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प्रश्न
The following table shows the production of pig-iron and ferro alloys ('000 metric tons)
| Years | 1974 | 1975 | 1976 | 1977 | 1978 | 1979 | 1980 | 1981 | 1982 |
| Production | 0 | 4 | 9 | 9 | 8 | 5 | 4 | 8 | 10 |
Find trend values for the above data by using 5 yearly moving averages.
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उत्तर
Given:
| Years | 1974 | 1975 | 1976 | 1977 | 1978 | 1979 | 1980 | 1981 | 1982 |
| Production | 0 | 4 | 9 | 9 | 8 | 5 | 4 | 8 | 10 |
To find: Trend values by 5-year moving averages.
Step 1: Calculate 5-year moving totals and averages
⇒ 1974 – 1978
Total = 0 + 4 + 9 + 9 + 8 = 30, M.A. = `30/5` = 6
⇒ (Trend for 1976) → 1975 – 1979
Total = 4 + 9 + 9 + 8 + 5 = 35, M.A. = `35/5` = 7
⇒ (Trend for 1977) → 1976 – 1980
Total = 9 + 9 + 8 + 5 + 4 = 35, M.A. = `35/5` = 7
⇒ (Trend for 1978) → 1977 – 1981
Total = 9 + 8 + 5 + 4 + 8 = 34, M.A. = `34/5` = 6.8
⇒ (Trend for 1979) → 1978–1982
Total = 8 + 5 + 4 + 8 + 10 = 35, M.A. = `35/5` = 7
(Trend for 1980)
Step 2: Trend values (5-year moving averages)
| Year | 1976 | 1977 | 1978 | 1979 | 1980 |
| Trend | 6 | 7 | 7 | 6.8 | 7 |
Trend values are 6, 7, 7, 6.8, 7 for years 1976 to 1980.
