See mean.
See mean.
For a set of positive observations x1, x2,…, xn, the geometric mean, g, is given by
A type of mean value that is the average value of a set of n numbers, and calculated by multiplying them together, and extracting the nth root of the product. For example, the geometric mean of 10, 20, and 40 is and is less than the arithmetic mean, which is (10 + 20 + 40)/3 = 23.33.
The geometric mean G of n numbers (x1,…,xn) is defined by
The value of the geometric mean is always greater than that of the harmonic mean but less than the arithmetic mean. The geometric mean is used to compute average growth rates. For example, if an economy grows 5 per cent in year 1 and 3 per cent in year 2 then the geometric mean growth rate is G = (1.05 × 1.03)1/2 = 1.039952.
- Hilbert, David
- Hilbert, David (1862–1943)
- Hilbert space
- Hilbert-style calculus
- Hilbert’s basis theorem
- Hilbert’s paradox
- Hilbert’s programme
- Hilbert’s tenth problem
- Hilda group
- Hildebrand rule
- Hill, Archibald Vivian
- hill climbing
- hill-climbing
- Hiller borer
- Hiller peat-borer
- hill farming
- hill fog
- hill fort
- Hill, George William (1838–1914)
- Hillier, James
- Hill plot
- Hill reaction
- Hill, Sir Austin ‘Tony’ Bradford (1897–1991)
- Hill, Sir Rowland (1795–1879)
- hillslope