Formula Hub

The arithmetic mean formula calculates the central average value of a sample dataset by summing all observation values and dividing by the total sample count.

The attendance percentage formula calculates the proportion of classes attended out of total classes conducted. To maintain a required target criteria (such as 75%), bunk guidance calculates maximum skippable lectures $B = \lfloor \frac{N_{\text{attended}} - T \times N_{\text{total}}}{T} \rfloor$, while recovery guidance calculates required consecutive lectures $R = \lceil \frac{T \times N_{\text{total}} - N_{\text{attended}}}{1 - T} \rceil$.

The CGPA to Percentage conversion formula calculates equivalent percentage marks from CGPA scores for CBSE (CGPA × 9.5), AICTE/VTU ((CGPA - 0.75) × 10), and Mumbai University.

Grade Point Average (GPA) standardizes academic performance by weighting earned letter grades against total course credit hours on a standard 4.0 scale.

Fraction arithmetic rules govern addition, subtraction, multiplication, and division of rational numbers by finding common denominators or multiplying numerators and denominators directly.

Grade Point Average (GPA) is a weighted average calculation that measures academic performance by multiplying each course grade point value by its credit weight, summing the total quality points, and dividing by total credit hours attempted.

The Least Common Multiple (LCM) is the smallest positive integer divisible by all numbers in a set, while the Highest Common Factor (HCF or GCD) is the largest integer that divides all numbers without a remainder. For any two positive integers, the product of their LCM and HCF equals the product of the numbers.

Central tendency formulas calculate the arithmetic average (Mean), middle ranking value (Median), most repeated entry (Mode), and total statistical spread (Range) for a numerical dataset.

The median formula finds the central midpoint value of an ordered numerical sequence, separating the top 50% from bottom 50%.

The percentage change formula measures relative growth (increase) or decline (decrease) between an initial value and a final value as a percentage of the original number.