ACMS30440 Lecture Notes - Lecture 2: Skewness, Histogram, Box Plot

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We will examine the mean, median, variance, and other descriptors of data. Throughout we will distinguish between descriptors for sample data (i. e. , for an actual dataset) and descriptors for the distribution of a variable . The mean of a set of quantitative data is the sum of the measurements, divided by the number of measurements in the dataset. We denote the mean of a sample by , and it is computed using . The sample mean is often used to make inferences about the population mean. The sample median is another measure of central tendency. It is the middle number when the measurements are arranged in order from least to greatest (or greatest to least). To calculate the median, denoted by : arrange the measurements from least to greatest. If is even, is the mean of the middle two numbers. Example: compute the sample mean and median for our births data.