frequency
5-10
2
10-15
3
15-20
4
20-25
1
5. Find the final grade of a student in STAT 300 who scored the following:
Category
Test Average
Quiz
Classwork
Homework
Participation
Score
84
76
95
98
100
Weight
40%
25%
10%
20%
5%
Spread
1) Find the range, standard deviation of 3, 5, 9, 15
2) Find the range and standard deviation of:
5, 10, 20, 40
3) Find the standard deviation and Variance of:
5, 10, 20, 25
4) Find the Standard Deviation, First Quartile, Third Quartile, and
Interquartile Range.
a-
12, 15, 18, 18, 30, 30, 20, 20, 10
b-
8, 6, 10, 11, 18, 20, 25, 15, 22, 26
c-
3, 9, 9, 3, 10, 12
d-
6, 7, 8, 4, 2

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