Numerical Reasoning: Data Interpretation Flashcards

A UN mission tracks its quarterly vehicle fuel consumption. Based on the data in the table below, what was the approximate percentage decrease in fuel consumption between the quarter with the highest consumption and the quarter with the lowest consumption? | Quarter | Fuel Consumed (liters) | |---|---| | Q1 | 45,000 | | Q2 | 52,000 | | Q3 | 48,500 | | Q4 | 39,000 |

Answer: 25.0%

First, identify the highest consumption (Q2: 52,000 liters) and the lowest consumption (Q4: 39,000 liters). The formula for percentage decrease is ((Highest - Lowest) / Highest) * 100. So, ((52,000 - 39,000) / 52,000) * 100 = (13,000 / 52,000) * 100 = 0.25 * 100 = 25.0%.

The pie chart below shows the regional distribution of 1,800 staff members in a UN agency. How many more staff members are based in Africa than in Latin America & Caribbean? **Chart Description:** A pie chart with the following distribution: Africa 35%, Asia-Pacific 25%, Europe 20%, Latin America & Caribbean 12%, Middle East 8%.

Answer: 414

First, find the percentage difference between Africa (35%) and Latin America & Caribbean (12%), which is 35% - 12% = 23%. Then, calculate 23% of the total number of staff members: 0.23 * 1,800 = 414. Therefore, there are 414 more staff members in Africa.

The line graph below shows the number of participants who completed a mandatory online training course each month. What was the average number of participants per month during the second half of the year (July to December)? **Graph Data Points:** Jan:150, Feb:175, Mar:200, Apr:225, May:210, Jun:190, Jul:250, Aug:280, Sep:310, Oct:290, Nov:320, Dec:350.

Answer: 300

To find the average for the second half of the year, sum the values from July to December and divide by 6 (the number of months). Sum = 250 + 280 + 310 + 290 + 320 + 350 = 1,800. Average = 1,800 / 6 = 300.

A report contains the following table on the number of aid packages delivered by different teams. Which team delivered the highest average number of packages per member? | Team | Team Members | Packages Delivered | |---|---|---| | Alpha | 8 | 1,040 | | Bravo | 6 | 840 | | Charlie| 9 | 1,080 | | Delta | 7 | 945 |

Answer: Team Bravo

Calculate the average packages per member for each team by dividing the total packages delivered by the number of team members. Alpha: 1,040 / 8 = 130. Bravo: 840 / 6 = 140. Charlie: 1,080 / 9 = 120. Delta: 945 / 7 = 135. Team Bravo has the highest average of 140 packages per member.

The bar chart below shows the number of security incidents reported in four different regions over two consecutive years. Which of the following statements is best supported by the data? **Chart Data:** - Region A: Year 1=50, Year 2=60 - Region B: Year 1=80, Year 2=60 - Region C: Year 1=40, Year 2=45 - Region D: Year 1=75, Year 2=75

Answer: Region B saw a 25% decrease in incidents from Year 1 to Year 2.

Let's evaluate each statement. A is false (Region D also had 75, and Region B had 60, higher than A's 60 is incorrect, Region D had 75, and B had 60). Let's recheck. A is false (Region D had 75). B is true: ((60-80)/80) * 100 = -25%. C is false (Total Y1=245, Total Y2=240, it decreased, but let's check other options for 'best supported'). Let's re-evaluate C. Total Y1 = 50+80+40+75 = 245. Total Y2 = 60+60+45+75 = 240. This statement is true. Let's re-evaluate B. ((60-80)/80) * 100 = -25%. This is also true and a more precise statement derived from the data. D is false (Regions A and C both saw increases). Between B and C, B provides a specific, verifiable calculation about one data set, which is a strong interpretation, while C is a general observation. In data interpretation, specific calculations are often the target. Let's re-examine A. Region A had 60, Region D had 75. A is definitively false. Let's re-examine D. Region A increased (50 to 60). Region C increased (40 to 45). So D is false. We are left with B and C, both factually correct. However, questions often test for precise calculations. The 25% decrease is a key calculation. Let's assume B is the intended correct answer as it requires a calculation. The decrease in Region B is ((80-60)/80)*100 = 25%. This is a precise and accurate statement derived directly from the chart.

A project's budget allocation is shown in the table. If the total budget is $500,000, what is the combined budget for 'Equipment' and 'Logistics'? | Category | Budget Percentage | |---|---| | Salaries | 45% | | Equipment | 22% | | Training | 13% | | Logistics | 15% | | Miscellaneous | 5% |

Answer: $185,000

First, add the percentages for Equipment (22%) and Logistics (15%) to get a combined percentage: 22% + 15% = 37%. Then, calculate this percentage of the total budget: 0.37 * $500,000 = $185,000.