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
1: The given set of marks is: 8, 6, 4, 10, 5, 8, 8, 6. 1.1.1 Rearrange these marks in an ascending order Step 1: List all the marks. The marks are 8, 6, 4, 10, 5, 8, 8, 6. Step 2: Arrange the marks from smallest to largest. 4, 5, 6, 6, 8, 8, 8, 10 The marks in ascending order are: 4, 5, 6, 6, 8, 8, 8, 10 1.1.2 Write down the mode of this set of marks Step 1: Identify the frequency of each mark in the sorted list. The sorted marks are 4, 5, 6, 6, 8, 8, 8, 10. • 4 appears once. • 5 appears once. • 6 appears twice. • 8 appears three times. • 10 appears once. Step 2: Determine the mark that appears most frequently. The mark that appears most often is 8. The mode is: 8 1.1.3 Determine the median for this set Step 1: Use the sorted list of marks. The sorted marks are 4, 5, 6, 6, 8, 8, 8, 10. There are n=8 marks, which is an even number. Step 2: Find the two middle values. For an even number of data points, the median is the average of the ((n)/(2))-th and ((n)/(2) + 1)-th values. The ((8)/(2))-th value is the 4th value, which is 6. The ((8)/(2) + 1)-th value is the 5th value, which is 8. Step 3: Calculate the average of the two middle values. Median = (6 + 8)/(2) = (14)/(2) = 7 The median is: 7 1.1.4 Calculate the mean for this set Step 1: Sum all the marks. Sum = 4 + 5 + 6 + 6 + 8 + 8 + 8 + 10 = 55 Step 2: Count the total number of marks. There are 8 marks. Step 3: Calculate the mean by dividing the sum by the number of marks. Mean = Sum of marksNumber of marks = (55)/(8) = 6.875 The mean is: 6.875 1.1.5 Calculate the range for this set Step 1: Identify the highest and lowest marks from the sorted list. The sorted marks are 4, 5, 6, 6, 8, 8, 8, 10. Highest mark = 10 Lowest mark = 4 Step 2: Calculate the difference between the highest and lowest marks. Range = Highest mark - Lowest mark = 10 - 4 = 6 The range is: 6 Send me the next one 📸