Exam 1 True or False (1 pt. Each) The amount of time it takes to drive to work would be an example of
Exam 1
True or False (1 pt. Each)
- The amount of time it takes to drive to work would be an example of qualitative data.
- The heights of basketball players are an example of continuous variables.
- Ordinal level of measurement consists of ranking data and precise differences between units of measure exist.
- A person's eye color is an example of nominal level of data.
- Dogs at a pet show are rated so as to determine "best-of-show". This would be an example of ordinal level of data.
- The mode is found by adding the values of the data and dividing by the total number of values.
- If the standard deviation is small, the data is more dispersed.
- Decile one would correspond to percentile 90.
- The upper class boundary of the class 20-30 is 30.
10. Dorothy asked 30 mothers how many children they had. The number of children is an example of a continuous variable.
Solving Problems
-
(5pts.) A questionnaire on housing arrangements showed the following information obtained from 30 respondents.
Construct a frequency distribution and a Pareto chart for the following data.
H = house A = Apartment M = mobile home C = condominium
H C H M C A C A M C
M C A M A C C M C C
H A H H M C A M A C - (5 pts.) When 36 randomly selected customers left a convenience store, each was asked the number of items he or she purchased. Construct a frequency distribution. histogram, and frequency polygon for the data.
| 2 | 9 | 4 | 3 | 6 | 6 | 6 | 2 | 8 | 6 | 5 | 5 |
| 7 | 5 | 3 | 8 | 6 | 6 | 6 | 2 | 3 | 2 | 4 | 4 |
| 6 | 9 | 9 | 8 | 9 | 9 | 4 | 2 | 1 | 7 | 4 | 4 |
| 3. (5pts.) |
The temperature of Singing River was recorded at 6 P.M. each day for the month
of April. Construct a histogram, and ogive using relative frequencies for the data. Use six classes. |
||||||||||
| 54 | 53 | 48 | 51 | 49 | 49 | 50 | 53 | 58 | 48 | 42 | 50 |
| 54 | 53 | 54 | 57 | 56 | 55 | 47 | 48 | 51 | 57 | 55 | 42 |
| 46 | 43 | 44 | 43 | 47 | 46 | ||||||
- (5pts.) The following data represents the expenses of Chemistry Lab, Inc. for research and development for the years indicated. Each number represents millions of dollars. Draw a time series graph to represent the data. Be sure to use the same scale.
| Year | Amount |
| 1965 | $ 8,937 |
| 1970 | 9,388 |
| 1975 | 11, 271 |
| 1980 | 13. 271 |
| 1985 | 19. 203 |
5. (5pts.) In a study of 100 working teenagers, ages 16-18 the following numbers had given the major reasons for working as shown here. Construct a pie graph for the data.
| Reason | Number |
| To buy a car | 45 |
| To pay for education | 39 |
| For spending money | 12 |
| Other | 4 |
6. (l0pts.) The following temperatures were recorded in Nevada for a week in April.
87 85 80 78 83 86 90
Find each of the following: Must use formulas and show work.
- mean
- median
- mode
- midrange
- range
- variance- must use formula and show work
- g standard deviation
- z score for a temperature of 85
7. (10 pts.) Shown is a frequency distribution for the number of inches of rain received in one year in 25 selected cities in the United States.
| Number of inches | Frequency |
| 5.5-20.5 | 2 |
| 20.5-35.5 | 3 |
| 35.5-50.5 | 8 |
| 50.5-65.5 | 6 |
| 65.5-80.5 | 3 |
| 80.5-95.5 | 3 |
Find each of the following: Must use formulas and show work.
- mean
- modal class
- variance
- standard deviation
8. (3pts.) In a survey of third ;Trade students, the following distribution was obtained for the number of "best friends" each had. Find the average number of "best friends" for the class. Use the weighted mean.
| Number of students | Number of best friends |
| 8 | 1 |
| 6 | 2 |
| 5 | 3 |
| 3 | 0 |
- (4pts.) A sample of the labor costs per hour to assemble a certain product has a mean of $2.60 and a standard deviation of $0.15. Using Chebyshev's Theorem, find the values in which at least 88.89% of the data will lie.
10. (10 pts.) The number of credits in business courses eight job applicants is shown:
9 12 15 27 33 45 63 72
- Find the percentile rank for a value of 45
- What value corresponds to the 40 th percentile?
- Construct a box and whisker plot and comment on the nature of the distribution.
11. (5pts.) The number of visitors to the Historic Museum for 27 randomly selected hours is shown below. Construct a stem and leaf plot for the data.
| 15 | 53 | 48 | 19 | 38 | 47 | 86 | 63 | 22 |
| 98 | 79 | 38 | 53 | 62 | 89 | 67 | 39 | 76 |
| 26 | 41 | 28 | 35 | 54 | 88 | 76 | 68 | 31 |
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