STAT 2507 Lecture Notes - Lecture 2: Standard Deviation, Interquartile Range, Squared Deviations From The Mean
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Definition: numerical measures obtained from a population are called parameters, whereas numerical measures obtained from a sample are called statistics. There are three common measures of centre; mean, median, and mode. The arithmetic mean or average of a finite population of size n observations, x is denoted and can be calculated as follows. The arithmetic mean or average of a sample of size n observations, x. The sample mean is usually used as an estimate for the population mean . You can think of the mean as the balancing point or fulcrum of a set of measurements. The median of a set of measurements n is the value of x that falls in the middle position when the measurements are arranged from smallest to largest. The position of the median is, therefore, 0. 5(n+1). The mode of a set of measurements is the measurement that have the highest frequency.