mean,mode and variance

corelation==>x is independent  y is dependent
Regression==>x is dependent y is independent


  • Normal distributions are symmetricunimodal, and asymptotic, and the meanmedian, and mode are all equal.

mean(xbar) == avg. of numbers/n;
variance(sigma^2)== summation(x-xbar)^2/n;
sd(sigma)==sqrt(varinace)


Another name for the mean of a probability distribution is expected value
  • Adding a constant to each value in a data set does not change the distance between values so the standard deviation remains the same.

  • Three of the most popular methods of estimation are: The method of moments (MM) The method of maximum likelihood (ML) Bayesian method
  • Regression is a data mining technique used to predict a range of numeric values (also called continuous values), 
  • The histogram for the data: 4; 5; 6; 6; 6; 7; 7; 7; 7; 8 is not symmetrical. The right-hand side seems "chopped off" compared to the left side. A distribution of this type is called skewed to the left because it is pulled out to the left.
  • M(t) = [(1 – p) + pet]n.moment generating formula for binomial distribution
  • standrad error::This means that every data value is equal to the mean. This result along with the one above allows us to say that the sample standard deviation of a data set is zero if and only if all of its values are identical.

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