Questions

1) Fill in the blank: The doubt that exists about the result of any measurement is the __________ of the measurement.

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2) True or False. All measurements are approximate.

True

False

3) In the figure below, determine the length of the arrow. The point of the arrow is enlarged so that a better estimation of the length may be given. Which of the following measures is NOT an approximate length of the arrow?

a.) 5 1/2 inches

b.) 5 15/32 inches

c.) 5 3/4 inches

d.) 5 7/16 inches

4) The reference to how close a measured value is to the true or accepted value is the __________ of a measurement. The reference to the degree of specified detail which can be observed in a measure is the __________ of the measurement.

a.) accuracy, precision

b.) precision, accuracy

c.) accuracy, accuracy

d.) precision, precision

5) Which type of data is provided in the scenario given below?

a.) neither accurate nor precise

b.) accurate, but not precise

c.) precise, but not accurate

d.) precise and accurate

6) James was playing a game of horseshoes. He predicted that he would “ring” the stake each time he tossed a horseshoe. The picture that is shown below displays his results. His prediction was...

a.) neither accurate nor precise.

b.) accurate, but not precise.

c.) precise, but not accurate.

d.) precise and accurate.

7) The absolute value of the difference between the accepted value (observed measurement) and the greatest OR least possible value of a measurement is the __________ __________.

a.) percentage error

b.) relative error

c.) absolute error

d.) none of the above

8) The length of a night stand is 87 centimeters measured to the nearest centimeter. What range of values does this measurement represent?

a.) 86 cm to 87 cm

b.) 86.5 cm to 87.5 cm

c.) 86.05 cm to 87.05 cm

d.) 86.005 cm to 87.005 cm

9) The length of a wide screen computer monitor is 46.3 cm measured to the nearest tenth of a centimeter. What range of values does this measurement represent?

a.) 46.2 cm to 46. 3 cm

b.) 46.3 cm to 46.4 cm

c.) 46.25 cm to 46.35 cm

d.) 46.255 cm to 46.355 cm

10) The ratio of the absolute error and the accepted value (observed measurement) is __________ ____________.

a.) precise error

b.) relative error

c.) absolute error

d.) none of the above

11) Explain the meaning of the measurement.

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12) What is the absolute error?

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13) What is the relative error rounded to the nearest thousandth? What is the relative percentage error rounded to the nearest tenth?

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14) What is the range of values this measurement represents? State the letter of the correct answer.

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15) What is the absolute error in the round-trip distance?

a.) 0.25 mile

b.) 0.5 mile

c.) 1.0 mile

d.) 1.5 miles

e.) There is no absolute error.

16) Calculate the volume of the box two ways: (a) What is the accepted volume of the box? (b) What is the volume of the box when factoring in the greatest possible error of the measurements of the length, the width, and the height of the box? Express this answer to the nearest tenth of a cubic inch.

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17) What is the GPE (Greatest Possible Error) when calculating the volume of the box?

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18) What is the volume of the box when factoring in the least possible error of the measurements of the length, the width, and the height of the box? Express the answer to the nearest tenth of a cubic inch.

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19) What is the LPE (Least Possible Error) when calculating the volume of the box?

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20) True or False. In general, use the Greatest Possible Error to calculate the absolute error when multiplying measurements.

True

False

21) Find the relative error using the Greatest Possible Error. (a) What is the relative error? (b) What is the relative percentage error?

a.) 0.1063; 10.63%

b.) 0.1103; 11.03%

c.) 0.0994; 9.94%

d.) 0.0961; 9.61%

22) What is the accepted area of the lot?

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23) What is the area of the lot when factoring in the GPE?

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24) What is the absolute error of the area of the lot?

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25) What is the (a) relative error and (b) relative percent error?

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26) Convert the amount of absolute error (determined in problem #24) to acres (1 sq m = 0.000247 acres). Round the answer to the nearest whole acre.

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27) If the value of each acre is $5000, about how much of an increase in value is possible when factoring in the absolute error?

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28) Name a profession in which accurate and precise measurements are a necessity.

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29) Fill in the blank: The result of a calculated measurement should have the same precision as the __________ precise measurement.

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30) How many significant digits are in the following number: 93.521?

a.) 2

b.) 3

c.) 4

d.) 5

e.) 6

31) How many significant digits are in the following number: 21.0034?

a.) 2

b.) 3

c.) 4

d.) 5

e.) 6

32) How many significant digits are in the following number: 623,000?

a.) 2

b.) 3

c.) 4

d.) 5

e.) 6

33) How many significant digits are in the following number: 0.00000598?

a.) 2

b.) 3

c.) 4

d.) 5

e.) 6

34) How many significant digits are in the following number: 243.0?

a.) 2

b.) 3

c.) 4

d.) 5

e.) 6

35) How many significant digits are in the following number: 0.031008?

a.) 2

b.) 3

c.) 4

d.) 5

e.) 6

36) What is the area of the triangle?

a.) 36.58 sq in

b.) 36.581 sq in

c.) 36.6 sq in

d.) 36.5806 sq in

37) What is the area of the trapezoid?

a.) 60.5 sq cm

b.) 121 sq cm

c.) 61 sq cm

d.) 120 sq cm

38) What is the hypotenuse of the right triangle?

a.) 5.188 ft

b.) 5.2 ft

c.) 5.19 ft

d.) 5.1884 ft

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