in a batch of 15 students failed in a test. the marks of 10 who have passed were 9,6,7,8,8,9,6,5,4,7.find the median of all 15 students.
It would help if you proofread your questions before you posted them. With 10 scores listed, I assume 5 failed.
The five who have failed must have scores below the lowest passing score. Arrange in order of value.
x,x,x,x,x,4,5,6,6,7,7,8,8,9,9.
If you are not evaluating within the interval, the median = 6
Answer:6
To find the median of all 15 students, we need to arrange their marks in ascending order.
First, let's list the marks of the ten students who passed the test: 9, 6, 7, 8, 8, 9, 6, 5, 4, 7.
Next, we add the marks of the five students who failed the test.
Assuming we don't know their exact marks, let's denote them by 'F'. We would add an 'F' for each of the five students who failed the test.
So, the list of marks for all 15 students is as follows: 9, 6, 7, 8, 8, 9, 6, 5, 4, 7, F, F, F, F, F.
Now, let's rearrange these marks in ascending order: 4, 5, 6, 6, 7, 7, 8, 8, 9, 9, F, F, F, F, F.
To find the median, we locate the middle value in the ordered list. In this case, there are 15 students, so the middle value will be in the 8th position.
Therefore, the median of all 15 students is 8.
To find the median of all 15 students, we need to arrange the marks in ascending order first.
Step 1: Arrange the marks in ascending order:
4, 5, 6, 6, 7, 7, 8, 8, 9, 9
Step 2: Find the middle value or values in the arranged set of marks.
Since we have an odd number of values (10), the median is the middle value. In this case, the median is the 6th value, which is 7.
So, the median of all 15 students is 7.
To summarize the steps:
1. Arrange the marks in ascending order.
2. Find the middle value (or values if there is an even number of values) in the arranged set of marks to determine the median.