Definitions and Sig Fig Rules
Percent Error and Addition & Subtraction Sig Fig Problems
Multiplication & Division Sig Fig Problems
Standard Deviation
Multi-step Sig Fig Problems
100
What is the definition of ACCURACY?
how close a measurement is to the true value of a quantity
100
What is percent error used for? (accuracy or precision)
accuracy
100
What is the sig fig rule for multiplication and division?
round to the number of digits equal to the fewest number of sig figs in any of the numbers used in the calculation
100
What is standard deviation used for? (accuracy or precision)
precision
100
14.9 - 12.76 + 4.5689 =
6.7
200
What is the definition of PRECISION?
how close several measurements are to each other
200
What is the sig fig rule for addition and subtraction?
round to the fewest number of decimal places
200
3.27 X 49.85 =
163
200
What is the formula for standard deviation?
200
8.795 + 1.28 - 6.0005 + 25.8 =
29.9
300
Name one rule for sig figs
possible answers:
1. all NONZERO digits are significant
2. zeroes BETWEEN 2 sig figs are significant
3. zeroes at the beginning of a number are NEVER significant
4. zeroes at the end of a number are significant IF a decimal point is written in the number
300
21.860051 - 19.86=
2.00
300
5.32 / 45.78 =
0.116
300
What does each variable stand for in the formula for standard deviation?
s= sample standard deviation
n= the number of observations
xi= the observed values of a sample item
= the mean value of the observations
300
(233.9652 X 2.13) - 15.68 =
482
400
If you have a number, such as 110, how would you make this number have 3 sig figs?
use a decimal point to indicate that a zero in the "one's place" is significant
400
(1.435 X 102) + 2.65 =
146.15
400
(5.698 X 107) / (7.25 X 109) =
answer in scientific notation
0.00786 turns into 7.86 X 10-3
400
Consider a sample of 3 data points: 5.7, 7.3, and 6.5
Find the standard deviation
6.5 +/- 0.80
400
(14.9-12.76) / (9.278 X 36.2) =
0.0064
500
How many sig figs are in 0.0039008900?
8 sig figs
500
15.65 + 14.680 - 25.005 =
5.33
500
(14.7 X 56.35) / (1.378 X 104) =
0.0601
500
Consider a sample of 5 data points: 7.5, 8.5, 9.0, 8.2, 7.8
Find the standard deviation
8.2 +/- 0.59
500
[(1.56 X 104)2.356)- 25] =
36700