Bar Graphs: Formulas, Shortcuts and Solved Examples — MCQs with Answers (Set 5)

Add every bar’s value in the chart, one year at a time. 2018 totals 2089. 2019 totals 1557. 2020 totals 1455. 2021 totals 1221. 2022 totals 1410. Add these 5 totals together: 2089 + 1557 + 1455 + 1221 + 1410 = 7732. So the grand total revenue earned of all categories over all years is 7732.

Compare every category’s bar for 2021 on the chart. Sunrise Corp = 357. Prime Retail = 191. Orbit Systems = 280. Metro Traders = 140. Bluewave Inc = 253. Sunrise Corp’s bar is the tallest, at 357. The next-highest value is 280, still lower than Sunrise Corp’s 357. So Sunrise Corp had the highest revenue earned in 2021.

Look at 2014 on the chart and read each category’s bar. Udaipur = 188. Ooty = 256. Manali = 268. Jaipur = 184. Shimla = 128. Add all 5 categories: 188 + 256 + 268 + 184 + 128 = 1024. Average = total divided by 5 categories: 1024 / 5 = 204.8. Check: 204.8 x 5 ~ 1024. So the average tourists visiting across all categories in 2014 is 204.8.

Compare every category’s bar for 2013 on the chart. Udaipur = 234. Ooty = 366. Manali = 238. Jaipur = 89. Shimla = 164. Jaipur’s bar is the shortest, at 89. The next-lowest value is 164, still higher than Jaipur’s 89. So Jaipur had the lowest tourists visiting in 2013.

Compare every category’s bar for 2014 on the chart. Udaipur = 188. Ooty = 256. Manali = 268. Jaipur = 184. Shimla = 128. Manali’s bar is the tallest, at 268. The next-highest value is 256, still lower than Manali’s 268. So Manali had the highest tourists visiting in 2014.

Read Ooty’s bar for each year on the chart. 2013: Ooty = 366. 2014: Ooty = 256. 2015: Ooty = 367. 2016: Ooty = 106. 2017: Ooty = 270. Add all 5 years: 366 + 256 + 367 + 106 + 270 = 1365. Check by adding in reverse order: 270 + 106 + 367 + 256 + 366 = 1365 again. So the total tourists visiting of Ooty is 1365.

Compare every category’s bar for Q3 on the chart. Comics = 84. Academic = 31. Non-Fiction = 182. Biography = 162. Children’s = 120. Academic’s bar is the shortest, at 31. The next-lowest value is 84, still higher than Academic’s 31. So Academic had the lowest books sold in Q3.

Read the two bars for 2016 on the chart. HR = 400. Finance = 294. Percentage = (HR / Finance) x 100 = (400/294) x 100 = 136.05%. Rounded to the nearest whole number, that is 136%. Check: 136% of 294 = 400, close to HR’s actual value of 400.

Compare HR’s bar across every year on the chart. 2013: HR = 40. 2014: HR = 184. 2015: HR = 181. 2016: HR = 400. 2017: HR = 66. The tallest bar is in 2016, at 400. The next-highest value is 184, still lower than 2016’s 400. So the employees working of HR was highest in 2016.

Read the two bars for 2016 on the chart. Sales = 347. IT = 296. Sales’s bar is taller, at 347 against 296. Difference = 347 – 296 = 51. Check: 296 + 51 = 347, which matches Sales’s value of 347.

Read the two bars for 2014 on the chart. HR = 184. Production = 276. Ratio = 184 : 276. Divide both sides by their common factor to simplify: 184 : 276 = 2 : 3. Check: 2 x 276 = 552 and 3 x 184 = 552, which are equal, confirming the ratio. So the ratio of HR to Production in 2014 is 2 : 3.

Read B.Ed.’s bar for each year on the chart. 2019: B.Ed. = 581. 2020: B.Ed. = 271. 2021: B.Ed. = 935. 2022: B.Ed. = 675. 2023: B.Ed. = 440. Add all 5 values: 581 + 271 + 935 + 675 + 440 = 2902. Average = total divided by 5 years: 2902 / 5 = 580.4. Check: 580.4 x 5 ~ 2902. So the average students enrolled of B.Ed. is 580.4.

Read B.A.’s bar in both 2020 and 2021 from the chart. 2020: B.A. = 464. 2021: B.A. = 372. Change = 372 – 464 = -92. Percentage change = ((372 – 464) / 464) x 100 = -19.83%. Rounded, that is about 20% decrease. Check: a 20% decrease on 464 gives about 464 – 93 = 371, close to the actual 372.

Look at the year 2020 on the chart and read every category’s bar. B.Com = 169. B.Ed. = 271. B.Sc. = 854. B.A. = 464. B.Tech = 363. Add all 5 categories: 169 + 271 + 854 + 464 + 363 = 2121. Check by adding in reverse order: 363 + 464 + 854 + 271 + 169 = 2121 again. So the total students enrolled of all categories in 2020 is 2121.

Read the two bars for 2021 on the chart. B.Ed. = 935. B.Com = 544. B.Ed.’s bar is taller, at 935 against 544. Difference = 935 – 544 = 391. Check: 544 + 391 = 935, which matches B.Ed.’s value of 935.

Compare every category’s bar for 2023 on the chart. B.Com = 681. B.Ed. = 440. B.Sc. = 836. B.A. = 632. B.Tech = 722. B.Sc.’s bar is the tallest, at 836. The next-highest value is 722, still lower than B.Sc.’s 836. So B.Sc. had the highest students enrolled in 2023.

Read Poetry’s bar in both Q1 and Q2 from the chart. Q1: Poetry = 134. Q2: Poetry = 55. Change = 55 – 134 = -79. Percentage change = ((55 – 134) / 134) x 100 = -58.96%. Rounded, that is about 59% decrease. Check: a 59% decrease on 134 gives about 134 – 79 = 55, close to the actual 55.

Read Non-Fiction’s bar for each quarter on the chart. Q1: Non-Fiction = 125. Q2: Non-Fiction = 80. Q3: Non-Fiction = 103. Q4: Non-Fiction = 28. Q5: Non-Fiction = 67. Add all 5 values: 125 + 80 + 103 + 28 + 67 = 403. Average = total divided by 5 quarters: 403 / 5 = 80.6. Check: 80.6 x 5 ~ 403. So the average books sold of Non-Fiction is 80.6.

Look at Q5 on the chart and read each category’s bar. Children’s = 65. Comics = 164. Poetry = 51. Non-Fiction = 67. Self-Help = 186. Add all 5 categories: 65 + 164 + 51 + 67 + 186 = 533. Average = total divided by 5 categories: 533 / 5 = 106.6. Check: 106.6 x 5 ~ 533. So the average books sold across all categories in Q5 is 106.6.

Compare every category’s bar for Q1 on the chart. Children’s = 61. Comics = 66. Poetry = 134. Non-Fiction = 125. Self-Help = 130. Children’s’s bar is the shortest, at 61. The next-lowest value is 66, still higher than Children’s’s 61. So Children’s had the lowest books sold in Q1.

Compare Non-Fiction’s bar across every quarter on the chart. Q1: Non-Fiction = 125. Q2: Non-Fiction = 80. Q3: Non-Fiction = 103. Q4: Non-Fiction = 28. Q5: Non-Fiction = 67. The tallest bar is in Q1, at 125. The next-highest value is 103, still lower than Q1’s 125. So the books sold of Non-Fiction was highest in Q1.

Read Finance’s bar for each year on the chart. 2013: Finance = 472. 2014: Finance = 236. 2015: Finance = 275. 2016: Finance = 181. 2017: Finance = 89. Add all 5 years: 472 + 236 + 275 + 181 + 89 = 1253. Check by adding in reverse order: 89 + 181 + 275 + 236 + 472 = 1253 again. So the total employees working of Finance is 1253.

Read the two bars for 2015 on the chart. Support = 138. Production = 130. Support’s bar is taller, at 138 against 130. Difference = 138 – 130 = 8. Check: 130 + 8 = 138, which matches Support’s value of 138.

Compare every category’s bar for 2017 on the chart. HR = 445. Production = 143. Finance = 89. IT = 109. Support = 316. HR’s bar is the tallest, at 445. The next-highest value is 316, still lower than HR’s 445. So HR had the highest employees working in 2017.

Compare every category’s bar for Match 1 on the chart. Vikram = 43. Arjun = 125. Karan = 105. Rahul = 13. Manoj = 71. Rahul’s bar is the shortest, at 13. The next-lowest value is 43, still higher than Rahul’s 13. So Rahul had the lowest runs scored in Match 1.

Compare every category’s bar for Match 5 on the chart. Vikram = 20. Arjun = 90. Karan = 50. Rahul = 137. Manoj = 68. Rahul’s bar is the tallest, at 137. The next-highest value is 90, still lower than Rahul’s 137. So Rahul had the highest runs scored in Match 5.

Read the two bars for Match 3 on the chart. Arjun = 106. Vikram = 60. Percentage = (Arjun / Vikram) x 100 = (106/60) x 100 = 176.67%. Rounded to the nearest whole number, that is 177%. Check: 177% of 60 = 106, close to Arjun’s actual value of 106.

Read Manoj’s bar for each match on the chart. Match 1: Manoj = 71. Match 2: Manoj = 16. Match 3: Manoj = 96. Match 4: Manoj = 76. Match 5: Manoj = 68. Add all 5 matches: 71 + 16 + 96 + 76 + 68 = 327. Check by adding in reverse order: 68 + 76 + 96 + 16 + 71 = 327 again. So the total runs scored of Manoj is 327.

Look at the year 2017 on the chart and read every category’s bar. IT = 321. Logistics = 357. HR = 227. Finance = 340. Production = 464. Add all 5 categories: 321 + 357 + 227 + 340 + 464 = 1709. Check by adding in reverse order: 464 + 340 + 227 + 357 + 321 = 1709 again. So the total employees working of all categories in 2017 is 1709.

Look at 2016 on the chart and read each category’s bar. IT = 187. Logistics = 372. HR = 430. Finance = 151. Production = 363. Add all 5 categories: 187 + 372 + 430 + 151 + 363 = 1503. Average = total divided by 5 categories: 1503 / 5 = 300.6. Check: 300.6 x 5 ~ 1503. So the average employees working across all categories in 2016 is 300.6.

Read Production’s bar for each year on the chart. 2013: Production = 54. 2014: Production = 81. 2015: Production = 42. 2016: Production = 363. 2017: Production = 464. Add all 5 years: 54 + 81 + 42 + 363 + 464 = 1004. Check by adding in reverse order: 464 + 363 + 42 + 81 + 54 = 1004 again. So the total employees working of Production is 1004.

Compare every category’s bar for 2013 on the chart. IT = 164. Logistics = 385. HR = 183. Finance = 262. Production = 54. Production’s bar is the shortest, at 54. The next-lowest value is 164, still higher than Production’s 54. So Production had the lowest employees working in 2013.

Add every bar’s value in the chart, one year at a time. 2016 totals 1216. 2017 totals 845. 2018 totals 1311. 2019 totals 1815. 2020 totals 767. Add these 5 totals together: 1216 + 845 + 1311 + 1815 + 767 = 5954. So the grand total employees working of all categories over all years is 5954.

Read the two bars for 2016 on the chart. R&D = 131. Finance = 157. Percentage = (R&D / Finance) x 100 = (131/157) x 100 = 83.44%. Rounded to the nearest whole number, that is 83%. Check: 83% of 157 = 130, close to R&D’s actual value of 131.

Compare IT’s bar across every year on the chart. 2016: IT = 335. 2017: IT = 224. 2018: IT = 279. 2019: IT = 416. 2020: IT = 73. The tallest bar is in 2019, at 416. The next-highest value is 335, still lower than 2019’s 416. So the employees working of IT was highest in 2019.

Read the two bars for 2016 on the chart. HR = 392. Finance = 157. HR’s bar is taller, at 392 against 157. Difference = 392 – 157 = 235. Check: 157 + 235 = 392, which matches HR’s value of 392.

Read the two bars for 2020 on the chart. Production = 66. R&D = 230. Ratio = 66 : 230. Divide both sides by their common factor to simplify: 66 : 230 = 33 : 115. Check: 33 x 230 = 7590 and 115 x 66 = 7590, which are equal, confirming the ratio. So the ratio of Production to R&D in 2020 is 33 : 115.

Read Production’s bar for each year on the chart. 2016: Production = 201. 2017: Production = 71. 2018: Production = 362. 2019: Production = 425. 2020: Production = 66. Add all 5 values: 201 + 71 + 362 + 425 + 66 = 1125. Average = total divided by 5 years: 1125 / 5 = 225. Check: 225 x 5 = 1125. So the average employees working of Production is 225.