If the median of the data set {1, 2, 3, 4, 5, 6, 7, 8} is x, what is the value o
Practice Questions
Q1
If the median of the data set {1, 2, 3, 4, 5, 6, 7, 8} is x, what is the value of x?
4
4.5
5
6
Questions & Step-by-Step Solutions
If the median of the data set {1, 2, 3, 4, 5, 6, 7, 8} is x, what is the value of x?
Step 1: Identify the data set, which is {1, 2, 3, 4, 5, 6, 7, 8}.
Step 2: Count the number of elements in the data set. There are 8 elements.
Step 3: Since there is an even number of elements (8), the median will be the average of the two middle numbers.
Step 4: Find the two middle numbers. The middle numbers are the 4th and 5th elements in the sorted data set, which are 4 and 5.
Step 5: Calculate the average of the two middle numbers: (4 + 5) / 2.
Step 6: Perform the addition: 4 + 5 = 9.
Step 7: Divide the sum by 2: 9 / 2 = 4.5.
Step 8: Therefore, the value of x (the median) is 4.5.
Median – The median is the middle value of a data set when it is ordered. If there is an even number of observations, the median is the average of the two middle numbers.
