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.)
