In mathematics, an average is a measure of the "middle" or "typical" value of a data set. It is thus a measure of central tendency.
In the most common case, the data set is a list of numbers. The average of a list of numbers is a single number intended to typify the numbers in the list. If all the numbers in the list are the same, then this number should be used. If the numbers are not the same, the average is calculated by combining the numbers from the list in a specific way and computing a single number as being the average of the list.
Many different descriptive statistics can be chosen as a measure of the central tendency of the data items. These include the arithmetic mean, the median, and the mode. Other statistics, such as the standard deviation and the range, are called measures of spread and describe how spread out the data is.
The most common statistic is the arithmetic mean, but depending on the nature of the data other types of central tendency may be more appropriate. For example, the median is used most often when the distribution of the values is skewed with a small number of very high or low values, as seen with house prices or incomes. It is also used when extreme values are likely to be anomalous or less reliable than the other values (e.g. as a result of measurement error), because the median takes less account of extreme values than the mean does.
Other articles related to "average, averages":
... generally occur during December-early March with an average temperature of 9 °C (48.2 °F) for elevations between 500–600 metres (1,640–1,969 ft) ... On the Plateau the average precipitation is 1,000 millimetres (39 in) with a range of about 800–1,300 millimetres (31.5–51.2 in) ... foothills (both north and south of the Alps) typically have more precipitation, with an average of 1,200–1,600 millimetres (47.2–63.0 in), while the high Alps may have over 2,500 millimetres (9 ...
... Temperatures vary little throughout the months, with average high temperatures of 80–90 °F (27–32 °C) and average lows of 65–75 °F (18–24 °C) throughout the year ... Waters off the coast of Honolulu average 81 °F (27 °C) in the summer months and 77 °F (25 °C) in the winter months ... Annual average rain is 21.1 in (540 mm), which mainly occurs during the winter months of October through early April, with very little rainfall during the summer ...
... The daily average high and low temperatures for P'yongyang in January are −3 and −13 °C (27 and 9 °F) ... On average, it snows thirty-seven days during the winter ... The daily average high and low temperatures for Pyongyang in August are 29 and 20 °C (84 and 68 °F) ...
... stands at 35.1c (95.2f) recorded in August 2003, though in a more average year the warmest day will only reach 29.4c (84.9f), with 13.8 days in total ... All averages refer to the 30 year observation period 1971-2000. 90.3) 33.5 (92.3) 35.1 (95.2) 29.0 (84.2) 25.0 (77.0) 17.8 (64.0) 16.4 (61.5) 35.1 (95.2) Average high °C (°F) 6.5 (43.7) 7.1 (44.8) 10.0 (50.0) 12.2 (54.0) 15.9 (60.6) 18.7 (65.7) 21.5 (70.7) 21.8 (71.2 ...
57 5.2 64 ... 5.8 70 ... 5.4 73 ... 5.7 72 ... 4.5 68 ... 3.6 57 ... 4.8 48 ... 5.2 43 ... Average max. 23 ... 22 ... 20 ... 14 ... 9 ... 6 ... Average max. 72 ... 5.1 74 ... 4.9 74 ... 70 ... 3.9 61 ... 4.6 52 ... 4.6 46 ... Average max ...
Famous quotes containing the word average:
“Three million of such stones would be needed before the work was done. Three million stones of an average weight of 5,000 pounds, every stone cut precisely to fit into its destined place in the great pyramid. From the quarries they pulled the stones across the desert to the banks of the Nile. Never in the history of the world had so great a task been performed. Their faith gave them strength, and their joy gave them song.”
—William Faulkner (18971962)
“But the whim we have of happiness is somewhat thus. By certain valuations, and averages, of our own striking, we come upon some sort of average terrestrial lot; this we fancy belongs to us by nature, and of indefeasible rights. It is simple payment of our wages, of our deserts; requires neither thanks nor complaint.... Foolish soul! What act of legislature was there that thou shouldst be happy? A little while ago thou hadst no right to be at all.”
—Thomas Carlyle (17951881)
“A fairly bright boy is far more intelligent and far better company than the average adult.”
—J.B.S. (John Burdon Sanderson)