46. Refer to the following wage breakdown for a garment factory. What are the class limits for the class with the smallest frequencies? 47. Refer to the following distribution of ages: For the distribution of ages just shown, what is the relative class frequency for the lowest class? 48. Refer to the following distribution of ages: What is the class interval? 49. Refer to the following distribution of ages: What is the class midpoint of the highest class? 50. Refer to the following information from a frequency distribution for "heights of college women" recorded to the nearest inch: the first two class midpoints are 62.5" and 65.5". What is the class interval?
28. A of 100 students were surveyed about their interest in a new Economics major. Interest was measured in terms of high, medium, or low. In the study, 30 students responded high interest, 50 students responded medium interest, and 20 students responded low interest. What is the best way to illustrate the relative frequency of student interest? Interest is a qualitative, nominal variable. The relative frequencies for a qualitative, nominal variable are best summarized with a pie chart. Reflective Thinking Accessibility: Keyboard Navigation Blooms: Analyze Difficulty: 2 Medium Learning Objective: 02-02 Display a frequency table using a bar or pie chart. Topic: Graphic Presentation of Qualitative Data 29. The monthly salaries of a sample of 100 employees were rounded to the nearest $10. They ranged from a low of $1,040 to a high of $1,720. If we want to condense the data into seven classes, what is the most convenient class interval? ($1720 - 1040)/7 = $97.14. Of the answer choices, a interval of $100 is closest to 97.14. Analytic Accessibility: Keyboard Navigation Blooms: Understand Difficulty: 2 Medium Learning Objective: 02-03 Summarize quantitative variables with frequency and relative frequency distributions. Topic: Constructing Frequency Distributions 30. A student was studying the political party preferences of a university's student population. The survey instrument asked students to identify themselves as a Democrat or a Republican. This question is flawed because:
106. Ages (rounded to the nearest whole year) of employees at a large company were grouped into a distribution with the following class limits: 20 up to 30 30 up to 40 40 up to 50 50 up to 60 60 up to 70 What is the class interval? 10 Feedback: The interval is the difference between the lower or upper class limits of adjacent classes. AACSB: Communication Blooms: Remember Difficulty: 2 Medium Learning Objective: 02-03 Summarize quantitative variables with frequency and relative frequency distributions. Topic: Constructing Frequency Distributions 107. The first three class marks for a frequency distribution of "weights of college men" recorded to the nearest pound are 105, 115, and 125. What is the class interval? 10 Feedback: The interval is the difference between the class marks or midpoints of adjacent classes. (115 - 105 = 10, or 125 - 115 = 10). AACSB: Analytic Blooms: Apply Difficulty: 3 Hard Learning Objective: 02-03 Summarize quantitative variables with frequency and relative frequency distributions. Topic: Constructing Frequency Distributions 108. The first three class marks for a frequency distribution of "weights of college men" recorded to the nearest pound are 105, 115, and 125. What is the lower limit for the third class? 120 Feedback: The class interval is 10. The class marks are the same as the class midpoints. Therefore, the upper and lower limits for a class are the class mark plus or minus half of the class interval. For the third class, the lower limit is 125 - ½(10) = 120. AACSB: Analytic Blooms: Apply Difficulty: 3 Hard Learning Objective: 02-03 Summarize quantitative variables with frequency and relative frequency distributions. Topic: Constructing Frequency Distributions