What is the difference between Mean and Median?

The mean is the mathematical average of all numbers and is sensitive to extreme outliers. The median is the true middle value when numbers are sorted in order, making it much more resilient against extreme skew or outliers.

Can a dataset have more than one mode?

Yes. If two values share the highest frequency, the dataset is bimodal. If three or more tie, it is multimodal. If every value appears only once, there is no mode.

What is the Interquartile Range (IQR)?

The IQR is the difference between the third quartile (Q3, 75th percentile) and the first quartile (Q1, 25th percentile): IQR = Q3 - Q1. It represents the middle 50% spread of the data.

Math

↵ to calculate

Mean, Median, Mode, Range Calculator — Complete Statistics Summary

Free online statistics calculator to find the mean, median, mode, range, standard deviation, variance, and quartiles for any dataset with step-by-step math.

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How to use this calculator

👉 Fill in the boxes below and your answer appears instantly — no maths needed, we do it all for you! 🎉

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In plain English — what does this do?

🔢 This tool does the maths for you! Just type in your numbers, and it gives you the answer right away. No need to count on your fingers or use a pen and paper.

📌 Direct Answer & Summary

The Mean, Median, Mode, Range Calculator computes the fundamental descriptive statistics of a dataset, including central tendency (arithmetic mean, median, mode), spread (range, variance, standard deviation), and quartiles.

📊 Dataset (Numbers separated by commas or spaces)

Accepts positive and negative decimals or integers

Presets:

What is Mean, Median, Mode, Range Calculator — Complete Statistics Summary?

How to use it

1️⃣ Paste or type your numbers separated by commas, spaces, or line breaks.
2️⃣ Review the calculated Mean (average), Median (middle value), Mode (most common value), and Range.
3️⃣ Inspect the extended statistical measures including standard deviation, variance, sum, and IQR.
4️⃣ Examine the sorted ascending dataset and step-by-step mathematical working.

Formula

Mean = (∑ xᵢ) / n. Median = middle value of sorted set. Mode = value(s) with highest frequency. Range = Max - Min.

💡 See it in action — a real example

For the dataset {10, 2, 38, 23, 38, 23, 21}: Sorted: {2, 10, 21, 23, 23, 38, 38}. Mean = 155 / 7 ≈ 22.14. Median = 23. Mode = 23 and 38 (Bimodal). Range = 38 - 2 = 36.

❓ Common questions

What is the difference between Mean and Median?: The mean is the mathematical average of all numbers and is sensitive to extreme outliers. The median is the true middle value when numbers are sorted in order, making it much more resilient against extreme skew or outliers.
Can a dataset have more than one mode?: Yes. If two values share the highest frequency, the dataset is bimodal. If three or more tie, it is multimodal. If every value appears only once, there is no mode.
What is the Interquartile Range (IQR)?: The IQR is the difference between the third quartile (Q3, 75th percentile) and the first quartile (Q1, 25th percentile): IQR = Q3 - Q1. It represents the middle 50% spread of the data.