In: Math
Number | Year | Gross Income | Price Index | Adjusted Price Index | Real Income |
1 | 1991 | 50,599 | 136.2 | 1.362 | 37150.51 |
2 | 1992 | 53,109 | 140.3 | 1.403 | 37853.88 |
3 | 1993 | 53,301 | 144.5 | 1.445 | 36886.51 |
4 | 1994 | 56,885 | 148.2 | 1.482 | 38383.94 |
5 | 1995 | 56,745 | 152.4 | 1.524 | 37234.25 |
6 | 1996 | 60,493 | 156.9 | 1.569 | 38555.13 |
7 | 1997 | 61,978 | 160.5 | 1.605 | 38615.58 |
8 | 1998 | 61,631 | 163.0 | 1.630 | 37810.43 |
9 | 1999 | 63,297 | 166.6 | 1.666 | 37993.40 |
10 | 2000 | 66,531 | 172.2 | 1.722 | 38635.89 |
11 | 2001 | 67,600 | 177.1 | 1.771 | 38170.53 |
12 | 2002 | 66,889 | 179.9 | 1.799 | 37181.21 |
13 | 2003 | 70,024 | 184.0 | 1.840 | 38056.52 |
14 | 2004 | 70,056 | 188.9 | 1.889 | 37086.29 |
15 | 2005 | 71,857 | 195.3 | 1.953 | 36793.14 |
The data from Exhibit 3 is also in the Excel file income.xls on the course website. Use Excel, along with this file, to determine Mrs. Bella’s real income for the last fifteen years. Do this by first converting each price index from percent by dividing by 100. Then, divide gross income by your converted (adjusted) price index. Using Excel, find the mean, median, standard deviation, and variance of her past real income. Explain the meaning of these statistics. Can you use mean income to forecast future earnings? Take into account both statistical and non-statistical considerations.
On the basis of the information given in the table, Mrs Bella's real income is calculated in the last column of the following table by calculating adjusted price index. And then mean , median , variance and S. D. is calculated on the basis of her past real income
(i) Mrs. Bella's average real income in past 15 years is 37760.48
(ii) Real income which divide the real income set in to two equal part is median value =37810.43
(iii) Amount of deviation of the real income of Mrs. Bella from mean value is S.D.=653.43