Math Problem Statement

what is the class width? Number of Social Interactions Frequencies

1515​-2121 1313 2222​-2828 2020 2929​-3535 1515 3636​-4242 1515 4343​-4949 1313 5050​-5656 99 5757​-6363 88 6464​-7070 33 7171​-7777 11 7878​-8484 2

Solution

To find the class width for the given data, we follow these steps:

Step-by-Step Method:

  1. Identify the class intervals: These are the ranges of social interactions in your data, which are:

    • 15-21
    • 22-28
    • 29-35
    • 36-42
    • 43-49
    • 50-56
    • 57-63
    • 64-70
    • 71-77
    • 78-84
  2. Choose any class: For simplicity, pick the first class (15-21).

  3. Class width formula: Class width=Upper limit of the classLower limit of the class\text{Class width} = \text{Upper limit of the class} - \text{Lower limit of the class}

    For the first class, this is: Class width=2115=6\text{Class width} = 21 - 15 = 6

Conclusion:

The class width is 6.

Would you like further details or clarification? Here are 5 related questions to explore:

  1. How does class width affect histogram representation?
  2. How would you calculate class midpoint for each class interval?
  3. What is the range of the dataset, and how is it related to class width?
  4. Can the class width vary across different class intervals?
  5. How would changing the class width affect the interpretation of the data?

Tip: Consistent class width helps maintain a uniform distribution for clearer data analysis.

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Math Problem Analysis

Mathematical Concepts

Statistics
Class Intervals
Frequency Distribution

Formulas

Class width = Upper limit of the class - Lower limit of the class

Theorems

Class width calculation

Suitable Grade Level

Grades 8-10