Median Grade Input Form
Enter grades as comma, space, semicolon, or line-separated values. The page validates, sorts, and analyzes them automatically.
Example Data Table
This sample dataset contains nine grades. After sorting, the fifth value is the median.
| Student | Grade |
|---|---|
| Student 1 | 88 |
| Student 2 | 74 |
| Student 3 | 92 |
| Student 4 | 67 |
| Student 5 | 81 |
| Student 6 | 95 |
| Student 7 | 73 |
| Student 8 | 84 |
| Student 9 | 78 |
Sorted grades: 67, 73, 74, 78, 81, 84, 88, 92, 95. Median grade: 81.
Formula Used
Step 1: Sort all grade values
Arrange the grades from the smallest value to the largest value before locating the center.
Step 2: Use the correct median rule
For an odd number of grades:
Median = x(n+1)/2
For an even number of grades:
Median = [xn/2 + x(n/2)+1] / 2
Here, x represents the ordered grade values and n represents the total number of valid grades.
Interpretation
The median grade marks the middle performance point. Half the valid grades lie at or below it, and half lie at or above it.
How to Use This Calculator
- Enter an optional class name and assessment name for reporting.
- Paste the grade values into the grade field using any supported separator.
- Set decimal precision, passing score, and optional minimum or maximum score limits.
- Choose a bin size for the frequency table and graph view.
- Click Calculate Median Grade to show the result above the form.
- Use the CSV or PDF buttons to save the generated summary and ordered values.
Frequently Asked Questions
1. What does the median grade represent?
It represents the middle score after all valid grades are sorted. It separates the lower half of the class from the upper half.
2. Why must grades be sorted first?
The median depends on position, not original entry order. Sorting reveals the center value or the two center values clearly.
3. What happens when the class has an even number of grades?
The calculator averages the two middle sorted grades. That average becomes the median grade for the full dataset.
4. Can I use decimal grades?
Yes. The calculator accepts decimal values and lets you choose how many decimal places appear in the results.
5. Is the median less affected by outliers?
Yes. Very high or very low grades usually influence the median less than the mean, making it useful for skewed distributions.
6. Why compare mean and median together?
Comparing both measures helps you spot skew. A large gap between them can suggest uneven grade distribution or outliers.
7. Can I export the results?
Yes. After calculation, you can download a CSV summary or a PDF report containing key metrics and tables.
8. Which inputs are treated as invalid?
Any non-numeric entry, or any score outside the optional minimum and maximum limits, is ignored and listed in a warning note.