Pregunta
\[ 39,38,52,43,45,40,37,52 \] Find the range of the data set.
Ask by Powell Simpson. in the United States
Feb 03,2025
Solución de tutoría real
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The range of the data set is 15.
Solución
To find the **range** of a data set, you subtract the smallest (minimum) value from the largest (maximum) value.
Given the data set:
\[ 39, 38, 52, 43, 45, 40, 37, 52 \]
1. **Identify the smallest and largest values:**
- **Smallest value (Minimum):** 37
- **Largest value (Maximum):** 52
2. **Calculate the range:**
\[
\text{Range} = \text{Maximum} - \text{Minimum} = 52 - 37 = 15
\]
**Therefore, the range of the data set is 15.**
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The Deep Dive
To find the range of the data set, you simply subtract the smallest number from the largest number. In your data set, the largest number is 52 and the smallest number is 37. So, the range is: \[ Range = 52 - 37 = 15 \] The range of this data set is 15! To visualize this a bit, think of it like measuring the distance between the highest peak (52) and the lowest valley (37) in this collection of numbers. In terms of data analysis, a smaller range indicates numbers are closely packed together, while a larger range shows the numbers are more spread out!
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