Math 14, Homework 3.3 p. 159 # 11, 13, 20, 23 – 26 , 29 Name____________________________________________ 11. Driver’s License Exam Scores
The average score on a state CDL license exam is 76 with a standard deviation of
5. Find the corresponding z score for each raw score.
(a) 79
(b) 70
(c) 88
(d) 65
(e) 77
13. Relative Position
Which has a better relative position: a score of 75 on a statistics test with a mean
of 60 and a standard deviation of 10 or a score of 36 on an accounting test with a
mean of 30 and a variance of 16?
Statistics:
Accounting:
Math 14, Homework 3.3 p. 159 # 11, 13, 20, 23 – 26 , 29 20. Airplane Speeds
The airborne speeds in miles per hour of 21 planes are shown. Find the approximate
values that correspond to the given percentiles by constructing a percentile graph.
.0Class
limits
Airborne
speeds
Class boundaries
Frequency
366 – 386
4
387 – 407
2
408 – 428
3
429 – 449
2
450 – 470
1
471 – 491
2
492 – 512
3
513 – 533
4
Relative
frequency
Cum. Relative
frequency
21
1.00
0.90
0.80
0.70
0.60
0.50
0.40
0.30
0.20
0.10
Find the approximate values that
correspond to the following percentiles
Find the approximate percentile
ranks of the following speeds
(a) 9th
(b) 20th
(f ) 380
(g) 425
(c) 45th
(d) 60th
(h) 455
(i) 505
Math 14, Homework 3.3 p. 159 # 11, 13, 20, 23 – 26 , 29 23. Hurricane Damage
Find the percentile rank for each value in the data set. The data represent the
values in billions of dollars of the damage of 10 hurricanes.
Cost of
Percentile
hurricane damage
rank
(in billions of dollars)
Worksteps
1.1
1.7
1.9
2.1
2.2
2.5
3.3
6.2
6.8
20.3
What value corresponds to the 40th percentile?
Math 14, Homework 3.3 p. 159 # 11, 13, 20, 23 – 26 , 29 24. Test Scores
Find the percentile rank for each test score in the data set.
Test Score
Percentile
rank
Worksteps
5
12
15
16
20
21
What score corresponds to the 33rd percentile?
25. Gasoline Taxes
A random selection of state gasoline taxes per gallon is given below. Find the first
and third quartile values for the data.
18
16
35.3
25
23.5
27.1
32.5
Place data values in order into the table below:
First quartile:
Second quartile (median):
Third quartile:
16
22
17.5
19
29.5
7.5
12
Math 14, Homework 3.3 p. 159 # 11, 13, 20, 23 – 26 , 29 26. Sheep Population
The data show the number of sheep in the top 12 major sheep-producing states.
Find the first and third quartiles for the data.
Arizona
California
Colorado
Idaho
Montana
Nevada
160,000
610,000
375,000
220,000
255,000
75,000
New Mexico
Oregon
Texas
Utah
Washington
Wyoming
Place the data values in order in the table below:
First quartile:
Second quartile (median):
Third quartile:
120,000
225,000
830,000
290,000
60,000
375,000
Math 14, Homework 3.3 p. 159 # 11, 13, 20, 23 – 26 , 29 29. Check each data set for outliers.
(a) 16, 18, 22, 19, 3, 21, 17, 20
(b) 24, 32, 54, 31, 16, 18, 19, 14, 17, 20
(c) 321, 343, 350, 327, 200