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# Determine which of the four levels of measurement

1. Determine which of the four levels of measurement (nominal, ordinal, interval, ratio) is most appropriate.
Nationalities of survey respondents. (Points : 5)
Nominal
Ordinal
Ratio
Interval

2. Perform the requested conversions. Round decimals to the nearest thousandth and percents to the nearest tenth of a percent, if necessary.
Convert the fraction 7/11 to an equivalent decimal and percentage. (Points : 5)
0.756, 75.6%
0.636, 63.6%
0.636, 6.36%
0.756, 756%

3. Identify which of these types of sampling is used: random, stratified, systematic, cluster, convenience.
49, 34, and 48 students are selected from the Sophomore, Junior, and Senior classes with 496, 348, and 481 students respectively. (Points : 5)
Random
Cluster
Systematic
Stratified
Convenience

4. Identify the type of observational study (cross-sectional, retrospective, prospective).
A town obtains current employment data by polling 10,000 of its citizens this month. (Points : 5)
Cross-sectional
Prospective
Retrospective
None of these

The following frequency distribution analyzes the scores on a math test. Find the class midpoint of scores interval 40-59.
Scores Number of students
40-59 2
60-75 4
76-82 6
83-94 15
95-99 5
49.0
50.5
48.5
49.5

8. Find the original data from the stemplot
Stem | Leaves
23 | 45 90
24 | 20 34 73
25 | 45 90
2345, 2346, 2421, 2434, 2473, 2545, 2591
68, 113, 44, 58, 97, 70, 115
68, 113, 58, 58, 97, 70, 115
2345, 2390, 2420, 2434, 2473, 2545, 2590

9. Find the mean for the given sample data. Unless indicated otherwise, round your answer to one more decimal place than is present in the original data values.
The local Tupperware dealers earned these commissions last month:
\$1077.28, \$2661.13, \$4642.11, \$4264.15, \$1019.55, \$3444.20, \$2525.92, \$3740.26, \$3533.07, \$1633.84
What was the mean commission earned? Round your answer to the nearest cent. (Points : 5)
\$3171.28
\$2848.15
\$3567.69
\$2854.15

10. Find the median for the given sample data.
The distances (in miles) driven in the past week by each of a company's sales representatives are listed below.
107, 114, 214, 230, 436, 445
Find the median distance driven. (Points : 5)
222 mi
220.50 mi
230 mi
214 mi

11. Find the midrange for the given sample data.
The speeds (in mph) of the cars passing a certain checkpoint are measured by radar. The results are shown below. Find the midrange.
44.3, 41.4, 42.4, 40.7, 43.1, 40.3, 44.5, 41.4, 44.3, 42.1 43.4 41.4 40.7 43.4 41.4 (Points : 5)
4.20 mph
42.30 mph
42.1 mph
42.40 mph

12. Solve the problem.
A student earned grades of C, A, B, and A. Those courses had these corresponding numbers of credit hours: 4, 5, 1, and 5. The grading system assigns quality points to letter grades as follows: A=4, B=3, C=2, D=1, and F=0. Compute the grade point average (GPA) and round the result to two decimal places. (Points : 5)
8.75
2.18
3.50
3.40

13. Find the range for the given sample data.
The manager of an electrical supply store measured the diameters of the rolls of wire in the inventory. The diameters of the rolls (in meters) are listed below.
0.177, 0.115, 0.542, 0.413, 0.618, 0.315 (Points : 5)
0.503 m
0.138 m
0.115 m
0.542 m

14. Find the variance for the given data. Round your answer to one more decimal place than the original data.
The weights (in ounces) of 10 cookies are shown.
1.47, 0.56, 0.58, 0.86, 1.21, 1, 1.46, 1.44, 0.88, 0.53 (Points : 5)
0.118 oz^2
0.144 oz^2
0.13 oz^2
0.108 oz^2

15. Find the standard deviation for the given sample data. Round your answer to one more decimal place than is present in the original data.
Listed below are the amounts of time (in months) that the employees of a restaurant have been working at the restaurant.
2, 3, 5, 13, 22, 35, 60, 86, 101, 122 (Points : 5)
43.3 months
42.2 months
45.8 months
44.5 months

16. Use the empirical rule to solve the problem.
At one college, GPA's are normally distributed with a mean of 2.9 and a standard deviation of 0.6. What percentage of students at the college have a GPA between 2.3 and 3.5? (Points : 5)
99.7%
84.13%
68%
95%

17. Solve the problem. Round results to the nearest hundredth.
The mean of a set of data is -3.82 and its standard deviation is 2.31. Find the z score for a value of 3.99. (Points : 5)
3.04
3.72
3.68
3.38

18. Find the percentile for the data value.
Data set: 122, 134, 126, 120, 128, 130, 120, 118, 125, 122, 126, 136, 118, 122, 124, 119
data value: 128 (Points : 5)
75
85
62
70

19. Find the indicated measure.
The weights (in pounds) of 30 newborn babies are listed below. Find Q1.
5.5, 5.7, 5.8, 6.0, 6.1, 6.1, 6.3, 6.4, 6.5, 6.6, 6.7, 6.7, 6.7, 6.9, 7.0, 7.0, 7.0, 7.1, 7.2, 7.2, 7.4, 7.5, 7.7, 7.7, 7.8, 8.0, 8.1, 8.1, 8.3, 8.7 (Points : 5)
7.5 lb
6.4 lb
5.8 lb
6.3 lb

20. Find the indicated measure.
The test scores of 32 students are listed below. Find P46.
32, 37, 41, 44, 46, 48, 53, 55, 56, 57, 59, 63, 65, 66, 68, 69, 70, 71, 74, 74, 75, 77, 78, 79, 80, 82, 83, 86, 89, 92, 95, 99 (Points : 5)
14.72
67
68
15

1. Ratio ( can divide and still have meaning)
2. 0.636, 63.6%
3. Stratified (10% selected from each individual class separately)
4. Cross sectional (a sample out of the whole population forms certain point in time.
5. 49.5
8. 2345, 2390, 2420, 2434, 2473, 2545, 2590
9. \$2854.15
10. 222 mi (average. Of two middle points)
11. 42.4 (midrange is highest value+lowest value/2)
12. 3.4
13. .503m (subtract high from low)
14. 0.144 oz^2
15. 44.5 months
16. 68% (1 standard deviation away from the mean)
17. 3.38 (distance between mean and observed/standard deviation)
18. 85
19. Q1 = 6.4
20. 68

If there are any other questions, please let me know. Thank you ^_^