Math Problem Statement

Identify the lower class limits, upper class limits, class width, midpoints, and class boundaries for the given frequency distribution. Identify the number of individuals included in the summary.

Solution

To answer the question shown in the image, we need to identify the lower class limits based on the age intervals provided. Here’s how we approach the problem:

Age Intervals Given:

  • 21-30
  • 31-40
  • 41-50
  • 51-60
  • 61-70

Step 1: Identify the Lower Class Limits

The lower class limit is the smallest value that can belong to each interval. So, for each interval:

  • The lower class limit of 21-30 is 21.
  • The lower class limit of 31-40 is 31.
  • The lower class limit of 41-50 is 41.
  • The lower class limit of 51-60 is 51.
  • The lower class limit of 61-70 is 61.

Answer:

The lower class limits in ascending order are: 21, 31, 41, 51, 61.

Would you like more details or have any other questions?


Here are 5 related questions you might want to explore:

  1. How do you determine the upper class limits for the given intervals?
  2. What is the class width for these intervals?
  3. How would you calculate the class midpoint for each interval?
  4. How do you determine the class boundaries if there were no gaps between intervals?
  5. What is the total number of individuals based on the frequency given?

Tip: When working with frequency distributions, ensure that you clearly distinguish between class limits and class boundaries to avoid confusion in calculations.

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Math Problem Analysis

Mathematical Concepts

Frequency Distribution
Class Limits
Class Width
Midpoints

Formulas

Lower Class Limit: The smallest value that can belong to a class interval.
Upper Class Limit: The largest value that can belong to a class interval.
Class Width: Class Width = Upper Class Limit - Lower Class Limit.
Midpoint: Midpoint = (Lower Class Limit + Upper Class Limit) / 2

Theorems

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Suitable Grade Level

Grades 9-12