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Average Calculator (Mean, Median, Mode)

Paste or type your numbers — separated by commas, spaces or new lines — and get the average (arithmetic mean) along with the median, mode, range, sum and count. Perfect for calculating average marks or checking data handling homework.

Separate numbers with commas, spaces or new lines.

Average (mean)
82
Median
85
Mode
None
Range
25
Sum
410
Count
5
Minimum
67
Maximum
92
Step-by-step solution
  1. Sum = 78 + 85 + 92 + 67 + 88 = 410
  2. Count = 5
  3. Average (mean) = Sum ÷ Count = 410 ÷ 5 = 82
  4. Median: the middle (3th) value of the sorted list = 85
  5. Mode: none (no value repeats)
  6. Range = Max − Min = 92 − 67 = 25

How to use the average calculator

  1. Type or paste your numbers into the box. Commas, spaces and new lines all work as separators.
  2. The mean, median, mode, range, sum and count appear instantly.
  3. Check the step-by-step working to see how each value was found.

Formulas

Average (mean)Sum of observations ÷ Number of observations
Median (odd n)Value at position (n + 1) ÷ 2 in sorted order
Median (even n)Average of values at positions n/2 and n/2 + 1
ModeValue that occurs most often
RangeLargest value − Smallest value

Solved examples

Example 1: Marks in five subjects: 78, 85, 92, 67, 88. Find the average.

  • Sum = 78 + 85 + 92 + 67 + 88 = 410
  • Average = 410 ÷ 5

Answer: 82

Example 2: Find the median of 4, 9, 2, 7.

  • Sorted: 2, 4, 7, 9
  • Median = (4 + 7) ÷ 2

Answer: 5.5

Example 3: The average of 10 numbers is 40. If one number, 58, is removed, what is the new average?

  • Total = 10 × 40 = 400
  • New total = 400 − 58 = 342, count = 9
  • New average = 342 ÷ 9

Answer: 38

Mean, median or mode — which one should you use?

The mean uses every value, so it is the best "typical value" when the data has no extreme outliers — such as average marks in a class. The median is the middle value and is not pulled up or down by a few very large or very small values, which is why reports use median salary or median house price.

The mode is the most frequent value. It is the only average that works for non-numeric data, such as the most popular shoe size or the most common answer in a survey.

Average tricks for aptitude tests

Many exam questions give you an average and ask about a change. Always convert the average back into a total first (total = average × count), make the change to the total, then divide again.

If every number in a set is increased by k, the average also increases by k. If every number is multiplied by k, the average is multiplied by k.

📘 Learn it in your NCERT syllabus

Free chapter notes, flashcards and quizzes on TalentJR CBSE.

🎯 Asked in competitive exams

This topic regularly appears in the quantitative aptitude section of:

  • SSC CGL & CHSL
  • IBPS & SBI PO / Clerk
  • RRB NTPC
  • Campus placement aptitude tests
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Frequently asked questions

How do I calculate the average of numbers?

Add all the numbers and divide the sum by how many numbers there are. The average of 10, 20 and 30 is (10 + 20 + 30) ÷ 3 = 20.

How do I calculate average marks or percentage across subjects?

Add the marks of all subjects and divide by the number of subjects. If every subject has the same maximum marks, this average is also your overall percentage on that scale.

What is the difference between mean and average?

In everyday use, "average" usually means the arithmetic mean. Strictly, median and mode are also types of averages, which is why this calculator shows all three.

What if there is no mode?

If no value appears more than once, the data set has no mode. If two or more values share the highest frequency, the data is bimodal or multimodal and all of them are modes.

Can I paste numbers directly from Excel or Google Sheets?

Yes. Copy a column or row of cells and paste it into the box — new lines and tabs are treated as separators.

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