Textbook content produced by OpenStax is licensed under a Creative Commons Attribution License. Use the information below to generate a citation. Then you must include on every digital page view the following attribution: If you are redistributing all or part of this book in a digital format, Then you must include on every physical page the following attribution: If you are redistributing all or part of this book in a print format, If n is even, the median is the average of the numbers in the n 2 and 1+ n 2 positions on this list. You can also copy and paste lines of data from spreadsheets or text documents. Enter data separated by commas or spaces. If n is odd, the median is the number in the 1 + n1 2 place on this list. Calculate basic summary statistics for a sample or population data set including minimum, maximum, range, sum, count, mean, median, mode, standard deviation and variance. Want to cite, share, or modify this book? This book uses the Basic Descriptive Statistics 5 list these in order from smallest to largest. The total number of observations is the sum of N and the number of missing values. N This is the number of valid observations for the variable. Valid N (listwise) This is the number of non-missing values. X = Y u W v X = Y u W v, Y Y, W W are chi-square descriptives write /statistics mean stddev variance min max semean kurtosis skewness. X ~ F d f ( n ), d f ( d ) X ~ F d f ( n ), d f ( d )ĭ f ( n ) = d f ( n ) = degrees of freedom for the numeratorĭ f ( d ) = d f ( d ) = degrees of freedom for the denominatorį ( x ) = Γ ( u + v 2 ) Γ ( u 2 ) Γ ( v 2 ) ( u v ) u 2 x ( u 2 − 1 ) f ( x ) = Γ ( u + v 2 ) Γ ( u 2 ) Γ ( v 2 ) ( u v ) u 2 x ( u 2 − 1 ) X > 0 x > 0, n n = positive integer and degrees of freedom Γ ( m + 1 ) = m ! Γ ( m + 1 ) = m ! for m m, a nonnegative integer P ( X = x ) = ( ( r x ) ( b n − x ) ( r + b n ) ) P ( X = x ) = ( ( r x ) ( b n − x ) ( r + b n ) ) P ( X = x ) = q x − 1 p P ( X = x ) = q x − 1 p, for x = 1, 2, 3. P ( X = x ) = ( n x ) p x q n − x P ( X = x ) = ( n x ) p x q n − x, for x = 0, 1, 2. ( n r ) = n ! ( n − r ) ! r ! ( n r ) = n ! ( n − r ) ! r !
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