Introduction to Data Interpretation
Direction: The bar graph provided below gives the data of the production of paper (in lakh tonnes) by three different companies X, Y and Z over the years. Study the bar chart and answer the following questions.
- The average production for five years is maximum for which company?
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From the given bar diagram , we see
Total production of Company X for 5 years = 30 + 45 + 25 + 50 + 40 = 190 lakh tonnes
Number of given years = 5Average production of Company X = Total production of Company X for 5 years lakh tonnes Number of given years Average production of Company X = 190 = 38 lakh tonnes 5
Total production of Company Y for 5 years = 25 + 35 + 35 + 40 + 50 = 185 lakh tonnes
Number of given years = 5Average production of Company Y = Total production of Company Y for 5 years lakh tonnes Number of given years Average production of Company Y = 185 = 37 lakh tonnes 5
Total production of Company Z for 5 years = 35 + 40 + 45 + 35 + 35 = 190 lakh tonnes
Number of given years = 5
Correct Option: A
From the given bar diagram , we see
Total production of Company X for 5 years = 30 + 45 + 25 + 50 + 40 = 190 lakh tonnes
Number of given years = 5Average production of Company X = Total production of Company X for 5 years lakh tonnes Number of given years Average production of Company X = 190 = 38 lakh tonnes 5
Total production of Company Y for 5 years = 25 + 35 + 35 + 40 + 50 = 185 lakh tonnes
Number of given years = 5Average production of Company Y = Total production of Company Y for 5 years lakh tonnes Number of given years Average production of Company Y = 185 = 37 lakh tonnes 5
Total production of Company Z for 5 years = 35 + 40 + 45 + 35 + 35 = 190 lakh tonnes
Number of given years = 5Average production of Company Z = Total production of Company Z for 5 years lakh tonnes Number of given years Average production of Company Z = 190 = 38 lakh tonnes 5
Thus , required answer is companies X and Z .
- The ration of the average production of company X in the period 1998-2000 to the average production of company Y in the same period is :
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As per the given bar graph , we have
Total production of company X during 1998 – 2000 = 25 + 50 + 40 = 115 lakh tonnes
Number of given years = 3Average production of company X ⇒ Total production of company X lakh tonnes Number of given years Average production of company X = 115 lakh tonnes 3
Total production of company Y during 1998 – 2000 = 35 + 40 + 50 = 125 lakh tonnes
Number of given years = 3Average production of company Y ⇒ Total production of company Y lakh tonnes Number of given years
Correct Option: B
As per the given bar graph , we have
Total production of company X during 1998 – 2000 = 25 + 50 + 40 = 115 lakh tonnes
Number of given years = 3Average production of company X ⇒ Total production of company X lakh tonnes Number of given years Average production of company X = 115 lakh tonnes 3
Total production of company Y during 1998 – 2000 = 35 + 40 + 50 = 125 lakh tonnes
Number of given years = 3Average production of company Y ⇒ Total production of company Y lakh tonnes Number of given years Average production of company Y ⇒ 125 lakh tonnes 3 Required ratio = 115 : 125 = 23 : 25 3 3
- The percentage of production of company Z to the production of company Y is maximum in :
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On the basis of given graph in question ,
Production of company Z in 1996 = 35 lakh tonnes
Production of company Y in 1996 = 25 lakh tonnesPercentage of production in year 1996 ⇒ 35 × 100 = 140% 25
Production of company Z in 1997 = 40 lakh tonnes
Production of company Y in 1997 = 35 lakh tonnesPercentage of production in year 1997 ⇒ 40 × 100 ≈ 114% 35
Correct Option: B
On the basis of given graph in question ,
Production of company Z in 1996 = 35 lakh tonnes
Production of company Y in 1996 = 25 lakh tonnesPercentage of production in year 1996 ⇒ 35 × 100 = 140% 25
Production of company Z in 1997 = 40 lakh tonnes
Production of company Y in 1997 = 35 lakh tonnesPercentage of production in year 1997 ⇒ 40 × 100 ≈ 114% 35
Production of company Z in 1998 = 45 lakh tonnes
Production of company Y in 1998 = 35 lakh tonnesPercentage of production in year 1998 ⇒ 45 × 100 ≈ 129% 35
Therefore , The percentage of production of company Z to the production of company Y is maximum in 1996 .
Direction: The following chart represents Demand and Production for 5 companies ABCDE. On the basis of the graph answer the questions.
- The ratio of the number of companies having more demand than production to those having more production than demand is :
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From the given bar diagram , we see
Number of companies having more demand than production ( having A , C and E companies ) = 3
Number of companies having more production than demand ( having B and D companies ) = 2
Required ratio = Number of companies having more demand than production : Number of companies having more production than demandCorrect Option: C
From the given bar diagram , we see
Number of companies having more demand than production ( having A , C and E companies ) = 3
Number of companies having more production than demand ( having B and D companies ) = 2
Required ratio = Number of companies having more demand than production : Number of companies having more production than demand
∴ Required ratio = 3 : 2
- The difference between average demand and average production of the five companies taken together is :
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As per the given bar graph , we have
Total production = 1500 + 1800 + 1000 + 2700 + 2200 = 9200
Total demand = 3000 + 600 + 2500 + 1200 + 3300 = 10600
Number of given companies = 5
Required difference = Average demand - Average productionRequired difference = 1 (10600 - 9200) 5
Correct Option: B
As per the given bar graph , we have
Total production = 1500 + 1800 + 1000 + 2700 + 2200 = 9200
Total demand = 3000 + 600 + 2500 + 1200 + 3300 = 10600
Number of given companies = 5
Required difference = Average demand - Average productionRequired difference = 1 (10600 - 9200) 5 Required difference = 1 × 1400 = 280 5