Math Problem Statement

How many of the trees are more than 8 m tall but not more than 16 m tall?

Solution

The problem asks for how many trees are more than 8 meters tall but not more than 16 meters tall, based on the table provided.

Let's analyze the table:

  • The height ranges are given in intervals, and we are interested in the heights that are more than 8 meters but not more than 16 meters.
  • These heights fall within the intervals:
    • 8<h128 < h \leq 12 with a frequency of 12 trees.
    • 12<h1612 < h \leq 16 with a frequency of 5 trees.

Now, to find the total number of trees in this range: 12(from the interval 8<h12)+5(from the interval 12<h16)=1712 \, \text{(from the interval } 8 < h \leq 12) + 5 \, \text{(from the interval } 12 < h \leq 16) = 17

Therefore, 17 trees are more than 8 meters tall but not more than 16 meters tall.

Would you like any further details or clarifications?

Here are 5 related questions for practice:

  1. How many trees are less than or equal to 8 meters tall?
  2. What is the total number of trees in the park?
  3. How many trees are taller than 12 meters?
  4. What percentage of trees are between 0 and 4 meters tall?
  5. How many more trees are between 8 and 12 meters than between 12 and 16 meters?

Tip: When working with frequency tables, make sure to correctly identify the intervals and their boundaries to avoid calculation mistakes.

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Math Problem Analysis

Mathematical Concepts

Frequency Table
Inequalities

Formulas

Summing frequencies within given intervals

Theorems

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Suitable Grade Level

Grades 6-8