Find the maximum value?

The first one, 100.5002, is the maximum value of the absolute error, while the second one, 17289.40896, is the sum of the values with the maximum absolute error. So the correct answer is 100.5002. In summary, the maximum value of the absolute error in a+2b-c is 100.5002.
  • #1
Nerd10
28
0

Homework Statement


Given a=11+/-0.5, b=0.04562+/-0.0001, c=17200+/-100. Find the maximum value of the absolute error in a+2b-c.


Homework Equations


absolute value of (0.5+2(0.0001)-(-100)=100.5002

11-0.5=10.5
0.04562-0.0001=0.04552
17200+100=17300
absolute value of (10.5+2(0.04552)-17300)=17289.40896


The Attempt at a Solution


Which of these answers is the correct answer? Is it 100.5002 or 17289.40896?
 
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  • #2
Nerd10 said:

Homework Statement


Given a=11+/-0.5, b=0.04562+/-0.0001, c=17200+/-100. Find the maximum value of the absolute error in a+2b-c.


Homework Equations


absolute value of (0.5+2(0.0001)-(-100)=100.5002

11-0.5=10.5
0.04562-0.0001=0.04552
17200+100=17300
absolute value of (10.5+2(0.04552)-17300)=17289.40896


The Attempt at a Solution


Which of these answers is the correct answer? Is it 100.5002 or 17289.40896?

Well, are you trying to find the absoulte value of the sum or of the error?
 
  • #3
Maximum value of the absolute error, just what the question asks. Which of the answers is right?
 
  • #4
Well, what do the two numbers you came up with represent?
 

1. What is the approach for finding the maximum value of a set of data?

The most common approach for finding the maximum value of a data set is to compare each value in the set to the previous value and keep track of the highest value encountered. This can be done manually or by using a computer program.

2. How do I find the maximum value in a spreadsheet or table?

In a spreadsheet or table, you can use the MAX function to find the maximum value in a specific column or row. This function will automatically compare all values in the selected range and return the highest value.

3. Can outliers affect the maximum value of a data set?

Yes, outliers can affect the maximum value of a data set. An outlier is a value that is significantly higher or lower than the other values in the set. If the outlier is higher than the other values, it will become the new maximum value.

4. What is the difference between absolute and relative maximum values?

The absolute maximum value is the highest value in a set of data, regardless of its position or context. The relative maximum value is the highest value within a specific range or context, such as a certain time period or category.

5. How can I efficiently find the maximum value in a large data set?

To efficiently find the maximum value in a large data set, you can use sorting algorithms such as merge sort or quicksort. These algorithms can quickly and systematically compare values and identify the maximum value without having to manually check each value.

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