The following table, reprinted from the November 20, 1991, Wall Street Journal, shows the percentage change of stock prices for ten Dow Jones sectors over two different periods.

(a) Calculate the arithmetic mean and geometric mean of the two sets of data.

(b) Calculate the standard deviation and mean absolute deviation of these two sets of data.

(c) Calculate the Z scores and do related analysis.

Refer to Table 4.17, in which the GDP, personal consumption, and disposable income during the period 1960–2009 are given.

Table 4.17

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Of the market's slide: performance of the DJ sectors % Change 11/13/91 to 11/19/91 Conglomerates Utilities Energy Consumer noncyclical DJ equity index Technology Consumer cyclicals Industrial Basic materials Financial -2.73 % -3.50 -3.65 -3.97 -4.52 -5.04 -5.16 -5.36 -5.63 -5.73 % Change 12/31/90 to 11/19/91 19.50 % 3.73 2.63 24.35 16.53 15.32 23.11 13.94 15.64 31.12