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Important Formulas Chapters 1 and 2 class width = range of data number of classes Formula for the midpoint: lower class lim it midpo int weighted mean: x w x w upper class lim it 2 mean for individual data: x x x n N mean for grouped data: xm f x n Formulas for the variance: Range: 2 Formula for the 2 x s N lowest value x x 2 2 R = highest value – n 1 Formulas for the standard deviation: 2 x s N x x 2 n 1 Formula for the variance for grouped data: s x 2 x f n 1 Formula for the z score (standard score): x z z x x s