STAT 111 Lecture Notes - Lecture 4: Interquartile Range, Standard Deviation, Minimax

• School: University of Vermont
• Department: Statistics
• Course: STAT 111
• Professor: Jacob William Martin

Document Summary

Section 2. 2 one quantitative variable: shape and center. Shape: symmetric, skewed (left-skewed or right-skewed, determine which direction it is skewed by looking at the length of the tail, bell-shaped, single peaked, roughly symmetric. Notation: n the number of values in the sample, mean, (x-bar, mean of a sample, bar symbolizes average, (cid:894)(cid:373)u, (cid:862)(cid:373)ew(cid:863)(cid:895, mean of a population, median, m. Mean: average of data values, balance point. Mean = (cid:3048)(cid:3040) (cid:3042)(cid:3033) (cid:3028)(cid:3039)(cid:3039) (cid:3031)(cid:3028)(cid:3047)(cid:3028) (cid:3049)(cid:3028)(cid:3039)(cid:3048)(cid:3032)(cid:3046) (cid:3048)(cid:3040)(cid:3029)(cid:3032)(cid:3045) (cid:3042)(cid:3033) (cid:3031)(cid:3028)(cid:3047)(cid:3028) (cid:3049)(cid:3028)(cid:3039)(cid:3048)(cid:3032)(cid:3046) Median: middle value when data are ordered. If there are any even numbers or values, the median is the average of the 2 middle values: splits data in half. Skewed to the right: mean is skewed to the right of the median, mean will be bigger than the median. Skewed to the left: mean is skewed to the left of the median, mean will be smaller than the median.