Biologists recorded the lengths of lizards they found in the desert. About what percent of the lizard lengths are from 3.0 to 6.9 inches?
Understand the Problem
The question is asking for the percentage of lizard lengths that fall within a specific range (3.0 to 6.9 inches) based on the frequency data provided in the table. To solve this, we will sum the frequencies of the specified ranges and divide by the total number of lizards recorded, then multiply by 100 to obtain the percentage.
Answer
The percentage of lizard lengths from 3.0 to 6.9 inches is $62.5\%$.
Answer for screen readers
The percentage of lizard lengths that are from 3.0 to 6.9 inches is approximately 62.5%.
Steps to Solve
- Identify the Frequencies in the Specified Range
From the table, we need to find the frequencies for lengths between 3.0 and 6.9 inches.
- For 3.0-3.9 inches, the frequency is 5.
- For 4.0-4.9 inches, the frequency is 4.
- For 5.0-5.9 inches, the frequency is 4.
- For 6.0-6.9 inches, the frequency is 2.
- Sum the Frequencies
Now, we sum these frequencies to find the total number of lizards within the specified length range.
$$ 5 + 4 + 4 + 2 = 15 $$
- Calculate the Total Frequency
We need to find the total number of lizards recorded.
- The total frequencies from all ranges:
$$ 3 + 4 + 5 + 4 + 4 + 2 + 2 = 24 $$
- Calculate the Percentage
Now, we can calculate the percentage of lizards that fall within the length range of 3.0 to 6.9 inches.
$$ \text{Percentage} = \left(\frac{15}{24}\right) \times 100 $$
- Perform the Final Calculation
Calculating the percentage:
$$ \left(\frac{15}{24}\right) \times 100 \approx 62.5% $$
The percentage of lizard lengths that are from 3.0 to 6.9 inches is approximately 62.5%.
More Information
The calculated percentage shows that about 62.5% of the lizards found had lengths ranging from 3.0 to 6.9 inches. This data can give insights into the lizard population in the desert and their size distributions.
Tips
- Forgetting to sum all relevant frequencies: Be sure to include all frequency counts from the specified length ranges.
- Incorrectly calculating the total lizard count: Double-check the addition of all frequencies provided to ensure accuracy.
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