Data Interpretation: Graphs/Tables Flashcards

The following table shows the number of units sold for three different products (A, B, and C) over a four-year period. | Year | Product A | Product B | Product C | |---|---|---|---| | 2021 | 5,000 | 8,000 | 12,000 | | 2022 | 5,500 | 8,400 | 12,500 | | 2023 | 6,000 | 8,800 | 12,800 | | 2024 | 7,500 | 9,000 | 13,000 | Which product experienced the largest percentage increase in units sold from 2023 to 2024?

Answer: Product A

To find the percentage increase, use the formula: ((New Value - Old Value) / Old Value) * 100. Product A: ((7,500 - 6,000) / 6,000) * 100 = (1,500 / 6,000) * 100 = 25%. Product B: ((9,000 - 8,800) / 8,800) * 100 ≈ 2.27%. Product C: ((13,000 - 12,800) / 12,800) * 100 ≈ 1.56%. Therefore, Product A had the largest percentage increase.

The line graph below shows the monthly average temperature for City X and City Y over a six-month period. [A line graph where the X-axis is 'Month' (Jan to Jun) and the Y-axis is 'Average Temperature (°C)'. City X's line starts at 5, goes to 8, 12, 18, 22, 25. City Y's line starts at 15, goes to 16, 18, 20, 21, 22.] During which month was the absolute difference in average temperature between City X and City Y the greatest?

Answer: January

Calculate the difference for each month: January: |5 - 15| = 10°C February: |8 - 16| = 8°C March: |12 - 18| = 6°C April: |18 - 20| = 2°C May: |22 - 21| = 1°C June: |25 - 22| = 3°C The greatest difference was 10°C, which occurred in January.

The pie chart below represents the distribution of a company's $3,000,000 annual budget. [A pie chart with the following slices: Salaries (45%), Research & Development (25%), Marketing (15%), Operations (10%), Other (5%).] What is the total amount of money allocated to Marketing and Operations combined?

Answer: $900,000

First, add the percentages for Marketing and Operations: 15% + 10% = 25%. Then, calculate this percentage of the total budget: 0.25 * $3,000,000 = $750,000. Wait, let me re-calculate. 0.25 * 3,000,000 is 750,000. Let me check the options. Ah, I made a mistake in my thought process. Let's re-calculate. Marketing is 15% of $3M = 0.15 * 3,000,000 = $450,000. Operations is 10% of $3M = 0.10 * 3,000,000 = $300,000. Combined is $450,000 + $300,000 = $750,000. Let me re-verify the percentages. Marketing 15%, Operations 10%. Combined is 25%. 25% of 3,000,000 is 750,000. Let me check the provided options again. A: $450k, B: $750k, C: $1.2M, D: $900k. The correct answer should be $750,000. I seem to have made an error in my initial draft. Let me set the correct answer to B. No, let me change the question slightly to make D correct to maintain variety. Let's make Marketing 20% and Operations 10%. Combined 30%. 0.30 * 3,000,000 = $900,000. Let's use these new values. New pie chart: Salaries (40%), R&D (20%), Marketing (20%), Operations (10%), Other (10%). Total is 100%. Okay. Final Question and Explanation: The pie chart below represents the distribution of a company's $3,000,000 annual budget. [A pie chart with the following slices: Salaries (40%), R&D (20%), Marketing (20%), Operations (10%), Other (10%).] What is the total amount of money allocated to Marketing and Operations combined? First, find the combined percentage: Marketing (20%) + Operations (10%) = 30%. Next, calculate this percentage of the total budget: 0.30 * $3,000,000 = $900,000.

The bar chart shows the number of new subscribers for four different streaming services in two consecutive years, 2023 and 2024. [A bar chart with four groups of bars on the X-axis: StreamA, StreamB, StreamC, StreamD. Each group has two bars, for 2023 and 2024. Values are: StreamA (2023: 5M, 2024: 6M), StreamB (2023: 8M, 2024: 7.5M), StreamC (2023: 4M, 2024: 5.5M), StreamD (2023: 6M, 2024: 6M).] Based on the chart, which of the following statements is true?

Answer: StreamB was the only service to see a decrease in new subscribers.

Let's evaluate each statement: A) StreamA increased (5M to 6M), StreamB decreased (8M to 7.5M), StreamC increased (4M to 5.5M), and StreamD stayed the same (6M to 6M). Thus, only StreamB saw a decrease. This statement is true. B) Absolute increases: StreamA = 1M, StreamC = 1.5M. So, StreamC had the largest increase, not A. Wait, the statement says StreamC had the largest increase. Let's re-read. Yes, StreamC increase is 1.5M. Stream A increase is 1M. StreamB decreased. StreamD had no change. So statement B is also true. This is a problem. Let me re-design the question or data. Let's change StreamC's 2024 value to 4.5M. New values: StreamA (5M->6M, increase 1M), StreamB (8M->7.5M, decrease 0.5M), StreamC (4M->4.5M, increase 0.5M), StreamD (6M->6M, no change). Now let's re-evaluate the options. A) StreamB was the only service to see a decrease. This is true. B) StreamC had the largest absolute increase. This is false (StreamA's increase was 1M, StreamC's was 0.5M). C) In 2023, StreamA (5M) had more new subscribers than StreamD (6M). This is false. D) All services had at least 6 million new subscribers in 2024. This is false (StreamC had 4.5M). Therefore, the only true statement is A.

The table below displays patient satisfaction scores (out of 100) for four hospital departments, broken down by two age groups. | Department | Age <50 | Age 50+ | Average | |---|---|---|---| | Cardiology | 85 | 95 | 90 | | Orthopedics | 92 | 88 | 90 | | Oncology | 78 | 86 | 82 | | Neurology | 88 | 80 | 84 | Which department has the largest range of satisfaction scores between the two age groups?

Answer: Cardiology

The range is the difference between the highest and lowest scores. Calculate the range for each department: Cardiology: 95 - 85 = 10 Orthopedics: 92 - 88 = 4 Oncology: 86 - 78 = 8 Neurology: 88 - 80 = 8 The largest range is 10, which belongs to the Cardiology department.

A line graph shows a company's quarterly revenue over two years. [A line graph where the X-axis represents quarters from Year 1 Q1 to Year 2 Q4. The Y-axis is Revenue in Millions $. The data points are Y1Q1: $2.0, Y1Q2: $1.8, Y1Q3: $2.2, Y1Q4: $2.5, Y2Q1: $2.6, Y2Q2: $2.4, Y2Q3: $2.9, Y2Q4: $3.2.] What was the approximate percentage increase in revenue from the lowest point in Year 1 to the highest point in Year 2?

Answer: 78%

First, identify the lowest revenue point in Year 1, which is $1.8 million in Y1Q2. Next, identify the highest revenue point in Year 2, which is $3.2 million in Y2Q4. Now, calculate the percentage increase using the formula: ((Highest - Lowest) / Lowest) * 100. ((3.2 - 1.8) / 1.8) * 100 = (1.4 / 1.8) * 100 ≈ 77.78%. The closest answer is 78%.