. Households with Four Television Networks A survey showed the number of viewers

Question

. Households with Four Television Networks A survey showed the number of viewers and number of households of four television networks. Find the average number of viewers, using the weighted mean. (3-1) 1.43 viewers Households 1.4 0.8 0.3 1.6 Viewers (in millions) 1.6 0.8 0.4 1.8 Source: Nielsen Media Research. Investment Earnings An investor calculated these percentages of each of three stock investments with payoffs as shown. Find the average payoff. Use the weighted mean. (3-1) $4700.00 Stock Percent Payoff A 30 $10,000 B 50 3,000 C 20 1,000 Years of Service of Employees In an advertisement

Explanation / Answer

Households with 4 television networks :

First we need to calculate the weights of individual households. Then to calculate the weighted average we will multiply the weights with the number of viewers.

Weighted average mean = 1.4312

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Investment Earnings :

Average Payoff = % of funds investd in individual stock x Payoff

Average payoff = (0.3x$10,000) + (0.50x$3,000) + (0.20x$1,000)

Average payoff = $4,700

Households Weights of household Total number of viewers Weight x viewers 1.4 =1.4/4.1 = 0.34 1.6 0.34x1.6 =0.544 .8 .8/4.1 = .195 .8 .195x.8 =0.156 .3 .3/4.1 = .073 .4 .073x.4 =.0292 1.6 1.6/4.1 = .39 1.8 .39x1.8 =0.702 Total = 4.1 Total = 1.4312

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