PSCI 2024 Lecture 7: PSCI 2024- 2:16:17 Class

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Appropriate measures of dispersion: nominal: variation ratio, ordinal: range, interquartile (iqr, interval/ratio: standard deviation, lower level descriptive statistics can always be used for higher level variables, variation ratio can be used for higher levels. Dispersion: range: can use for ordinal level variables or interval, range= largest value-smallest value, hours spent studying last week: 13,13,13,13,14,14,16,18,21, range would be 8, sometimes it is more useful to report 13-21. This is denoted by q2: find the median for the first 50 percent of the data set. Do not include the median in this calculation. Q1: find the median for the second 50 percent of the data set. This is denoted by q3: iqr= q1-q3 (or q3-q1) Dispersion interquartile range example: hours spent studying last week:13,13,13,13,14,14,16,18,21, median (q2) is 14, q1=13, do(cid:374) t i(cid:374)(cid:272)lude the real (cid:373)edia(cid:374) i(cid:374) the (cid:272)al(cid:272)ulatio(cid:374, q3=17, 13-17 or 4.

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