marks obtaine 20 by 4 students ,30 by 3.40by 4,50 by 5,60 by 2,70 by 2. find the median .find average who scored more than median value

To solve this problem, we'll first find the median of the marks obtained by the students. Then, we'll calculate the average of the scores of students who scored more than the median value.

### Step 1: List All the Scores

First, let's list all the scores based on the given dataTo solve this problem, we'll first find the median of the marks obtained by the students. Then, we'll calculate the average of the scores of students who scored more than the median value.

### Step 1: List All the Scores

First, let's list all the scores based on the given 

- 20 marks by 4 students: \(20, 20, 20, 20\)
- 30 marks by 3 students: \(30, 30, 30\)
- 40 marks by 4 students: \(40, 40, 40, 40\)
- 50 marks by 5 students: \(50, 50, 50, 50, 50\)
- 60 marks by 2 students: \(60, 60\)
- 70 marks by 2 students: \(70, 70\)

### Step 2: Arrange Scores in Ascending Order

Combine all the scores and arrange them in ascending order:

\[
20, 20, 20, 20, 30, 30, 30, 40, 40, 40, 40, 50, 50, 50, 50, 50, 60, 60, 70, 70
\]

### Step 3: Find the Median

The median is the middle value of the ordered data set. If there is an even number of observations, the median is the average of the two middle numbers.

There are 20 students in total, so the median will be the average of the 10th and 11th values:

\[
10\text{th value} = 40, \quad 11\text{th value} = 40
\]

\[
\text{Median} = \frac{40 + 40}{2} = 40
\]

### Step 4: Find Average of Scores Greater than Median

Now, let's find the average of the scores for students who scored more than the median (40).

The scores above the median are:

\[
50, 50, 50, 50, 50, 60, 60, 70, 70
\]

There are 9 scores. We will calculate their average:

\[
\text{Sum of scores} = 50 + 50 + 50 + 50 + 50 + 60 + 60 + 70 + 70 = 510
\]

\[
\text{Average} = \frac{\text{Sum of scores}}{\text{Number of scores}} = \frac{510}{9} \approx 56.67
\]

### Final Answers

1. **Median:** 40  
2. **Average of Scores Greater than Median:** 56.67  

Would you like more details or have any other questions? Here are some related questions:

1. How do you calculate the median if there are an odd number of data points?
2. What is the difference between mean and median in statistics?
3. How can you find the mode in a given data set?
4. What are the implications of having a higher average than the median?
5. Can the average ever be lower than the lowest value in a data set?

**Tip:** Always organize your data in ascending order to make finding the median easier.

Learn how to find the median and average of scores obtained by students. Step-by-step solution includes listing scores, finding the median, and calculating the average of scores above the median. Suitable for Grades 9-12.

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