Question
Download Solution PDFStudy the given bar-graph and answer the question that follows.
The bar-graph shows the production (in lakh) of kitchen appliances manufactured by three companies A, B, and C over a period of six years from 2012 to 2017.
What is the difference (in lakh) between the average production of company B during the period 2012 to 2017 and the combined average of the production of company A in 2012, 2014, 2015 and the production of company C in 2014, 2016 and 2017, respectively?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Production data for company B from 2012 to 2017 and for company C in specific years (2014, 2016, 2017).
Formula used:
Average Production = (Sum of Production for given years) / Number of Years
Difference in production = Average of Company B - Combined Average of specific years for Company A and Company C
Calculation:
Company B (2012-2017):
Total Production = 130 + 80 + 70 + 90 + 180 + 80 = 630 lakhs
Average Production of Company B = 630 / 6
⇒ Average Production of Company B = 105 lakhs
Company A (2012, 2014, 2015) Production:
Company A 2012 = 100 lakhs
Company A 2014 = 160 lakhs
Company A 2015 = 150 lakhs
Total Production of Company A = 100 + 160 + 150 = 410 lakhs
Company C (2014, 2016, 2017) Production:
Company C 2014 = 120 lakhs
Company C 2016 = 110 lakhs
Company C 2017 = 140 lakhs
Total Production of Company C = 120 + 110 + 140 = 370 lakhs
Combined Production = 410 (Company A) + 370 (Company C) = 780 lakhs
Number of Years Considered = 6 years
Combined Average Production = 780 / 6
⇒ Combined Average = 130 lakhs
Difference = 130 - 105
⇒ Difference = 25 lakhs
⇒ Difference in average production of Company B and the combined average of Company A and Company C together = 25 lakhs
∴ The correct difference is 25 lakhs.
Last updated on May 28, 2025
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