Mean/median/mode and range/standard deviation/variance (sample)?
17) "The high temperatures (in degrees Celsius) each day over a three week period were as follows..."
17, 18, 20, 22, 21, 19, 16, 15, 18, 20, 21, 21, 22, 21, 19, 20, 19, 17, 16, 16, 17
Compute the mean, median, and mode.
18) "In a random sample, 10 employees at a local plant were asked to compute the distance they travel to work to the nearest tenth of a mile..."
1.1, 5.2, 3.6, 5.0, 4.8, 1.8, 2.2, 5.2, 1.5, 0.8
Compute the range, sample standard deviation and sample variance of the data.
17) "The high temperatures (in degrees Celsius) each day over a three week period were as follows..."
17, 18, 20, 22, 21, 19, 16, 15, 18, 20, 21, 21, 22, 21, 19, 20, 19, 17, 16, 16, 17
Compute the mean, median, and mode.18) "In a random sample, 10 employees at a local plant were asked to compute the distance they travel to work to the nearest tenth of a mile..."
1.1, 5.2, 3.6, 5.0, 4.8, 1.8, 2.2, 5.2, 1.5, 0.8
Compute the range, sample standard deviation and sample variance of the data.
1 Answer
17)
median = 19, mode = 21 (as 21 occurs most often)
18) range: 4.4, standard deviation
(sample standard deviation, sample variance)
Explanation:
17)
\bar{x}=[17+18+20+22+21+19+16+15+18+20+21+21+22+21+19+20+19+17+16+16+17]\div21
=395\div21\approx18.8095
median = 19, mode = 21 (as 21 occurs most often)18) range =
max-min=5.2-0.8=4.4 ,s\approx1.8232 ,v=(1.8232)^2\approx3.3241
(s is standard deviation, and v is variance; both for sample . These were done on a calculator.)