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1 variance

Definition For a random variable X, if the expected value (or mean) is E[X], then the variance of X, or var(X), or usually denoted as σ2, is E[(X-E[X])2]. Properties var(cX) E[(cX - E[cX])2] c2var(X) If X and Y are independent, then var(X+Y) E[(X+Y-E[X+Y])2] E[(X-E[X])2 + ([Y-E[Y])2] E[(X-E[X])2 + (Y-E[Y])2 + 2(Y-E[Y])(X-E[X])] E[(X-E[X])2] + E[(X-E[X])2] + 2E[(Y-E[Y])(X-E[X])] var(X) + var(Y) + 2E[XY - XE[Y] + YE[X] + E[X]E[Y]] var(X) + var(Y) Similarly, var(X-Y) var(X) + var(Y) if X and Y are independent. Computing Suppose the mean value of all items in vector x is x0, then var(x) σ( x1-x0)2 + x2-x0)2 + + ... + xn-x0)2)/n

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City Data

Tobias village, Nebraska:
Check out what google has to say about Tobias village, Nebraska

Total households 65, total housing units: 77
Land area: 0.261480 square miles, water area 0.000000 miles
Latitude: NORTH 40.418426, longitude: EAST -97.33662 MAP
Population:158, male 78 female 80
Races in Tobias village, Nebraska:

White/Non-Hispanic (98.73%)
Asian (0.63%): Korean(0.63%)
Hispanic (0.63%)

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Webster Unabridged

Bi"as (bī"as), n.; pl. Biases (-&ebreve;z). [F. biasis, perh. fr. LL. bifax two-faced; L. bis + facies face. See Bi-, and cf. Face.] 1. A weight on the side of the ball used in the game of bowls, or a tendency imparted to the ball, which turns it from a straight line.

Being ignorant that there is a concealed bias within the spheroid, which will . . . swerve away.
Sir W. Scott.

2. A leaning of the mind; propensity or prepossession toward an object or view, not leaving the mind indifferent; bent; inclination.

Strong love is a bias upon the thoughts.
South.

Morality influences men's lives, and gives a bias to all their actions.
Locke.

3. A wedge-shaped piece of cloth taken out of a garment (as the waist of a dress) to diminish its circumference.

4. A slant; a diagonal; as, to cut cloth on the bias.

Syn. -- Prepossession; prejudice; partiality; inclination. See Bent.

Bi"as, a. 1. Inclined to one side; swelled on one side. [Obs.] Shak.

2. Cut slanting or diagonally, as cloth.

Bi"as, adv. In a slanting manner; crosswise; obliquely; diagonally; as, to cut cloth bias.

Bi"as, v. t. [imp. & p. p. Biased (bī"ast); p. pr. & vb. n. Biasing.] To incline to one side; to give a particular direction to; to influence; to prejudice; to prepossess.

Me it had not biased in the one direction, nor should it have biased any just critic in the counter direction.
De Quincey.

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