STAT-2300 Lecture 4: Constructing Distributions

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Step 1: draw a horizontal line ranging from the smallest data value to the largest data value. Label it with the name of that variable, and mark equally spaced values of the variable on it. Step 2: for each observation, place a dot above its value on the number line. When data values repeat, the dots are placed above one another, forming a vertical pile at that particular numerical location. Step 1: separate ea(cid:272)h o(cid:271)ser(cid:448)atio(cid:374) i(cid:374)to a ste(cid:373), (cid:272)o(cid:374)sisti(cid:374)g of all (cid:271)ut the o(cid:374)e"s pla(cid:272)e digit, a(cid:374)d a leaf, the o(cid:374)e"s pla(cid:272)e digit o(cid:374)ly. This (cid:449)ay, ste(cid:373)s (cid:272)a(cid:374) ha(cid:448)e as (cid:373)a(cid:374)y digits as (cid:374)e(cid:272)essary, (cid:271)ut lea(cid:448)es only have one digit. Step 2: sort the data from smallest to largest. Then write stems in a vertical line, starting with the smallest, and including a stem for each possible value between the minimum and maximum even if no observation occurs for that stem.

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