*KNOWN*: Sample mean = 4, Sample Varience = 0.8663, Standard Deviation = 0.9308

Question

*KNOWN*: Sample mean = 4, Sample Varience = 0.8663, Standard Deviation = 0.9308

1.  Calculate the sample median, first quartile, the second quartile, the third quartile, the upper whisker limit, the largest observation below the upper whisker limit, the lower whisker limit, and the smallest observation above the lower whisker limit.

6-70. An article in Transactions of the Institution of Chemi- cal Engineers (1956, Vol. 34, pp. 280-293) reported data from an experiment investigating the effect of several process vari- ables on the vapor phase oxidation of naphthalene. A sample of the percentage mole conversion of naphthalene to maleic anhydride follows: 4.2,4.7,4.7,5.0, 3.8, 3.6, 3.0,5., 3.1,3.8, 4.8,4.0, 5.2,4.3, 2.8, 2.0, 2.8, 3.3, 4.8, 5.0.

Explanation / Answer

x <- c(4.2,4.7,4.7,5.0,3.8,3.6,3.0,5.1,3.1,3.8,4.8,4.0,5.2,4.3,2.8,2.0,2.8,3.3,4.8,5.0);x;length(x);summary(x)
[1] 4.2 4.7 4.7 5.0 3.8 3.6 3.0 5.1 3.1 3.8 4.8 4.0 5.2 4.3 2.8
[16] 2.0 2.8 3.3 4.8 5.0
[1] 20
Min. 1st Qu. Median Mean 3rd Qu. Max.
2.00 3.25 4.10 4.00 4.80 5.20

median = 4.10

first quartile = 3.25

second quartile = 4.10

third quartile = 4.80

upper whisker limit = 5.20

largest observation below the upper whisker limit = 5.1

lower whisker limit = 2.0

smallest observation above the lower whisker limit = 2.8

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