The Given the following measurements: 12.4 m/s, 12.1 m/s, 12.3 m/s, 12.5 m/s. 12.2 m The standard deviation is (a) 0.16 m/s (b) 0.14 m/s (c) 0,158 m/s (d) 0.141 m/s (e) None of the above to The formula for volume mass density is p-mass/lolume The mass of a cubical object is measured density of this object (with an error estimate)? de (1.40.1) kg. the length of one side is (0.150+ 0.005) m. What is the volume mass (a) (41551) kg/m (b) (41050) kg/m (c) (41533) kg/m (d) (41030) kg/m (e) None of the above. Answer the next two questions based on these data. The following mass measurements were made by several different students using several different balances. (525.1 +0.2) grams (525.2 0.2) grams (525.10.2) grams (525.80.2) grams (525.80.2) grams (525.0+ 0.2) grams (525.9 0.2) grams (525.80.2) grams (526.0+ 0.2) grams (525.9 0.2) grams (525.10.2) grams (525.10.2) grams (525.80.2) grams (525.9 0.2) grams (525.0+ 0.2) grams Frequency 0 Histogram of Mass Measurements il. 11. 524.9 525.0 5251 525.2 525.3 525.4 525.5 525.6 525.7 525.8 525.9 526.0 526.1 Mass (grams) 14. 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 of 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 about each modal average. (e) None of the above. Page 4 of 10