Calculate the median of the following set: 22, 19, 25, 30, 28, 24.
Practice Questions
Q1
Calculate the median of the following set: 22, 19, 25, 30, 28, 24.
24
25
26
27
Questions & Step-by-Step Solutions
Calculate the median of the following set: 22, 19, 25, 30, 28, 24.
Step 1: Write down the numbers: 22, 19, 25, 30, 28, 24.
Step 2: Arrange the numbers in order from smallest to largest: 19, 22, 24, 25, 28, 30.
Step 3: Count how many numbers there are in the set. There are 6 numbers.
Step 4: Since there are 6 numbers (an even amount), find the 3rd and 4th numbers in the arranged list.
Step 5: The 3rd number is 24 and the 4th number is 25.
Step 6: Calculate the average of the 3rd and 4th numbers: (24 + 25) / 2.
Step 7: Perform the addition: 24 + 25 = 49.
Step 8: Divide the sum by 2: 49 / 2 = 24.5.
Step 9: The median of the set is 24.5.
Median Calculation – The median is the middle value of a data set when arranged in ascending order. If there is an even number of observations, the median is the average of the two middle numbers.