Question
In a recent survey, 8 people were each asked the number of times they have been on an airplane. Here is a list of the responses. \[ 9,21,7,11,13,21,5,14 \] Find the range of the data set.
Ask by Mckenzie Sherman. in the United States
Mar 18,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The range of the data set is 16.
Solution
To find the range of a data set, we follow these steps:
1. **Identify the maximum and minimum values** in the data set.
2. **Calculate the range** using the formula:
\[
\text{Range} = \text{Maximum} - \text{Minimum}
\]
Now, let's apply these steps to the given data set:
The responses are:
\[ 9, 21, 7, 11, 13, 21, 5, 14 \]
1. **Find the maximum value**:
- The maximum value in the data set is \( 21 \).
2. **Find the minimum value**:
- The minimum value in the data set is \( 5 \).
Now, we can calculate the range:
\[
\text{Range} = 21 - 5
\]
Calculating this gives:
\[
\text{Range} = 16
\]
Thus, the range of the data set is \( 16 \).
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Simplify this solution Extra Insights
To find the range of the data set, you simply need to subtract the smallest value from the largest value. From your responses, the smallest number is 5 and the largest is 21. So, the range is: \[ \text{Range} = 21 - 5 = 16 \] Therefore, the range of the number of times the 8 people have been on an airplane is 16.
