Given the data
29.65 | 28.55 28.65 | 30.15 | 29.35 | 29.75 | 29.25 |
30.65 | 28.15 29.85 | 29.05 | 30.25 | 30.85 | 28.75 |
29.65 | 30.45 29.15 | 30.45 | 33.65 | 29.35 | 29.75 |
31.25 | 29.45 30.15 | 29.65 | 30.55 | 29.65 | 29.25 |
Determine
(a) the mean,
(b) median,
(c) mode,
(d) range,
(e) standard deviation,
(f) variance, and
(g) coefficient of variation.
(h) Construct a histogram. Use a range from 28 to 34 with increments of 0.4.
(i) Assuming that the distribution is normal, and that your estimate of the standard deviation is valid, compute the range (i.e., the lower and the upper values) that encompasses 68% of the readings. Determine whether this is a valid estimate for the data in this problem.
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