Managerial Statistics: Frequency Distributions
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Questions and Answers

What is the correct formula to calculate the degrees for a class in a pie chart?

  • Degrees = $\frac{n}{f} \times 360°$
  • Degrees = $\frac{f \times 360°}{n}$
  • Degrees = $f \times n$
  • Degrees = $\frac{f}{n} \times 360°$ (correct)

    • What is a frequency distribution primarily used for?

  • Organizing raw data in table form (correct)
  • Transforming qualitative data into quantitative data
  • Calculating averages of data sets
  • Creating graphical representations of data

    • Which specialization has the highest frequency according to the provided data?

  • Human Resource
  • Accounting
  • E-Business
  • Marketing (correct)

    • Which blood type had the highest representation in the pie chart?

    <p>O</p> Signup and view all the answers

    Based on the flavor data, how many children preferred 'Kesar-pista' ice cream?

    <p>60</p> Signup and view all the answers

    What is the total frequency of the categories in the ice cream survey?

    <p>250</p> Signup and view all the answers

    What does a class in a frequency distribution represent?

    <p>A quantitative or qualitative aspect of data</p> Signup and view all the answers

    Which of the following statements is true about pie charts?

    <p>Pie charts represent categorical data.</p> Signup and view all the answers

    What does the frequency of a class indicate?

    <p>The number of data values placed in that class</p> Signup and view all the answers

    Which blood type had the lowest number of inductees based on the provided frequency distribution table?

    <p>AB</p> Signup and view all the answers

    What is the total number of inductees represented in the frequency distribution table?

    <p>30</p> Signup and view all the answers

    In the course outlined, what is emphasized alongside the use of statistical tools?

    <p>Practical computing skills</p> Signup and view all the answers

    What type of graph was used to represent the distribution of blood types?

    <p>Pie chart</p> Signup and view all the answers

    What is the total sample size of the initial data set of blood types?

    <p>22</p> Signup and view all the answers

    How many individuals have blood type B in the frequency distribution?

    <p>7</p> Signup and view all the answers

    How many total students scored F in the grades distribution?

    <p>6</p> Signup and view all the answers

    What is the highest frequency of marks obtained in the Accounting class?

    <p>5</p> Signup and view all the answers

    Which blood type has the least frequency in the given distribution?

    <p>AB</p> Signup and view all the answers

    In the grades distribution, how many students scored grade D?

    <p>6</p> Signup and view all the answers

    Based on the Accounting marks, how many students scored 23?

    <p>4</p> Signup and view all the answers

    How many different blood types are represented in the sample data?

    <p>4</p> Signup and view all the answers

    What is the total percentage represented in the 'Relative Frequencies (%)' column?

    <p>100%</p> Signup and view all the answers

    In a hypothetical frequency distribution, if the 'More than Cumulative Frequencies' for the class limit of 30-35 is 5, how many data points exceed this class limit?

    <p>5</p> Signup and view all the answers

    Which graphical representation is specifically used for categorical data?

    <p>Bar Chart</p> Signup and view all the answers

    If the class limit for a grouped frequency distribution is 25-30, which of the following marks would fall into this class?

    <p>27</p> Signup and view all the answers

    What is the purpose of constructing a grouped frequency distribution?

    <p>To simplify and summarize large datasets</p> Signup and view all the answers

    Which of the following is not a type of graph commonly used for presenting data?

    <p>Scatter Plot</p> Signup and view all the answers

    If students scored marks of 41, 45, and 55, which relative frequency would be most closely associated with the frequency for marks in the range of 40-45?

    <p>40%</p> Signup and view all the answers

    How many classes are indicated for constructing the grouped frequency distribution in Exercise-4?

    <p>7 classes</p> Signup and view all the answers

    What is the total number of class limits represented in the 'Class Limit' column?

    <p>5</p> Signup and view all the answers

    What describes a cumulative frequency distribution?

    <p>It displays the cumulative number of data values less than or equal to each upper boundary.</p> Signup and view all the answers

    How many grams per serving classes were used in the frequency distribution for the cakes?

    <p>5</p> Signup and view all the answers

    Which of the following statements about cumulative frequency is true?

    <p>The last cumulative frequency must equal the total number of data values.</p> Signup and view all the answers

    In the given temperature data, which temperature appears most frequently?

    <p>118</p> Signup and view all the answers

    What is the purpose of the 'Relative Frequencies (%)' column in a frequency distribution?

    <p>To compare frequencies as a fraction of the total frequency.</p> Signup and view all the answers

    What is the upper boundary of the first class limit in a frequency distribution?

    <p>15</p> Signup and view all the answers

    Which of the following frequencies would be classified in the class limit 20-25?

    <p>23</p> Signup and view all the answers

    What defines a heterogeneous distribution?

    <p>All outcomes are nearly equally likely.</p> Signup and view all the answers

    Which of the following best describes a homogeneous distribution?

    <p>Values cluster around one or more values with low occurrences in others.</p> Signup and view all the answers

    What type of frequency distribution is used for nominal-level data?

    <p>Categorical frequency distribution</p> Signup and view all the answers

    When would you use a grouped frequency distribution?

    <p>For quantitative data with a large range.</p> Signup and view all the answers

    In a frequency distribution, what is the primary purpose of the tally column?

    <p>To count occurrences of each class in an organized way.</p> Signup and view all the answers

    Which statement about ungrouped frequency distribution is true?

    <p>It applies to quantitative data with relatively small range or discrete data.</p> Signup and view all the answers

    Given a sales report with categories North, South, East, and West, what type of data does this report likely represent?

    <p>Nominal-level data</p> Signup and view all the answers

    What is the relationship between the class limits and the frequency columns in a frequency distribution table?

    <p>Class limits define the categories while the frequency indicates how many observations fall within them.</p> Signup and view all the answers

    Study Notes

    Frequency Distributions and Graphs

    • This chapter focuses on frequency distributions and graphs in statistics.
    • The course is Managerial Statistics (BSMS2209).
    • The course is part of the College of Economics and Business Administration.
    • The objective is developing practical computing and problem-solving skills using appropriate statistical tools and graphs, along with spreadsheets for data management and analysis.
    • A learning outcome is creating and interpreting tables and graphs to organize and present data sets.
    • Key topics in the chapter include organizing data, frequency distribution, different types of frequency distributions, cumulative frequency distribution, and graphical presentation.

    Organizing Data

    • Raw data is data in its original form.
    • Data is organized using descriptive statistical methods to create frequency distributions and graphs.

    Frequency Distributions

    • A frequency distribution is the organization of raw data into a table with classes and frequencies.
    • A class is a category or range of values.
    • The frequency of a class is the number of data values that fall within that class.

    Types of Frequency Distributions

    • Categorical frequency distributions are used for nominal or ordinal level data.
    • Ungrouped frequency distributions are used for quantitative data with a small range or discrete data.
    • Grouped frequency distributions are used for quantitative data with a larger range.

    Cumulative Frequency Distribution

    • This shows the number of data values less than or equal to each upper boundary.
    • Values are found by adding frequencies of classes less than or equal to a specific class's upper boundary.

    Graphical Presentation

    • Common graphs include bar charts, pie charts, histograms, frequency polygons, and ogive (cumulative frequency graph).

    Examples

    • Examples include organizing blood type data from a sample of 25 people (A, B, AB, O).
    • Other examples are frequency distributions involving grades and marks obtained in accounting, high temperatures, and weights.
    • Illustrative data sets like weekly wages, sales figures, and ice cream preferences are used to explain and exemplify different methods and concepts.

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    Frequency Distributions and Graphs PDF

    Description

    Explore the concepts of frequency distributions and graphs in Managerial Statistics (BSMS2209). This quiz will help you develop practical skills in organizing data and interpreting graphical presentations, essential for effective data analysis in business contexts.

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