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The section provides a detailed example of calculating the mode using a frequency table from a survey of family sizes in households. It explains the identification of the modal class and shows the application of the formula for calculating the mode.
In this section, we explore the calculation of mode, a statistical measure that represents the most common value in a data set. A survey of 20 households generated a frequency table showing the distribution of family sizes. The table indicated that the highest frequency occurs in the class range of 3-5 family members, thereby designating this as the modal class. To find the precise mode, we apply the mode formula, substituting in values for class limits and frequencies. This process not only highlights the importance of the modal class but also underscores practical statistical applications in real-life scenarios.
Mode: The most frequently occurring value in a data set.
Frequency Table: A structured way to present how often different values occur.
Modal Class: The specific category with the highest frequency in a frequency table.
When you want to know the most, just look where the numbers boast.
Imagine a family reunion where the most common family size is celebrated, representing the majority—this is similar to the mode in a data set!
FAMP - Frequency, Amount, Modal class, and Practical use.
In a survey of 20 families, the frequency of family sizes was recorded, showing specific patterns indicating population characteristics.
If the mode is calculated to be 3.286, it signifies that family sizes mostly hover around 3-5 members.
Term: Mode
Definition: The value that appears most frequently in a data set.
The value that appears most frequently in a data set.
Term: Frequency Table
Definition: A table that displays the number of occurrences of each value in a data set.
A table that displays the number of occurrences of each value in a data set.
Term: Modal Class
Definition: The class interval in a frequency distribution with the highest frequency.
The class interval in a frequency distribution with the highest frequency.
Term: Class Size
Definition: The difference between the upper and lower boundaries of a class interval.
The difference between the upper and lower boundaries of a class interval.