ENGR 100 Lecture Notes - Lecture 30: Confidence Interval, Standard Deviation, Central Limit Theorem

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When observations can be ordered by value, distribution can be described by. Partitioning observations into groups of equal number. Then listing the values that separate the groups. The median values separates the distribution into two groups of equal numbers. Divides observations into 4 groups of equal numbers. Lower quartile (lq) is value that divides lowest quarter of observations from higher ones. Upper quartile (uq) is value that divides top quarter from lower values. Interquartile range, iqr, is the range of values between lq and. Divide an ordered set of observations into 10 groups of equal number. First lower decile (ld), which divides lowest 10% of observations from the rest. Ninth or upper decile (ud), which divides highest 10% of the observations from the rest. The interdecile and semi-interdecile ranges are defined from these two values. Percentiles divide the observations into 100 groups. In early 1800"s, gauss developed normal (gaussian) distribution. As model for errors in astronomical observations.

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