Math 200
Test 1 Review
Spring 2013
.
Multiple Choice
Identify the choice that best completes the statement or answers the question.
____
1. Finish times (to the nearest hour) for 59 dogsled teams are shown below. Draw a histogram. Use five classes.
261
338
299
332
310
269
360
303
330
318
236
341
277
309
318
244
333
283
327
320
280
261
304
306
333
296
266
305
327
321
284
287
288
285
323
299
296
290
291
324
A)
D)
B)
E)
C)
1
288
313
288
295
327
288
311
289
298
239
249
306
297
306
358
256
306
299
315
____
2. Finish times (to the nearest hour) for 59 dogsled teams are shown below. Draw a relative – frequency
histogram. Use five classes.
261
338
299
332
310
270
360
303
330
318
236
341
277
309
318
244
333
283
327
320
278
261
304
309
333
296
268
305
327
321
284
287
289
285
323
297
296
290
291
324
A)
D)
B)
E)
C)
2
290
313
289
295
327
290
311
290
298
302
250
309
297
306
319
256
309
299
315
____
3. Finish times (to the nearest hour) for 59 dogsled teams are shown below. Draw a histogram. Use five classes.
261
338
299
332
310
275
360
303
330
318
236
341
277
309
318
244
333
283
326
320
278
261
304
309
333
296
268
305
326
321
284
287
286
285
323
298
296
290
291
324
289
313
286
295
327
289
311
287
298
302
250
309
297
306
319
256
309
299
315
The frequency table for the above data is given below.
Class Limits
236 – 260
261 – 285
286 – 310
311 – 335
336 – 360
Boundaries
235.5 – 260.5
260.5 – 285.5
285.5 – 310.5
310.5 – 335.5
335.5 – 360.5
Midpoint
248
273
298
323
348
A)
D)
B)
E)
C)
3
Freq.
4
9
26
17
3
Relative Freq.
0.07
0.15
0.44
0.29
0.05
Cumulative Freq.
4
13
39
56
59
____
4. Assume that the following data represent baseball batting averages (multiplied by 1000) for a random sample
of National League players near the end of the baseball season. The frequency table showing class limits,
class boundaries, midpoints and frequency is given below. Draw a histogram.
Class Limits
107  149
150  192
193  235
236  278
279  321
Boundaries
106.5  149.5
149.5  192.5
192.5  235.5
235.5  278.5
278.5  321.5
Midpoint
128.0
171.0
214.0
257.0
300.0
Frequency
4
3
4
10
5
A)
D)
B)
E) none of these choices
C)
4
____
5. A survey of 1000 adults uncovered some interesting housekeeping secrets. When unexpected company
comes, where do we hide the mess? The survey showed that 64% of the adults toss their mess in the closet,
24% shove things under bed, 8% put things in the bathtub, and 4% put the mess in the freezer. Make a circle
graph to display this information.
A)
D)
B)
E) none of these choices
C)
5
____
6. Use the data given in the following table to make a stem – and – leaf display for milligrams of nicotine per
cigarette smoked. In this case, truncate the measurements at the tenths position and use two lines per stem.
Brand
Brand
Alpine
Multifilter
0.78
0.82
Benson & Hedges
Newport Lights
1.11
0.73
Bull Durham
Now
2.07
0.24
Camel Lights
0.67
Old Gold
1.26
Carlton
Pall Mall Lights
1.08
0.38
Chesterfield
1.04
Raleigh
0.92
Golden Lights
0.76
Salem Ultra
0.42
Kent
0.95
Tareyton
1.01
Kool
True
1.19
0.61
L&M
1.02
Viceroy Rich Light
0.69
Lark Lights
1.01
Virginia Slim
1.02
Marlboro
0.90
Winston Lights
0.82
Merit
0.57
A) 0 2 = 0.2 milligram
04 2 3 7
06 6 6 7 7 8 8 9 9 9
10 0 0 0 0 1 1 1 2
20
B) 0 2 = 0.2 milligram
02 3 4
06 6 6 7 7 7 8 8 9 9 9
10 0 0 0 0 0 0 1 1 2
20
C) 0 2 = 0.2 milligram
04 2 3 6 7
07 6 6 8 7 7 8 8 9 9 9
10 0 0 0 0 1 1 1 2
20
D) 0 2 = 0.2 milligram
04 2 3
07 6 6 6 7 8 8 9 9 9
10 0 0 0 0 1 1 1 2
20
E) none of these choices
6
____
7. The Grand Canyon and the Colorado River are beautiful, rugged, and sometimes dangerous. Assume there is
a physician at the park clinic in Grand Canyon Village. Suppose the physician has recorded (for a 5-year
period) the number of visitor injuries at different landing points for commercial boat trips down the Colorado
River in both the Upper and Lower Grand Canyon.
Upper Canyon: Number of injuries per Landing Point Between
North Canyon and Phantom Ranch
4 5 3
3
5
6
7
10 5
3 5
Lower Canyon: Number of injuries per Landing Point Between
Bright Angel and Lava Falls
0 3 11 4
9 3
3 0
7
8
4
12 5
3
The mean, median, and mode for Upper Canyon are 5.091, 5.0, and 5, respectively.
The mean, median, and mode for Lower Canyon are 5.214, 4.0, and 3, respectively.
Compare the mean, median, and mode found in Upper Canyon and Lower Canyon, respectively.
A) Lower Canyon mean is greater than Upper Canyon, Lower Canyon median is smaller
than Upper Canyon, and Lower Canyon mode is smaller than Upper Canyon.
B) Lower Canyon mean is greater than Upper Canyon, Lower Canyon median is greater than
Upper Canyon, and Lower Canyon mode is greater than Upper Canyon.
C) Lower Canyon mean is smaller than Upper Canyon, Lower Canyon median is smaller
than Upper Canyon, and Lower Canyon mode is smaller than Upper Canyon.
D) Lower Canyon mean is greater than Upper Canyon, Lower Canyon median is greater than
Upper Canyon, and Lower Canyon mode is smaller than Upper Canyon.
E) Lower Canyon mean is greater than Upper Canyon, Lower Canyon median is smaller
than Upper Canyon, and Lower Canyon mode is greater than Upper Canyon.
____
8. The Grand Canyon and the Colorado River are beautiful, rugged, and sometimes dangerous. Assume there is a
physician at the park clinic in Grand Canyon Village. Suppose the physician has recorded (for a 5-year
period) the number of visitor injuries at different landing points for commercial boat trips down the Colorado
River in both the Upper and Lower Grand Canyon. Compute a 5% trimmed mean for Upper Canyon and
Lower Canyon. Round your answer to the nearest thousandth.
Upper Canyon: Number of injuries per Landing Point Between
North Canyon and Phantom Ranch
2 3 1
1
3
4
9
12 3
1 3
Lower Canyon: Number of injuries per Landing Point Between
Bright Angel and Lava Falls
0 1 11 2
11 1
1 0
9
10 2
12 3
1
A)
B)
C)
D)
E)
The 5% trimmed mean for Lower Canyon is 3.333 and for Upper Canyon is 5.417.
The 5% trimmed mean for Lower Canyon is 2.727 and for Upper Canyon is 4.643.
The 5% trimmed mean for Lower Canyon is 2.636 and for Upper Canyon is 3.786.
The 5% trimmed mean for Lower Canyon is 4.333 and for Upper Canyon is 3.222.
The 5% trimmed mean for Lower Canyon is 3.222 and for Upper Canyon is 4.333.
7
____
9. Find the sample standard deviation s for the following sample data. Round your answer to the nearest
hundredth.
24
x:
A)
B)
C)
D)
E)
17
15
33
25
9.58
8.57
7.16
6.40
9.60
____ 10. Compute the population standard deviation  for the following sample data, assuming the sample comprises the
entire population. Round your answer to the nearest hundredth.
x:
A)
B)
C)
D)
E)
21
17
15
35
27
8.12
10.36
2.30
9.27
9.22
____ 11. Do bonds reduce the overall risk of an investment portfolio? Let x be a random variable representing annual
percent return for the Vanguard Total Stock Index (all Stocks). Let y be a random variable representing
annual return for the Vanguard Balanced Index (60% stock and 40% bond). For the past several years, assume
the following data. Compute y .
x:
y:
12
7
A)
B)
C)
D)
E)
107
101
99
106
100
0
1
39
29
25
15
33
26
27
18
28
15
12
1
12
2
25
7
____ 12. Data may be classified by one of the four levels of measurement. What is the name of the lowest level?
A) simple
B) ordinal
C) ratio
D) nominal
E) interval
8
____ 13. Do bonds reduce the overall risk of an investment portfolio? Let x be a random variable representing annual
percent return for the Vanguard Total Stock Index (all Stocks). Let y be a random variable representing
annual return for the Vanguard Balanced Index (60% stock and 40% bond). For the past several years, assume
the following data. Compute y 2 .
x:
y:
12
8
A)
B)
C)
D)
E)
2265
2268
2329
2304
2240
0
5
37
28
24
15
35
25
26
16
27
15
12
5
12
6
24
8
____ 14. Do bonds reduce the overall risk of an investment portfolio? Let x be a random variable representing annual
percent return for the Vanguard Total Stock Index (all Stocks). Let y be a random variable representing
annual return for the Vanguard Balanced Index (60% stock and 40% bond). For the past several years, assume
the following data. Compute a 75% Chebyshev interval around the mean for x-values and also for y-values.
Round your answers to the nearest hundredth.
x:
y:
A)
B)
C)
D)
E)
12
8
0
5
39
28
24
15
33
25
26
18
27
15
12
5
12
6
24
8
for x-values: –10.29 to 54.48 and for y-values: –5.14 to 35.78
for x-values: –31.88 to 54.48 and for y-values: –18.78 to 35.78
for x-values: –31.88 to 24.94 and for y-values: –5.14 to –15.98
for x-values: –18.78 to 35.78 and for y-values: –31.88 to 54.48
for x-values: –31.88 to 24.94 and for y-values: –18.78 to 22.14
____ 15. Do bonds reduce the overall risk of an investment portfolio? Let x be a random variable representing annual
percent return for the Vanguard Total Stock Index (all Stocks). Let y be a random variable representing
annual return for the Vanguard Balanced Index (60% stock and 40% bond). For the past several years, assume
the following data. Compute the coefficient of variation for each fund. Round your answers to the nearest
tenth.
x:
y:
A)
B)
C)
D)
E)
12
10
0
5
38
28
23
15
34
24
25
16
26
15
for x-values: 166.6% , and for y-values: 190.8%
for x-values: 190.8% , and for y-values: 166.6%
for x-values: 190.8% , and for y-values: 258.3%
for x-values: 123.1% , and for y-values: 258.3%
for x-values: 123.1% , and for y-values: 166.6%
9
12
5
12
6
23
10
____ 16. What percentage of the general U.S. population have bachelor’s degrees? Suppose that the Statistical Abstract
of the United States, 120th Edition, gives the following percentage of bachelor’s degrees by state. For
convenience, the data are sorted in increasing order.
17
21
24
26
28
18
21
24
26
29
18
21
24
26
29
18
22
24
26
31
19
22
24
26
31
20
22
25
27
32
20
22
25
27
32
20
22
25
27
34
21
23
25
28
35
21
23
26
28
38
Illinois has a bachelor’s degree percentage rate of about 18%. Into what quartile does this rate fall?
A) first quartile as well as second quartile
B) first quartile
C) second quartile
D) third quartile
E) none of these choices
____ 17. Suppose automobile insurance companies gave annual premiums for top-rated companies in several states. The
figure below shows box plots for the annual premium for urban customers in three states.
Which state has the smallest interquartile range?
A) Pennsylvania as well as California have the smallest interquartile range.
B) Pennsylvania has the smallest interquartile range.
C) Texas has the smallest interquartile range.
D) California has the smallest interquartile range.
E) none of these choices
10
ID: A
.
Answer Section
MULTIPLE CHOICE
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
14.
15.
16.
17.
E
D
A
B
D
B
A
D
C
C
C
D
C
B
B
B
C
1