The accepted values for the sets of data in Problem 1-2 are: *set A, 9.0; set B, 55.33; *set C, 0.630; set D, 5.4; *set E, 20.58; set F, 0.965. For the mean of each set, calculate
(a) the absolute error and
(b) the relative error in parts per thousand.
Problem 1
From the normal curve of error, find the probability that a result is outside the limits of ±2σ from the mean. What is the probability that a result has a more negative deviation from the mean than −2σ?
Problem 2
Consider the following sets of replicate measurements:
*A | B | *C | D | *E | F |
9.5 | 55.35 | 0.612 | 5.7 | 20.63 | 0.972 |
8.5 | 55.32 | 0.592 | 4.2 | 20.65 | 0.943 |
9.1 | 55.20 | 0.694 | 5.6 | 20.64 | 0.986 |
9.3 | 0.700 | 4.8 | 20.51 | 0.937 | |
9.1 | 5.0 | 0.954 |
For each set, calculate the
(a) mean;
(b) median;
(c) spread, or range;
(d) standard deviation; and
(e) coefficient of variation.
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