Question
Bob is recording the percentages he earned on each quiz in his math class. Here are his results for the last 7 quizzes. \[ 59,61,83,67,81,80,81 \] Find the range of the data set.
Ask by Klein Willis. in the United States
Mar 18,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The range of Bob's quiz percentages is 24.
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 Bob's quiz percentages:
1. The data set is: \( 59, 61, 83, 67, 81, 80, 81 \).
- The **maximum value** is \( 83 \).
- The **minimum value** is \( 59 \).
2. Now, we calculate the range:
\[
\text{Range} = 83 - 59
\]
Let's perform the calculation.
\[
\text{Range} = 24
\]
Thus, the range of Bob's quiz percentages is \( 24 \).
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Simplify this solution Bonus Knowledge
To find the range of Bob’s quiz percentages, you subtract the lowest score from the highest score. Looking at his results, the highest score is 83 and the lowest score is 59. So, the range is: \[ \text{Range} = 83 - 59 = 24 \] Therefore, the range of Bob's quiz percentages is 24.
