Question

Question 1
Calculate 3-yearly moving average for the following data and comment on the results.
Year: 1990 1991 1992 1993 1994 1995 1996 1997 1998 1999 2000
Values: 242 250 252 249 253 255 251 257 260 265 262

Answer 1

Answer:

don't know ...,.......... sorry

Answer 2

Given:

Year:   1990  1991  1992  1993  1994  1995  1996  1997  1998  1999  2000

Values: 242  250   252   249   253    255   251     257   260    265   262

To find:

3-yearly  average

Explanation:

$\displaystyle Average = \frac{Sum \ of\ terms }{\ Total \ no \ of \ terms}$

1) Average of years 1990, 1991, 1992:

$\displaystyle { a_1 = \frac{242 +250 + 252}{3} }\\\\\displaystyle a_1 = 248$

2) Average of years 1993, 1994,1995 :

$\displaystyle a_2 = \frac{249+253+255}{3} \\\\\displaystyle a_2 = 252.33$

3) Average of years 1996, 1997, 1998:

$\displaystyle a_3 = \frac{251+257+260}{3}\\\\ \\\displaystyle a_3 = 256$

4) Average of years  1999, 2000:

$\displaystyle a_4 = \frac{265+262}{2} \\\\\displaystyle a_4 = 263.5$

The above data shows that the average data is increased by 3-yearly.