Questions and Answers Type: | MCQ (Multiple Choice Questions). |

Main Topic: | Data Interpretation. |

Data Interpretation Sub-topic: | Bar Graph Questions and Answers. |

Number of Questions: | 5 Questions with Solutions. |

**Directions:** Study the following bar diagram carefully and answer the questions given below it.

**Import of petroleum (in billion dollars) in different years.**

- The average import of petroleum (in billion dollars) for the given period was?
- 5.4 Billion dollars
- 5.9 Billion dollars
- 6.3 Billion dollars
- 6.7 Billion dollars

Answer: (c) 6.3 Billion dollars

Solution: The total value of imported petroleum in the given period =

\((2.5 + 3.5 + 5.2 + 7.1 + 6.0 +\\ 8.3 + 9.4 + 8.4)\)

\(= 50.4\) Billion dollars

The average import of petroleum for the given period. $$ = \frac{50.4}{8} $$ $$ = 6.3 \ Billion \ dollars $$

Solution: The total value of imported petroleum in the given period =

\((2.5 + 3.5 + 5.2 + 7.1 + 6.0 +\\ 8.3 + 9.4 + 8.4)\)

\(= 50.4\) Billion dollars

The average import of petroleum for the given period. $$ = \frac{50.4}{8} $$ $$ = 6.3 \ Billion \ dollars $$

- In which year, there was the maximum percentage increase in the import of petroleum in comparison to the previous year?
- 2011
- 2012
- 2015
- 2017

Answer: (b) 2012

Solution: Increase in the import of petroleum (in percent) in different years. $$ 2011 = \left[\frac{3.5 - 2.5}{2.5} \times 100\right] \% $$ $$ = \left[\frac{1.0}{2.5} \times 100\right] \% $$ $$ = 40 \ \% $$ $$ 2012 = \left[\frac{5.2 - 3.5}{3.5} \times 100\right] \% $$ $$ = \left[\frac{1.7}{3.5} \times 100\right] \% $$ $$ = 48.58 \ \% $$ $$ 2013 = \left[\frac{7.1 - 5.2}{5.2} \times 100\right] \% $$ $$ = \left[\frac{1.9}{5.2} \times 100\right] \% $$ $$ = 36.54 \ \% $$ $$ 2015 = \left[\frac{8.3 - 6}{6} \times 100\right] \% $$ $$ = \left[\frac{2.3}{6} \times 100\right] \% $$ $$ = 38.34 \ \% $$ $$ 2016 = \left[\frac{9.4 - 8.3}{8.3} \times 100\right] \% $$ $$ = \left[\frac{1.1}{8.3} \times 100\right] \% $$ $$ = 13.26 \ \% $$ Hence, the maximum increase in import of petroleum was in the year 2012 \((48.58 \ \%)\).

Solution: Increase in the import of petroleum (in percent) in different years. $$ 2011 = \left[\frac{3.5 - 2.5}{2.5} \times 100\right] \% $$ $$ = \left[\frac{1.0}{2.5} \times 100\right] \% $$ $$ = 40 \ \% $$ $$ 2012 = \left[\frac{5.2 - 3.5}{3.5} \times 100\right] \% $$ $$ = \left[\frac{1.7}{3.5} \times 100\right] \% $$ $$ = 48.58 \ \% $$ $$ 2013 = \left[\frac{7.1 - 5.2}{5.2} \times 100\right] \% $$ $$ = \left[\frac{1.9}{5.2} \times 100\right] \% $$ $$ = 36.54 \ \% $$ $$ 2015 = \left[\frac{8.3 - 6}{6} \times 100\right] \% $$ $$ = \left[\frac{2.3}{6} \times 100\right] \% $$ $$ = 38.34 \ \% $$ $$ 2016 = \left[\frac{9.4 - 8.3}{8.3} \times 100\right] \% $$ $$ = \left[\frac{1.1}{8.3} \times 100\right] \% $$ $$ = 13.26 \ \% $$ Hence, the maximum increase in import of petroleum was in the year 2012 \((48.58 \ \%)\).

- Find the number of years when the import of petroleum was below average for the given period?
- 3
- 4
- 5
- 2

Answer: (b) 4

Solution: As we found the average import of petroleum for the given period was 6.3 Billion dollars, Hence in the years 2010, 2011, 2012, and 2014 the import of petroleum was below average.

Solution: As we found the average import of petroleum for the given period was 6.3 Billion dollars, Hence in the years 2010, 2011, 2012, and 2014 the import of petroleum was below average.

- Find in which of the following years, the average import of petroleum was nearly 6 billion dollars?
- 2012 and 2013
- 2011 and 2012
- 2015 and 2016
- 2016 and 2017

Answer: (a) 2012 and 2013

Solution: Average import of petroleum in 2012 and 2013. $$ = \frac{5.2 + 7.1}{2} $$ $$ = 6.15 \ Billion \ dollars $$ The average import of petroleum for other pairs of years was much below or higher than 6 billion dollars.

Solution: Average import of petroleum in 2012 and 2013. $$ = \frac{5.2 + 7.1}{2} $$ $$ = 6.15 \ Billion \ dollars $$ The average import of petroleum for other pairs of years was much below or higher than 6 billion dollars.

- What was the percentage decrease in the import of petroleum from 2013 to 2014?
- 10.16 %
- 12.29 %
- 14.23 %
- 15.49 %

Answer: (d) 15.49 %

Solution: Percentage decrease in import of petroleum from 2013 to 2014. $$ = \frac{6 - 7.1}{7.1} \times 100 $$ $$ = \frac{-1.1}{7.1} \times 100 $$ $$ = -15.49 \ \% $$

Solution: Percentage decrease in import of petroleum from 2013 to 2014. $$ = \frac{6 - 7.1}{7.1} \times 100 $$ $$ = \frac{-1.1}{7.1} \times 100 $$ $$ = -15.49 \ \% $$