Study 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.

F1 SSC Priyas 3 9 24 D9

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?

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SSC CHSL Exam 2024 Tier-I Official Paper (Held On: 03 Jul, 2024 Shift 2)
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  1. 25
  2. 40
  3. 30
  4. 50

Answer (Detailed Solution Below)

Option 1 : 25
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SSC CHSL Exam 2023 Tier-I Official Paper (Held On: 02 Aug 2023 Shift 1)
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Detailed Solution

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Given:

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.

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