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
The problem asks us to find the median for two sets of numbers. a) The numbers are: 2, 6, 5, 8, 9, 4. Step 1: Arrange the numbers in ascending order. 2, 4, 5, 6, 8, 9 Step 2: Count the total number of values (n). There are 6 numbers in the set, so n = 6. Step 3: Determine the position of the median. Since n is an even number, the median is the average of the two middle values. These are the values at positions (n)/(2) and (n)/(2) + 1. The positions are (6)/(2) = 3 and (6)/(2) + 1 = 4. So, we need to find the 3rd and 4th values in the ordered list. Step 4: Identify the 3rd and 4th values. The ordered list is: 2, 4, 5, 6, 8, 9 The 3rd value is 5. The 4th value is 6. Step 5: Calculate the median. The median is the average of the 3rd and 4th values. Median = (5 + 6)/(2) Median = (11)/(2) Median = 5.5 The median for part a) is 5.5. b) The numbers are: 1, 2, 8, 3, 5, 8. Step 1: Arrange the numbers in ascending order. 1, 2, 3, 5, 8, 8 Step 2: Count the total number of values (n). There are 6 numbers in the set, so n = 6. Step 3: Determine the position of the median. Since n is an even number, the median is the average of the two middle values. These are the values at positions (n)/(2) and (n)/(2) + 1. The positions are (6)/(2) = 3 and (6)/(2) + 1 = 4. So, we need to find the 3rd and 4th values in the ordered list. Step 4: Identify the 3rd and 4th values. The ordered list is: 1, 2, 3, 5, 8, 8 The 3rd value is 3. The 4th value is 5. Step 5: Calculate the median. The median is the average of the 3rd and 4th values. Median = (3 + 5)/(2) Median = (8)/(2) Median = 4 The median for part b) is 4. Got more? Send 'em.