What is the range of the lengths of worms dug up at the park: 18, 6, 17, 10, 9?
Understand the Problem
The question is asking for the range of the lengths of worms dug up at the park, which can be calculated by subtracting the smallest length from the largest length in the given data.
Answer
The range of the lengths of the worms is $7 \, \text{cm}$.
Answer for screen readers
The range of the lengths of the worms is $7 , \text{cm}$.
Steps to Solve
- Identify the lengths of the worms
List out the lengths of the worms dug up at the park. For example:
- 3 cm
- 6 cm
- 1 cm
- 8 cm
- 5 cm
- Find the smallest length
Determine the smallest length in the list to use for the calculation. In this example, the smallest length is:
$$ \text{smallest length} = 1 , \text{cm} $$
- Find the largest length
Next, determine the largest length in the list. Here, the largest length is:
$$ \text{largest length} = 8 , \text{cm} $$
- Calculate the range
Subtract the smallest length from the largest length to find the range of worm lengths:
$$ \text{range} = \text{largest length} - \text{smallest length} $$ $$ \text{range} = 8 , \text{cm} - 1 , \text{cm} = 7 , \text{cm} $$
The range of the lengths of the worms is $7 , \text{cm}$.
More Information
The range gives you an idea of the variability in the lengths of the worms. In this case, a range of $7 , \text{cm}$ indicates that there is a substantial difference between the shortest and longest worms found.
Tips
- Confusing the range with the average length of the worms. The range is only about the difference between the largest and smallest values.
- Failing to double-check the smallest or largest length could lead to incorrect calculations, so it’s important to verify those two values.
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