Question
Mai is recording the percentages she earned on each quat in her math class. Here are ber results for the taxt ? gulrres \[ 59,61,83,67,81,80,81 \] Find the range of the data set.
Ask by Gray Macdonald. in the United States
Mar 11,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The range of the data set is 24.
Solution
To find the range of a data set, you need to follow these steps:
1. **Identify the maximum value** in the data set.
2. **Identify the minimum value** in the data set.
3. **Calculate the range** by subtracting the minimum value from the maximum value.
Let's apply these steps to the given data set:
\[ 59, 61, 83, 67, 81, 80, 81 \]
### Step 1: Find the maximum value
The maximum value in the data set is \( 83 \).
### Step 2: Find the minimum value
The minimum value in the data set is \( 59 \).
### Step 3: Calculate the range
Now, we can calculate the range using the formula:
\[
\text{Range} = \text{Maximum} - \text{Minimum}
\]
Substituting the values we found:
\[
\text{Range} = 83 - 59
\]
Now, let's perform the calculation:
\[
\text{Range} = 24
\]
Thus, the range of the data set is \( 24 \).
Answered by UpStudy AI and reviewed by a Professional Tutor
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Simplify this solution The Deep Dive
To find the range of a data set, you simply subtract the smallest value from the largest value. In Mai's case, the lowest score is \(59\) and the highest score is \(83\). So, the range is calculated as follows: \[ \text{Range} = \text{Highest score} - \text{Lowest score} = 83 - 59 = 24 \] Thus, the range of Mai's percentages is \(24\).
