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Tutorial 1 1. How many zeros are significant figures in a measured mass of 0.010010 g? 2. The number of significant figures in 0.00230300 m is _______. 3. The number of significant digits in 200.000 is ___________. 4. What is the average of 0.1707, 0.1713, 0.1720, 0.1704, and 0.1715? 5. What is the standard deviation of the numbers in question 4? 6. How many significant figures does each of following numbers have? a) 200.06 b) 6.030 x 10-4 c) 7.80 x 1010 d) 0.02670 e) 328.0 f) 7000.0 g) 0.00200 7. A batch of nuclear fuel pallets was weighed to determine if they fell within control guidelines. The weights were 127.2, 128.4, 127.1, 129.0 and 128.1 g. Calculate (a) the mean, (b) the median , (c) the range. 8. Calculate the absolute error and the relative error in percent and in parts per thousand in the following: Measured value Accepted value a) 22.62 g 22.57 g b) 45.02 mL 45.31 mL c) 2.68% 2.71% d) 85.6 cm 85.0 cm 9. Replicate water samples are analyzed for water hardness with the following results; 102.2, 102.8, 103.1 and 102.3 ppm CaCO3. Calculate (a) the standard deviation, (b) the relative standard deviation, (c) the standard deviation of the mean and, (d) the relative standard deviation of the mean. 10. Replicate samples of a silver alloy are analyzed and determined to contain 95.67, 95.61, 95.71, and 95.60% Ag. Calculate (a) the standard deviation, (b) the standard deviation of the mean, (c) the relative standard deviation of the mean (in percent) of the individual results.