The formula for volume mass density is rho = mass/Volume. The mass of a cubical

Question

The formula for volume mass density is rho = mass/Volume. The mass of a cubical object is measured to be (1.4 plusminus 0.1) kg, the length of one side is (0.150 plusminus 0.005) m. What is the volume mass density of this object (with an error estimate)? (415 plusminus 51) kg/m^3 (b) (410 plusminus 50) kg/m^3 (c) (415 plusminus 33) kg/m^3 (d) (410 plusminus 30) kg/m^3 (e) None of te above Answer the next two questions based on these data. The following mass measurements were made by several different students using several different balance. A careful inspection of the data reveal they form a bi-modal distribution with two means separated by 0.8 grams. Which of the following is a true statement. (a) The presence f two modes is evidence of statistical error. (b) An accurate average mass can be calculated by summing all the data and dividing by 15. (c) The error on the mean is the same for both modes. (d) Systematic error appears as small variations abut each modal average. (e) None of the above.

Explanation / Answer

12.

M = mean = (12.4 + 12.1 + 12.3 + 12.5 + 12.2) /5

M = 12.3

standard deviation is given as

S = sqrt(((12.4 - 12.3)2 + (12.1 - 12.3)2 + (12.3 - 12.3)2 + (12.5 - 12.3)2 + (12.2 - 12.3)2)/5)

S = 0.14 m /s

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