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.
ScanSolve AI Answer
Here are the answers to Question 3: 3.1 The data represented above is discrete. This is because the number of books borrowed can only be whole, distinct values (e.g., 3 books, 4 books), and cannot be fractions or decimals. 3.2 Step 1: List the number of books borrowed by each learner from Table B. The numbers are: 8, 6, 4, 5, 3, 4, 7, 4. Step 2: Arrange the numbers in ascending order (from smallest to largest). The scores arranged in ascending order are: 3, 4, 4, 4, 5, 6, 7, 8. 3.3 Step 1: Sum all the data values. Sum = 3 + 4 + 4 + 4 + 5 + 6 + 7 + 8 = 41 Step 2: Count the total number of data values. There are 8 data values. Step 3: Calculate the mean using the formula: Mean = Sum of valuesNumber of values. Mean = (41)/(8) Mean = 5.125 The mean of the data collected is 5.125. 3.4 Step 1: Ensure the data is arranged in ascending order. The ordered data is: 3, 4, 4, 4, 5, 6, 7, 8. Step 2: Identify the number of data points. There are 8 data points, which is an even number. Step 3: For an even number of data points, the median is the average of the two middle values. The middle values are the 4th and 5th values. The 4th value is 4. The 5th value is 5. Step 4: Calculate the average of these two values. Median = (4 + 5)/(2) Median = (9)/(2) Median = 4.5 The median is 4.5. 3.5 Step 1: Identify the frequency of each data value in the ordered list. The ordered data is: 3, 4, 4, 4, 5, 6, 7, 8. • 3 appears once. • 4 appears three times. • 5 appears once. • 6 appears once. • 7 appears once. • 8 appears once. Step 2: Determine the value that appears most frequently. The value 4 appears most frequently (3 times). The mode is 4. 3.6 The mode best represents the data. This is because the data represents discrete counts (number of books), and the mode (4) indicates the most frequent number of books borrowed by the learners. It shows what the majority of the group did, which is often a useful representation for discrete data. That's 2 down. 3 left today — send the next one.