Average कैलकुलेटर — मुफ़्त ऑनलाइन टूल और फॉर्मूला
A descriptive statistics suite computing measures of central tendency, spread, and dataset distributions.
फॉर्मूला और गणना की विधि
The arithmetic mean (x̄) sums all data elements and divides by sample count (n). The median finds the middle value of the sorted sequence, neutralizing extreme outliers. The mode identifies the most frequently recurring elements, and the range describes total dataset dispersion.
वेरिएबल परिभाषाएँ और माप इकाइयाँ
Worked Statistical Summary Example
Consider a classroom quiz dataset containing 7 student scores: [12, 15, 15, 18, 20, 24, 36]:
When to Rely on Median Instead of Mean
While the arithmetic mean is the most common metric, it is vulnerable to distortion from extreme outliers. For instance, in national household income statistics, a tiny handful of billionaires drastically pulls the mean upward.
Economists utilize median household income rather than mean income because the median represents the true middle citizen, unaffected by extreme high or low tail events.
Average कैलकुलेटर से जुड़े अक्सर पूछे जाने वाले प्रश्न
What is the difference between Mean, Median, and Mode?
Mean is the mathematical average (sum divided by count). Median is the middle value when numbers are sorted in order. Mode is the number that appears most frequently in the dataset.
How do I calculate the median of an even number of data points?
When the count is even, take the arithmetic average of the two central numbers. For example, for [10, 20, 30, 40], the middle two numbers are 20 and 30, so the median is (20 + 30) ÷ 2 = 25.
Can a dataset have more than one mode?
Yes. If two values tie for the highest frequency, the dataset is bimodal. If three or more tie, it is multimodal. If no value repeats, there is no mode.
How is a weighted average calculated?
In a weighted average, each value is multiplied by its relative assigned weight (such as course credits in GPA). The products are summed and divided by the sum of all weights.
संबंधित ऑनलाइन कैलकुलेटर
Average कैलकुलेटर के साथ अक्सर संदर्भित अन्य कैलकुलेटर।
प्रतिशत कैलकुलेटर
किसी संख्या का प्रतिशत निकालना, दो संख्याओं के बीच प्रतिशत परिवर्तन (वृद्धि/कमी) और परीक्षा अंकों का प्रतिशत सेकंडों में ज्ञात करें।
Discount कैलकुलेटर
A retail pricing engine calculating net payable price, percentage markdowns, and total customer savings.
साधारण ब्याज कैलकुलेटर
प्रामाणिक सूत्र SI = (P × R × T) / 100 का उपयोग करके किसी भी ऋण या जमा राशि पर साधारण ब्याज और कुल देय राशि की गणना करें।