Holistic Numerical Methods Institute

committed to bringing numerical methods to undergraduates

Multiple Choice Test

Measuring Error

 

Q1. True error is defined as

Present Approximation – Previous Approximation

True Value – Approximate Value

abs (True Value – Approximate Value)

abs (Present Approximation – Previous Approximation)

 

Q2. The expression for true error in calculating the derivative of sin(2x) at x= Π/4 by using the approximate expression

     

 is

[h-cos(2h)-1]/h

[h-cos(h)-1]/h
 [1-cos(2h)]/h

sin(2h)/h

 

Q3. The relative approximate error at the end of an iteration to find the root of an equation is 0.004%.  The least number of significant digits we can trust in the solution is

2
 3
 4
 5

 

Q4. The number 0.01850x103 has ________ significant digits

3

4

5

6

 

Q5. The following gas stations were cited for irregular dispensation by the Department of Agriculture.  Which one cheated you the most?

Station

Actual

gasoline

dispensed

Gasoline

reading at

pump

Ser

Cit

Hus

She

9.90

19.90

29.80

29.95

10.00

20.00

30.00

30.00

Ser
 Cit
 Hus
 She

Q6. The number of significant digits in the number 219900 is

4
 5
 6
 4 or 5 or 6

 

> Home > Quizzes > Intro to Sci Comp