The table below presents the \"earnings from occupation or trade\" in the year 1

Question

The table below presents the "earnings from occupation or trade" in the year 1901 of a random sample of those Canadians who did have earnings in that year. The amounts are in Canadian dollars. If they seem low, remember that a loaf of bread cost 4 cents and a pound of beef 14 cents. Of course, Canadians today have much higher incomes, even after adjusting for inflation. The Canadians' earnings in the table below are right-skewed, with a few large incomes.

a) Which incomes are suspected outliers by the 1.5 × IQR rule? (Round your answer to two decimal places.) : Any income more than $____________ is considered an outlier?

Earnings (dollars) of a sample of 200 Canadians in 1901 400 360 400 200 150 175 60 96 600 100 125 525 500 200 175 360 50 300 175 480 300 500 160 960 300 96 500 170 380 600 300 10 250 200 124 350 150 225 600 100 250 250 220 100 200 250 100 256 399 125 100 360 250 600 400 450 150 550 250 240 100 970 240 300 100 400 450 125 250 225 480 350 300 100 144 500 200 150 225 240 250 300 250 150 100 225 96 200 500 20 250 500 100 165 350 200 200 500 300 57 1000 200 8000 415 450 190 3600 180 1200 100 8 142 420 300 700 600 320 240 100 208 205 150 75 205 300 300 350 150 450 350 450 462, 350 1500 120 200 3000 225 475 2000 150 325 300 150 720 140 350 150 85 400 184 125 300 500 340 150 160 480 300 376 220 1000 300 2200 350 290 700 120 700 600 375 150 450 360 500 575 500 400 350 1800 600 300 1000 600 300 80 1000 300 390 499 210 500 550 450 520 200 300 200 540 1200

Explanation / Answer

At first we have to construct a class distribution table of the incomes to handle the huge data.

.5*IQR rule for dectecting outlier is as follows:

class limits class boundaries frequency cumulative frequency 0-200 0.5-200.5 71 71 200-400 200.5-400.5 75 146 400-600 400.5-600.5 40 186 600-800 600.5-800.5 5 191 800-1000 800.5-1000.5 4 195 1000-1200 1000.5-1200.5 2 197 1200-1400 1200.5-1400.5 0 197 1400-1600 1400.5-1600.5 1 198 1600-1800 1600.5-1800.5 0 198 1800-2200 1800.5-2000.5 2 200

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