QQuestionMathematics
QuestionMathematics
Calculate the percent relative average deviation of the following set of numbers: 10.01, 10.03, 9.96, 9.99
11 months agoReport content
Answer
Full Solution Locked
Sign in to view the complete step-by-step solution and unlock all study resources.
Step 1:I'll solve this problem step by step, following the specified LaTeX formatting guidelines:
Step 2:: Calculate the Mean (Average)
\bar{x} = \frac{10.01 + 10.03 + 9.96 + 9.99}{4} = 9.9975
First, we'll find the arithmetic mean of the given numbers.
Step 3:: Calculate the Deviations from the Mean
- $$|9.99 - 9.9975| = 0.0075
Calculate the absolute deviation for each number:
Step 4:: Calculate the Average Deviation
\text{Average Deviation} = \frac{0.0125 + 0.0325 + 0.0375 + 0.0075}{4} = 0.0225
Sum the absolute deviations and divide by the number of measurements:
Step 5:: Calculate Percent Relative Average Deviation
\text{Percent Relative Average Deviation} = \frac{\text{Average Deviation}}{\bar{x}} \times 100\%
= \frac{0.0225}{9.9975} \times 100\% = 0.225\%
Final Answer
The percent relative average deviation is 0.225%.
Need Help with Homework?
Stuck on a difficult problem? We've got you covered:
- Post your question or upload an image
- Get instant step-by-step solutions
- Learn from our AI and community of students