Question
A veterinarian treated 7 dogs this morning. The list below gives the weights (in pounds) of each dog.
,
,
Ask by Whittaker Coles. in the United States
Mar 18,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The range of the data set is 36 pounds.
Solution
To find the range of a data set, we follow these steps:
- Identify the maximum and minimum values in the data set.
- Calculate the range using the formula:
Let’s apply these steps to the given weights of the dogs:
The weights are:
-
Find the maximum value:
- The maximum weight is
pounds.
- The maximum weight is
-
Find the minimum value:
- The minimum weight is
pounds.
- The minimum weight is
Now, we can calculate the range:
Calculating this gives:
Thus, the range of the data set is
Answered by UpStudy AI and reviewed by a Professional Tutor
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Simplify this solution Bonus Knowledge
To find the range of a data set, you subtract the smallest value from the largest value. In your list, the largest weight is 42 pounds, and the smallest weight is 6 pounds. So, the range is calculated as:
This means the range of the weights of the dogs is 36 pounds!
Now, if you’re ever in a situation where you need to handle a variety of weights, remember to always identify the extremes of your set—this concept not only applies to weights but can help in categorizing information in various fields, from budgeting to inventory management!
