1.Which of the following are measures of central tendency? Check all that apply. A.The median B.A sample statistic C.The mode D.The lowest value E. The mean A measure of central tendency is a single value that identifies the center of a distribution. The various measures of central tendency are based on different concepts of the center. Defining the middle of a distribution as where the scores are divided into two equal-sized groups is the basis for the _________ . Explanation: The three standard measures of central tendency each rely on a different concept of the center of a distribution: for the mean, the arithmetic average of the scores; for the median, the midpoint of the ordered scores; and for the mode, the score with the greatest frequency.3. The mode is ____________________. Explanation: The mean is the arithmetic average of the scores, the median is the midpoint of the ordered scores, and the mode is the score with the greatest frequency. Note that a distribution has only one mean and only one median, but it is possible to have more than one mode. 4. What is the notation for the mean? A. M for both the sample mean and the population mean B. There is no symbol for the mean C. M for the sample mean and μ for the population mean D. μ for both the sample mean and the population mean Explanation: There is no symbol (notation) for the median or the mode. The population median and the sample median are each identified by the word "median"; the population mode and the sample mode are each identified by the word "mode." The mean, on the other hand, is identified by the Greek letter μ if the mean is for a population and by the Roman letter M if the mean is for a sample. It is standard practice to use Greek letters for population parameters and Roman letters for sample statistics.