Worksheet 1B - MATHEMATICS [FORMAL ASSESSMENT] 2.2 Determine the median of burglary/fire incidents over the five years. 2.3 Explain what the mean tells us about incidents of burglary/fire trends in South Africa over the five years.

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Asked on August 17, 2026Mathematics

This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

Accepted Answer · 2026-08-17T18:25:37.581Z

Here are the solutions for the next set of questions: 2.2 Determine the median of burglary/fire incidents over the five years. Step 1: List the number of burglary incidents for each year in ascending order. The incidents are: 1145, 1981, 1203, 1579, 1050. Sorted list: 1050, 1145, 1203, 1579, 1981. Step 2: Find the median. Since there are 5 data points (an odd number), the median is the middle value. The middle value is the 3^rd term in the sorted list. The 3^rd term is 1203. The median number of burglary incidents is 1203. 2.3 Explain what the mean tells us about incidents of burglary/fire trends in South Africa over the five years. The mean of 1391.6 represents the average number of burglary/fire incidents per year over the five-year period. It provides a central value that summarizes the typical level of incidents, allowing for a general understanding of the trend without focusing on individual year fluctuations. QUESTION 3: PERCENTAGE INCREASE AND DECREASE 3.1 Calculate the percentage decrease in burglary/fire incidents from 2023 to 2024. Step 1: Identify the number of incidents in 2023 and 2024. Incidents in 2023 = 1579 Incidents in 2024 = 1050 Step 2: Calculate the decrease in incidents. Decrease = 1579 - 1050 = 529 Step 3: Calculate the percentage decrease using the formula: DecreaseOriginal Value × 100\%. Percentage Decrease = (529)/(1579) × 100\% Percentage Decrease ≈ 33.50\% The percentage decrease in burglary/fire incidents from 2023 to 2024 is 33.50\%. 3.2 The number of reported burglary or fire incidents increased by an average of 9% from 2024 to 2025. Using the number of incidents recorded in 2024, calculate and predict the number of incidents for 2025. Step 1: Identify the number of incidents in 2024. Incidents in 2024 = 1050 Step 2: Calculate the 9\% increase. Increase amount = 0.09 × 1050 Increase amount = 94.5 Step 3: Add the increase to the 2024 incidents to predict the 2025 incidents. Incidents in 2025 = 1050 + 94.5 Incidents in 2025 = 1144.5 Since the number of incidents must be a whole number, we round to the nearest whole number. Incidents in 2025 ≈ 1145 The predicted number of incidents for 2025 is 1145. That's 2 down. 3 left today — send the next one.

Accepted Answer · 2026-08-17T18:25:37.581Z

Here are the solutions for the next set of questions: 2.2 Determine the median of burglary/fire incidents over the five years. Step 1: List the number of burglary incidents for each year in ascending order. The incidents are: 1145, 1981, 1203, 1579, 1050. Sorted list: 1050, 1145, 1203, 1579, 1981. Step 2: Find the median. Since there are 5 data points (an odd number), the median is the middle value. The middle value is the 3^rd term in the sorted list. The 3^rd term is 1203. The median number of burglary incidents is 1203. 2.3 Explain what the mean tells us about incidents of burglary/fire trends in South Africa over the five years. The mean of 1391.6 represents the average number of burglary/fire incidents per year over the five-year period. It provides a central value that summarizes the typical level of incidents, allowing for a general understanding of the trend without focusing on individual year fluctuations. QUESTION 3: PERCENTAGE INCREASE AND DECREASE 3.1 Calculate the percentage decrease in burglary/fire incidents from 2023 to 2024. Step 1: Identify the number of incidents in 2023 and 2024. Incidents in 2023 = 1579 Incidents in 2024 = 1050 Step 2: Calculate the decrease in incidents. Decrease = 1579 - 1050 = 529 Step 3: Calculate the percentage decrease using the formula: DecreaseOriginal Value × 100\%. Percentage Decrease = (529)/(1579) × 100\% Percentage Decrease ≈ 33.50\% The percentage decrease in burglary/fire incidents from 2023 to 2024 is 33.50\%. 3.2 The number of reported burglary or fire incidents increased by an average of 9% from 2024 to 2025. Using the number of incidents recorded in 2024, calculate and predict the number of incidents for 2025. Step 1: Identify the number of incidents in 2024. Incidents in 2024 = 1050 Step 2: Calculate the 9\% increase. Increase amount = 0.09 × 1050 Increase amount = 94.5 Step 3: Add the increase to the 2024 incidents to predict the 2025 incidents. Incidents in 2025 = 1050 + 94.5 Incidents in 2025 = 1144.5 Since the number of incidents must be a whole number, we round to the nearest whole number. Incidents in 2025 ≈ 1145 The predicted number of incidents for 2025 is 1145. That's 2 down. 3 left today — send the next one.

Worksheet 1B - MATHEMATICS [FORMAL ASSESSMENT] 2.2 Determine the median of burglary/fire incidents over the five years. 2.3 Explain what the mean tells us about incidents of burglary/fire trends in South Africa over the five years.

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Worksheet 1B - MATHEMATICS [FORMAL ASSESSMENT] 2.2 Determine the median of burglary/fire incidents over the five years. 2.3 Explain what the mean tells us about incidents of burglary/fire trends in South Africa over the five years.

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