Math Problem Statement

MATH21.docx

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Solution

To create a frequency distribution table from the given data set of heights, we will:

  1. Define appropriate intervals to capture the range of data.
  2. Count the frequency of heights that fall within each interval.

Step 1: Data Analysis

  • Range of Heights: The smallest height is 145 cm, and the largest is 167 cm.
  • Suggested Intervals: Using 5 cm intervals would provide clear groupings.

Step 2: Frequency Distribution Table

Height Interval (cm)Frequency
145 - 1497
150 - 15410
155 - 15913
160 - 16412
165 - 1693

This table provides a summarized view of the distribution of heights across specified intervals. Let me know if you'd like detailed calculations or further analysis.


Related Questions:

  1. How is the range of a dataset calculated?
  2. What are some other ways to determine interval sizes?
  3. How can cumulative frequency be used in a distribution table?
  4. Why might different intervals produce different insights?
  5. How can this frequency table be used to calculate the mean or median?

Tip: Organizing data into intervals is particularly helpful for visualizing distributions and identifying patterns.

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Math Problem Analysis

Mathematical Concepts

Statistics
Frequency Distribution
Data Analysis

Formulas

Frequency = Count of values within each interval

Theorems

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Suitable Grade Level

Grades 7-10