Average Calculator

Start with one question: does every score count equally?

Add 68, 74 and 92, then divide the total of 234 by three. The arithmetic mean is 78. That is how to calculate average values when every observation has the same influence. The Arithmetic tab accepts up to 20 numbers and also reports the sum, minimum, maximum, range, median, mode and population standard deviation.

A weighted result answers a different question. If a project worth 40 percent receives 70 and an exam worth 60 percent receives 90, the overall average is 82 rather than the simple mean of 80. Enter scores as values and their percentages or credit hours as weights. The weights need not total 100 for the formula to run, but an omitted assignment will make the course result incomplete.

A grade average is not automatically a GPA

A test average calculator can work directly with numeric scores, but an exam average may need percentage weights. Course hours can also affect a high school grade average. For a college GPA calculator, convert letter grades to your institution's grade points before applying credits. Middle-school and class grading rules vary; this page averages your numbers without applying a school's grading policy.

The center can move when one value is extreme

For 18, 19, 20 and 180, the arithmetic mean is 59.25 but the median is 19.5. Neither calculation is broken. The first uses every value, while the second takes the middle of the sorted list. Reading mean, median and mode together is especially useful for prices, response times and other data where one unusual observation can pull the average away from the typical case.

Geometric mean follows multiplication

The geometric mean is designed for positive growth factors and compounded change. Two periods with factors 1.10 and 1.20 have a geometric mean near 1.1489, equivalent to about 14.89 percent per period. Entering 10 and 20 as plain percentages would answer a different question. The calculation is unavailable when the list contains zero or a negative value.

Rates and time series need their own treatment

Harmonic mean suits positive rates over equal units. Traveling equal distances at 60 mph and 90 mph gives an average speed of 72 mph, not 75. Moving mode keeps the original order: 10, 12, 14, 20 and 24 with a window of three produces 12, 15.33 and 19.33. Sorting a series by size before entering it discards its chronological order.

This math average calculator treats the entered set as the complete population when it reports standard deviation. A sample standard deviation uses a different denominator. Very small values remain visible in scientific notation, and malformed entries such as a number followed by letters are rejected rather than partly read.

Use one number per row. In English, 1.234 is a decimal and 1,234 is a grouped integer. Arithmetic and Moving allow 20 rows; Weighted allows 15. Empty rows are skipped, not treated as missing periods or zeros. Calculations use finite browser precision. An overflowing total or an unrepresentably small weighted product is rejected; displayed rounding does not imply exact decimal arithmetic.