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The box plot displays the diversity of data for the income; the data ranges from 20 being the minimum value and 1110 being the maximum value. The box plot is positively skewed at 4.27 as the whisker at the top of the box is longer than the whisker at the bottom of the box, thus showing that there are more values at the top end of the box. The lower quartile is basically the 25th percentile which is 100; the median is the 50th percentile which is 120 and the upper quartile is 75th percentile which is 160.
In relation to extreme data for income there are 58 outliers which have been identified on the box plot which deviate significantly from the rest of the distribution of the data:
Outlier Value
Rows
1110
448
630
757
460
1200
450
1344
430
657
420
1379, 1416
400
1032
360
92, 1225
350
1187, 340, 1193
340
350, 56, 748, 1009
330
898, 903, 1170, 1191, 1143
320
121, 1188, 694, 373
310
345, 775
300
449, 974, 781, 872
290
176, 281, 1385
280
1247, 1171, 997, 485, 222, 181, 165
270
1413, 799, 80, 614, 1042, 1299
260
9, 23, 163, 260, 481, 674, 1210, 1322, 1370,1517
Construct index numbers of price for the following data by applying: i) Laspeyre’s method ii) Paasche’s method iii) Fisher’s Ideal Index number
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