मराठी
महाराष्ट्र राज्य शिक्षण मंडळएचएससी वाणिज्य (इंग्रजी माध्यम) इयत्ता १२ वी

The following data gives the production of bleaching powder (in ’000 tons) for the years 1962 to 1972: Year 1962, 1963, 1964, 1965, 1966, 1967, 1968, 1969, Production 1970, 1971, 1972

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प्रश्न

The following data gives the production of bleaching powder (in ’000 tons) for the years 1962 to 1972:

Year 1962 1963 1964 1965 1966 1967 1968 1969 1970 1971 1972
Production 0 0 1 1 4 2 4 9 7 10 8

Obtain the trend values for the above data using 5-yearly moving averages.

बेरीज
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उत्तर

We construct the following table to obtain 5-yearly moving averages for the given data:

Year (t) Production (in ’000 tonnes) (xt) 5-yearly moving total 5-yearly moving averages Trend value
1962 0 - -
1963 0 - -
1964 1 6 1.2
1965 1 8 1.6
1966 4 12 2.4
1967 2 20 4.0
1968 4 26 5.2
1969 9 32 6.4
1970 7 38 7.6
1971 10 - -
1972 8 - -
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