Topic: Percent Deviation

Accepted Value— - Difference— - x 100 Deviation(%) = difference from accepted value accepted value x 100 Accepted Value— - Difference— -

Examples A WHB student incorrectly measures the mass of an M&M as 7.8 grams. The actual mass is 7.2 grams. What is the student’s percent deviation? Step 1- What is the difference? 7.8-7.2 = 0.6 Step 2 – Divide difference by accepted value Step 3 – Multiply by 100 to change answer to a percent 0.08 x 100 = 8.3 % 0.6 = 0.083 7.2

Examples A turtle determines the mass of a rock to be 3.5 grams. If the accepted mass of the rock is 3.1 grams, what is the turtle’s percent deviation? Step 1- What is the difference? 3.5-3.1 = 0.4 Step 2 – Divide difference by accepted value Step 3 – Multiply by 100 to change answer to a percent .129 x 100 = 12.9 % 0.4 = .129 3.1

Examples Derek Jeter guessed that he would hit 30 homeruns last year. He actually hit 23. Jeter’s percent deviation is approximately? Step 1- What is the difference? - = - Step 2 – Divide difference by accepted value Step 3 – Multiply by 100 to change answer to a percent - x - = - - = - -

Final question: The actual volume of a cube is 27 cm3 A student finds length of one side to be 3 cm. What is the percent deviation?

Accepted Values Aluminum = 2.7 g/cm3 Steel = 7.8 - 8.5 g/cm3 Plastic = 1.2 g/cm3 Copper = 8.9 g/cm3 Zinc = 7.1 g/cm3 Titanium = 4.5 g/cm3 Lead = 11.3 g/cm3