Pregunta
In a recent survey, 8 college graduates were each asked for the number of hours they work each week. Here is a list of the responses. \[ 34,36,52,49,47,34,40,51 \] Find the range of the data set.
Ask by Huff John. in the United States
Feb 27,2025
Solución de inteligencia artificial de Upstudy
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The range of the data set is 18.
Solución
To find the range of a data set, we use the formula:
\[
\text{Range} = \text{Maximum value} - \text{Minimum value}
\]
Let's identify the maximum and minimum values from the given data set:
The responses are:
\[ 34, 36, 52, 49, 47, 34, 40, 51 \]
1. **Find the maximum value:**
- The maximum value in the data set is \( 52 \).
2. **Find the minimum value:**
- The minimum value in the data set is \( 34 \).
Now, we can calculate the range:
\[
\text{Range} = 52 - 34
\]
Now, let's perform the calculation:
\[
\text{Range} = 18
\]
Thus, the range of the data set is \( 18 \).
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Simplifique esta solución Bonus Knowledge
To find the range of the dataset, you need to subtract the smallest value from the largest value. In the responses you provided, the largest number is 52 hours and the smallest number is 34 hours. So, the range is calculated as follows: \[ \text{Range} = 52 - 34 = 18 \] Thus, the range of the data set is 18 hours! Now you can better understand the variability in the work hours of these college graduates!
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