Bar Graphs: Formulas, Shortcuts and Solved Examples — MCQs with Answers (Set 2)

Read the two bars for 2020 on the chart. IT = 155. HR = 383. HR’s bar is taller, at 383 against 155. Difference = 383 – 155 = 228. Check: 155 + 228 = 383, which matches HR’s value of 383.

Read the two bars for Q3 on the chart. Fiction = 16. Non-Fiction = 87. Percentage = (Fiction / Non-Fiction) x 100 = (16/87) x 100 = 18.39%. Rounded to the nearest whole number, that is 18%. Check: 18% of 87 = 16, close to Fiction’s actual value of 16.

Compare every category’s bar for Q4 on the chart. Poetry = 162. Comics = 155. Children’s = 184. Fiction = 173. Non-Fiction = 86. Non-Fiction’s bar is the shortest, at 86. The next-lowest value is 155, still higher than Non-Fiction’s 86. So Non-Fiction had the lowest books sold in Q4.

Compare every category’s bar for Q4 on the chart. Poetry = 162. Comics = 155. Children’s = 184. Fiction = 173. Non-Fiction = 86. Children’s’s bar is the tallest, at 184. The next-highest value is 173, still lower than Children’s’s 184. So Children’s had the highest books sold in Q4.

Read the two bars for 2017 on the chart. BCA = 490. B.Com = 781. Percentage = (BCA / B.Com) x 100 = (490/781) x 100 = 62.74%. Rounded to the nearest whole number, that is 63%. Check: 63% of 781 = 492, close to BCA’s actual value of 490.

Look at the year 2018 on the chart and read every category’s bar. B.Tech = 511. B.Sc. = 708. BCA = 267. B.Com = 751. B.Ed. = 487. Add all 5 categories: 511 + 708 + 267 + 751 + 487 = 2724. Check by adding in reverse order: 487 + 751 + 267 + 708 + 511 = 2724 again. So the total students enrolled of all categories in 2018 is 2724.

Look at 2017 on the chart and read each category’s bar. B.Tech = 639. B.Sc. = 880. BCA = 490. B.Com = 781. B.Ed. = 444. Add all 5 categories: 639 + 880 + 490 + 781 + 444 = 3234. Average = total divided by 5 categories: 3234 / 5 = 646.8. Check: 646.8 x 5 ~ 3234. So the average students enrolled across all categories in 2017 is 646.8.

Read B.Ed.’s bar for each year on the chart. 2016: B.Ed. = 103. 2017: B.Ed. = 444. 2018: B.Ed. = 487. 2019: B.Ed. = 741. 2020: B.Ed. = 584. Add all 5 years: 103 + 444 + 487 + 741 + 584 = 2359. Check by adding in reverse order: 584 + 741 + 487 + 444 + 103 = 2359 again. So the total students enrolled of B.Ed. is 2359.

Compare every category’s bar for 2016 on the chart. B.Tech = 842. B.Sc. = 659. BCA = 624. B.Com = 837. B.Ed. = 103. B.Ed.’s bar is the shortest, at 103. The next-lowest value is 624, still higher than B.Ed.’s 103. So B.Ed. had the lowest students enrolled in 2016.

Read B.Com’s bar for each year on the chart. 2016: B.Com = 837. 2017: B.Com = 781. 2018: B.Com = 751. 2019: B.Com = 189. 2020: B.Com = 155. Add all 5 values: 837 + 781 + 751 + 189 + 155 = 2713. Average = total divided by 5 years: 2713 / 5 = 542.6. Check: 542.6 x 5 ~ 2713. So the average students enrolled of B.Com is 542.6.

Read the two bars for 2016 on the chart. Prime Retail = 126. Infotech Ltd = 375. Percentage = (Prime Retail / Infotech Ltd) x 100 = (126/375) x 100 = 33.60%. Rounded to the nearest whole number, that is 34%. Check: 34% of 375 = 128, close to Prime Retail’s actual value of 126.

Compare Nova Textiles’s bar across every year on the chart. 2014: Nova Textiles = 85. 2015: Nova Textiles = 48. 2016: Nova Textiles = 466. 2017: Nova Textiles = 392. 2018: Nova Textiles = 147. The tallest bar is in 2016, at 466. The next-highest value is 392, still lower than 2016’s 466. So the revenue earned of Nova Textiles was highest in 2016.

Read the two bars for 2015 on the chart. Infotech Ltd = 121. Prime Retail = 395. Prime Retail’s bar is taller, at 395 against 121. Difference = 395 – 121 = 274. Check: 121 + 274 = 395, which matches Prime Retail’s value of 395.

Read Sunrise Corp’s bar for each year on the chart. 2015: Sunrise Corp = 45. 2016: Sunrise Corp = 285. 2017: Sunrise Corp = 175. 2018: Sunrise Corp = 216. 2019: Sunrise Corp = 229. Add all 5 values: 45 + 285 + 175 + 216 + 229 = 950. Average = total divided by 5 years: 950 / 5 = 190. Check: 190 x 5 = 950. So the average revenue earned of Sunrise Corp is 190.

Read Metro Traders’s bar in both 2016 and 2017 from the chart. 2016: Metro Traders = 456. 2017: Metro Traders = 164. Change = 164 – 456 = -292. Percentage change = ((164 – 456) / 456) x 100 = -64.04%. Rounded, that is about 64% decrease. Check: a 64% decrease on 456 gives about 456 – 292 = 164, close to the actual 164.

Look at the year 2018 on the chart and read every category’s bar. Delta Foods = 458. Nova Textiles = 150. Metro Traders = 101. Sunrise Corp = 216. Bluewave Inc = 504. Add all 5 categories: 458 + 150 + 101 + 216 + 504 = 1429. Check by adding in reverse order: 504 + 216 + 101 + 150 + 458 = 1429 again. So the total revenue earned of all categories in 2018 is 1429.

Read the two bars for 2018 on the chart. Sunrise Corp = 216. Nova Textiles = 150. Sunrise Corp’s bar is taller, at 216 against 150. Difference = 216 – 150 = 66. Check: 150 + 66 = 216, which matches Sunrise Corp’s value of 216.

Compare every category’s bar for 2018 on the chart. Delta Foods = 458. Nova Textiles = 150. Metro Traders = 101. Sunrise Corp = 216. Bluewave Inc = 504. Bluewave Inc’s bar is the tallest, at 504. The next-highest value is 458, still lower than Bluewave Inc’s 504. So Bluewave Inc had the highest revenue earned in 2018.

Read Rohit’s bar in both Match 3 and Match 4 from the chart. Match 3: Rohit = 60. Match 4: Rohit = 49. Change = 49 – 60 = -11. Percentage change = ((49 – 60) / 60) x 100 = -18.33%. Rounded, that is about 18% decrease. Check: a 18% decrease on 60 gives about 60 – 11 = 49, close to the actual 49.

Compare Rohit’s bar across every match on the chart. Match 1: Rohit = 43. Match 2: Rohit = 28. Match 3: Rohit = 60. Match 4: Rohit = 49. Match 5: Rohit = 83. The tallest bar is in Match 5, at 83. The next-highest value is 60, still lower than Match 5’s 83. So the runs scored of Rohit was highest in Match 5.

Look at the match Match 1 on the chart and read every category’s bar. Manoj = 34. Rohit = 43. Arjun = 70. Suresh = 20. Vikram = 103. Add all 5 categories: 34 + 43 + 70 + 20 + 103 = 270. Check by adding in reverse order: 103 + 20 + 70 + 43 + 34 = 270 again. So the total runs scored of all categories in Match 1 is 270.

Compare every category’s bar for 2018 on the chart. B.Sc. = 541. B.A. = 426. B.Tech = 923. BCA = 280. B.Com = 93. B.Com’s bar is the shortest, at 93. The next-lowest value is 280, still higher than B.Com’s 93. So B.Com had the lowest students enrolled in 2018.

Compare B.Tech’s bar across every year on the chart. 2018: B.Tech = 923. 2019: B.Tech = 865. 2020: B.Tech = 297. 2021: B.Tech = 825. 2022: B.Tech = 137. The tallest bar is in 2018, at 923. The next-highest value is 865, still lower than 2018’s 923. So the students enrolled of B.Tech was highest in 2018.

Read BCA’s bar for each year on the chart. 2018: BCA = 280. 2019: BCA = 871. 2020: BCA = 591. 2021: BCA = 826. 2022: BCA = 112. Add all 5 years: 280 + 871 + 591 + 826 + 112 = 2680. Check by adding in reverse order: 112 + 826 + 591 + 871 + 280 = 2680 again. So the total students enrolled of BCA is 2680.

Read the two bars for 2021 on the chart. B.A. = 134. BCA = 826. BCA’s bar is taller, at 826 against 134. Difference = 826 – 134 = 692. Check: 134 + 692 = 826, which matches BCA’s value of 826.