Math Problem Statement
Solution
The histogram shows the distribution of tree diameters measured in centimeters, with a range of diameters from 0 to 55 cm and their respective frequencies.
From the histogram:
- The majority of the tree diameters fall between 5 and 25 cm, forming a cluster.
- There is a noticeable gap between 25 and 40 cm where the frequencies are very low.
- Another smaller cluster exists around 45 to 50 cm.
This indicates that the distribution is not continuous or uniform but consists of two clusters, one between 5–25 cm and the other around 45–50 cm, with a gap in between.
Thus, the correct answer is: A. The distribution consists of two clusters and a gap.
Would you like more details or have any questions?
Here are 5 related questions for further exploration:
- How can you calculate the mean and median from a histogram?
- What does it mean if a distribution is skewed left or right?
- How do gaps in a histogram affect the interpretation of data?
- What are the characteristics of a normal distribution?
- How could a histogram be used to analyze different types of tree data?
Tip: Always examine the shape of a distribution to determine whether it's normal, skewed, or contains clusters. This helps in understanding the underlying data patterns.
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Math Problem Analysis
Mathematical Concepts
Histograms
Distribution Analysis
Data Clustering
Formulas
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Theorems
Concept of Distribution in Data Sets
Suitable Grade Level
Grades 8-10