What is a Percentile and how is it calculated?

A percentile is a statistical measure that indicates the value below which a given percentage of observations fall. For example, the 85th percentile is the value below which 85% of the data points lie. It is calculated using the formula: Position = (P/100) × (n + 1) for individual series, where P is the percentile and n is the number of observations.

What is the difference between percentile and percentage?

Percentage represents a part out of 100, while percentile indicates a position in a dataset. For example, scoring 85% means you got 85 out of 100 points. Being at the 85th percentile means you scored better than 85% of the people who took the test.

How to calculate percentile for grouped data?

For continuous/grouped data, use the formula: P = L + ((kN/100 – cf) / f) × h, where L = lower boundary of percentile class, N = total frequency, cf = cumulative frequency before percentile class, f = frequency of percentile class, and h = class width.

What are the most commonly used percentiles?

The most commonly used percentiles are: P25 (First Quartile or Q1), P50 (Median or Second Quartile or Q2), P75 (Third Quartile or Q3), P90 (Ninth Decile), and P95. These are widely used in statistical analysis and data interpretation.

How is percentile useful in real life?

Percentiles are used in: 1) Education (test scores and rankings), 2) Healthcare (growth charts for children), 3) Finance (income distribution analysis), 4) Sports (player performance rankings), 5) Market research (customer segmentation), and 6) Quality control in manufacturing.

What is the difference between percentile, quartile, and decile?

Percentile divides data into 100 equal parts, quartile divides into 4 equal parts (Q1=25th percentile, Q2=50th percentile, Q3=75th percentile), and decile divides into 10 equal parts (D1=10th percentile, D2=20th percentile, etc.). All are measures of position in statistics.

Percentile क्या होता है?

Percentile वह मान है जो आँकड़ों को 100 बराबर भागों में विभाजित करता है। P1 पहला प्रतिशतक और P99 अंतिम प्रतिशतक होता है। P50 माध्यिका (Median) होता है जो डेटा को दो बराबर भागों में बांटता है।

Percentile Calculator कैसे काम करता है?

यह calculator individual, discrete और continuous series के लिए percentile (P1–P99) को सही सूत्रों से step-by-step निकालता है। यूजर डेटा इनपुट करता है, percentile चुनता है, और calculator पूरा solution formula के साथ दिखाता है।

Continuous series के लिए percentile का formula क्या है?

Pk = L + ((kN/100 – cf) / f) × h, जहाँ L = lower class boundary, N = total frequency, cf = cumulative frequency, f = class frequency और h = class width। यह फॉर्मूला continuous डेटा के लिए प्रतिशतक निकालने के काम आता है।

प्रतिशतक की गणना क्यों महत्वपूर्ण है?

प्रतिशतक गणना सांख्यिकीय विश्लेषण, डेटा व्याख्या, परिणामों की तुलना, और निर्णय लेने में मदद करती है। यह शिक्षा, स्वास्थ्य, वित्त, और अनुसंधान के क्षेत्रों में व्यापक रूप से उपयोग की जाती है।

Percentile Calculator Online – Calculate P1 to P99 with Formulas & Steps

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Percentile Calculation Results

P₅₀ (Median): 55.00

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