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Calculate the seasonal indices from the following data using the average method: - Business Mathematics and Statistics

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प्रश्न

Calculate the seasonal indices from the following data using the average method:

Year I Quarter II Quarter III Quarter IV Quarter
2008 72 68 62 76
2009 78 74 78 72
2010 74 70 72 76
2011 76 74 74 72
2012 72 72 76 68
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योग

उत्तर

Computation of Seasonal Index by the method of simple averages

Year I Quarter II Quarter III Quarter IV Quarter
2008 72 68 62 76
2009 78 74 78 72
2010 74 70 72 76
2011 76 74 74 72
2012 72 72 76 68

Grand Average = `("Sum of"  4  "Quarterly Averages")/4`

= `(74.4 + 71.6 + 72.4 + 72.8)/4`

= `291.2/4`

= 72.8

S.I for I Quarter = `"Average of I Quarter"/"Grand Average" xx 100`

= `74.4/72.8 xx 100`

= 102.20

S.I for II Quarter = `"Average of II Quarter"/"Grand Average" xx 100`

= `71.6/72.8 xx 100`

= 98.35

S.I for III Quarter = `"Average of III Quarter"/"Grand Average" xx 100`

= `72.4/72.8 xx 100`

= 99.45

S.I for IV Quarter = `"Average of IV Quarter"/"Grand Average" xx 100`

= `72.8/72.8 xx 100`

= 100

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  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 9: Applied Statistics - Exercise 9.1 [पृष्ठ २११]

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सामाचीर कलवी Business Mathematics and Statistics [English] Class 12 TN Board
अध्याय 9 Applied Statistics
Exercise 9.1 | Q 21 | पृष्ठ २११
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