Exam 2: Describing Data: Frequency Tables, Frequency Distributions, and Graphic Presentation

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For the following distribution of heights, what are the limits for the class with the greatest frequency? For the following distribution of heights, what are the limits for the class with the greatest frequency?

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(i. Pie charts are useful for showing the percent that various components compose of the total. (ii) Simple bar charts may be constructed either horizontally or vertically. (iii) A Frequency Polygon is ideal for showing the trend or sales of income over time.

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Refer to the following cumulative frequency distribution on days absent during a calendar year by employees of a manufacturing company: Refer to the following cumulative frequency distribution on days absent during a calendar year by employees of a manufacturing company:   How many employees were absent six or more days? How many employees were absent six or more days?

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Refer to the following chart showing a distribution of exporting firms: Refer to the following chart showing a distribution of exporting firms:   What is the class interval? _____ What is the class interval? _____

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The grades on a statistics exam for a sample of students are as follows: The grades on a statistics exam for a sample of students are as follows:   If A + = 90%-100% A = 80%-89% B+ = 75%-79% B = 70%-74% C+ = 65%-69% C = 60%-64% D = 55%-59% F = 0%-54% How many student earned a letter grade of C? If A + = 90%-100% A = 80%-89% B+ = 75%-79% B = 70%-74% C+ = 65%-69% C = 60%-64% D = 55%-59% F = 0%-54% How many student earned a letter grade of C?

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The following ages (rounded to the nearest whole year) of employees at a large company that were grouped into a distribution with class limits: 20 up to 30 30 up to 40 40 up to 50 50 up to 60 60 up to 70 (i. The class limits for the class 50 up to 60 class are 50 and 58. (ii. The midpoint for the class 40 up to 50 is 45. (iii) The class interval is 9.

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Refer to the following distribution of commissions: Refer to the following distribution of commissions:   What is the class interval for the table of commissions above? What is the class interval for the table of commissions above?

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The relative frequency for a class is computed as

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When a class interval is expressed as: 100 to under 200 (i) Observations with values of 100 are included from the class frequency. (ii. Observations with values of 200 are included in the class frequency. (iii) Observations with values of 200 are excluded from the class frequency.

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Refer to the following distribution of commissions: Refer to the following distribution of commissions:   What are the class limits for the class with the smallest number of frequencies? What are the class limits for the class with the smallest number of frequencies?

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(i. A frequency table is a grouping of qualitative data into mutually exclusive classes showing the number of observations in each class. (ii) Simple bar charts may be constructed either horizontally or vertically. (iii) A relative frequency table shows the fraction or percent of the number of observations in each class.

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(i. A table showing the number of observations that have been grouped into each of several classes is called a frequency distribution. (ii) When classes in a frequency table are constructed so that data will fit into only one category, it is called a relative class frequency. (iii) The suggested class interval based on number of observations given the data ranges from 100 to 200 with 50 observations is 50.

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(i. A frequency distribution is grouping of data into classes showing the number of observations in each class. (ii) In constructing a frequency distribution, you should try to have open-ended classes such as "Under $100" and "$1,000 and over". (iii) A cumulative frequency distribution is used when we want to determine how many observations lie above or below certain values.

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What is the class midpoint for the $45 up to $55 class? What is the class midpoint for the $45 up to $55 class?

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The following class intervals for a frequency distribution were developed to provide information regarding the starting salaries for students graduating from a particular school: The following class intervals for a frequency distribution were developed to provide information regarding the starting salaries for students graduating from a particular school:   Before data was collected, someone questioned the validity of this arrangement. Which of the following represents a problem with this set of intervals? Before data was collected, someone questioned the validity of this arrangement. Which of the following represents a problem with this set of intervals?

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Refer to the following chart showing a distribution of exporting firms: Refer to the following chart showing a distribution of exporting firms:   How many firms export less than $14 million in product? How many firms export less than $14 million in product?

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Refer to the following distribution of commissions: Refer to the following distribution of commissions:   What is the class midpoint for the class with the greatest frequency? What is the class midpoint for the class with the greatest frequency?

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(i. For a stem-and-leaf display, the leaf for the value 98 is 9. (ii) There is some loss of information when raw data is tallied into a stem-and-leaf display. (iii) A cumulative frequency distribution is used when we want to determine how many observations lie above or below certain values.

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What is the relative class frequency for the $25 up to $35 class? What is the relative class frequency for the $25 up to $35 class?

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Why are unequal class intervals sometimes used in a frequency distribution?

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