Question

In: Math

Produce a Pareto diagram that shows total spending in a descending order and at the same...

Produce a Pareto diagram that shows total spending in a descending order and at the same time the cumulative percentage curve.
Based on the above, can you estimate which part of visitors accounts for 75% of total revenues in the island.

The data used are:

NATIONALITY TOT_SPEND
GERMAN 1988
GERMAN 1988
GERMAN 1834
GERMAN 1823
GERMAN 1741
GERMAN 1708
GERMAN 1707
GERMAN 1701
FRENCH 1598
GERMAN 1531
FRENCH 1494
GERMAN 1437
GERMAN 1420
ITALIAN 1416
GERMAN 1414
GERMAN 1391
GERMAN 1358
ITALIAN 1350
GERMAN 1298
GERMAN 1296
GERMAN 1295
GERMAN 1295
FRENCH 1280
FRENCH 1245
BRITISH 1217
FRENCH 1204
GERMAN 1184
ITALIAN 1166
FRENCH 1140
GERMAN 1112
GERMAN 1095
ITALIAN 1088
ITALIAN 1079
FRENCH 1057
BRITISH 1046
FRENCH 1041
GERMAN 1026
GERMAN 1013
GERMAN 1011

Solutions

Expert Solution

Step 1 : put the values in the descending order (highest first, lowest last)

Step 2: calculate the cumulative sales on the sorted values

cumulative revenue (i) = cumulative revenue (i-1) + sales (i)

where sales (i) is the sales in the ith row in the sorted data

cumulative revenue (1) = sales (1)

Step 3 : % cumulative revenue (i) = cumulative revenue/total revenue

NATIONALITY TOT_SPEND Cumulative revneue Cumulative revneue
GERMAN 1988 1988 4%
GERMAN 1988 3976 7%
GERMAN 1834 5810 11%
GERMAN 1823 7633 14%
GERMAN 1741 9374 18%
GERMAN 1708 11082 21%
GERMAN 1707 12789 24%
GERMAN 1701 14490 27%
FRENCH 1598 16088 30%
GERMAN 1531 17619 33%
FRENCH 1494 19113 36%
GERMAN 1437 20550 39%
GERMAN 1420 21970 41%
ITALIAN 1416 23386 44%
GERMAN 1414 24800 47%
GERMAN 1391 26191 49%
GERMAN 1358 27549 52%
ITALIAN 1350 28899 54%
GERMAN 1298 30197 57%
GERMAN 1296 31493 59%
GERMAN 1295 32788 62%
GERMAN 1295 34083 64%
FRENCH 1280 35363 67%
FRENCH 1245 36608 69%
BRITISH 1217 37825 71%
FRENCH 1204 39029 74%
GERMAN 1184 40213 76%
ITALIAN 1166 41379 78%
FRENCH 1140 42519 80%
GERMAN 1112 43631 82%
GERMAN 1095 44726 84%
ITALIAN 1088 45814 86%
ITALIAN 1079 46893 88%
FRENCH 1057 47950 90%
BRITISH 1046 48996 92%
FRENCH 1041 50037 94%
GERMAN 1026 51063 96%
GERMAN 1013 52076 98%
GERMAN 1011 53087 100%

In the graph the part in the left of the red line corresponds to the 75% of the revenue

In the table pasted above the chart, the part above from the point where 76% in the cumulative percentage appears corresponds to it.

76% of the revenue stands at = 40213


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