Math Exam Worksheet With Answer Key - Math 103/gracey Page 16
ADVERTISEMENT
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22Find the range, variance, and standard deviation for each of the two samples, then compare the two sets of results.
35) When investigating times required for drive-through service, the following results (in seconds)
35)
were obtained.
Restaurant A 120
67
89 97 124 68 72 96
Restaurant B 115 126 49 56
98
76 78 95
A) Restaurant A: 57 sec; 493.98 sec 2 ; 22.23 sec
Restaurant B: 56 sec; 727.98 sec 2 ; 32.89 sec
There is more variation in the times for restaurant B.
B) Restaurant A: 57 sec; 493.98 sec 2 ; 22.23 sec
Restaurant B: 77 sec; 727.98 sec 2 ; 26.98 sec
There is more variation in the times for restaurant B.
C) Restaurant A: 75 sec; 493.98 sec 2 ; 22.23 sec
Restaurant B: 70 sec; 727.98 sec 2 ; 26.98 sec
There is more variation in the times for restaurant B.
D) Restaurant A: 57 sec; 793.98 sec 2 ; 28.18 sec
Restaurant B: 77 sec; 727.98 sec 2 ; 26.98 sec
There is more variation in the times for restaurant A.
Find the standard deviation of the data summarized in the given frequency distribution.
36) A company had 80 employees whose salaries are summarized in the frequency distribution below.
36)
Find the standard deviation.
Salary (dollars)
Employees
5,001-10,000
14
10,001-15,000
13
15,001-20,000
18
20,001 - 25,000
18
25,001-30,000
17
A) $6969.4
B) $7526.9
C) $7317.8
D) $7736.0
Use the range rule of thumb to estimate the standard deviation. Round results to the nearest tenth.
37) The heights in feet of people who work in an office are as follows.
37)
6.0 5.5
5.9 5.4 5.8
5.6
5.7 6.2 5.6
5.6
A) 1.2
B) 0.2
C) 0.1
D) 0.5
Use the empirical rule to solve the problem.
38) The systolic blood pressure of 18-year-old women is normally distributed with a mean of 120
38)
mmHg and a standard deviation of 12 mmHg. What percentage of 18-year-old women have a
systolic blood pressure between 96 mmHg and 144 mmHg?
A) 68%
B) 99.99%
C) 95%
D) 99.7%
Solve the problem.
39) The ages of the members of a gym have a mean of 47 years and a standard deviation of 10 years.
39)
What can you conclude from Chebyshev's theorem about the percentage of gym members aged
between 32 and 62?
A) The percentage is at most 55.6%
B) The percentage is approximately 33.3%
C) The percentage is at least 33.3%
D) The percentage is at least 55.6%
16
ADVERTISEMENT
0 votes
Related Articles
Related forms
Related Categories
Parent category: Education