STAT 3615 Lecture Notes - Lecture 5: Central Tendency, Box Plot, Interquartile Range
Document Summary
Information: appropriate measures of center and spread depend upon the distributions shape, when interpreting a histogram, we focused on shape, center, and spread. Measure of center: median: median middle value, halfway point, or the value exceeded by half the readings. If the sample size, n, is odd, the median is the middle-ordered data value. Comparing mean and median: the mean and median of data from a symmetric distribution should be close together, the mean and median of a perfectly symmetric distribution are the same. Locating quartiles: when n is even, split the data set in half and find the median of the lower and upper halves to find quartiles, when n is odd, the median itself splits the data. Do not include it when finding the medians of the lower and upper halves to find the quartiles. Five number summary: this summary displays the distribution of the data using specific values, minimum, q1, median, q3, maximum.
