The following are characteristics of the normal curve except for three. Determine which of the following are not characteristics of the normal curve: I. The mode and median occur at μ. II. The curve is symmetric about the vertical axis through the mean, μ. III. The normal curve is asymptotic to the vertical axis on both sides. IV. The total area under the curve, above the vertical axis is equal to 1. V. The probability that he normal random variable is equal to a specific discrete value is always zero, since the normal random variable is continuous. VI. The probability that the normal random variable is between two values is given by the area under the curve between the two given values and the vertical axis.
A. I, II, VI
B. III, IV, VI
C. I, II, V
D. II, IV, VI
Definition Definition Middle value of a data set. The median divides a data set into two halves, and it also called the 50th percentile. The median is much less affected by outliers and skewed data than the mean. If the number of elements in a dataset is odd, then the middlemost element of the data arranged in ascending or descending order is the median. If the number of elements in the dataset is even, the average of the two central elements of the arranged data is the median of the set. For example, if a dataset has five items—12, 13, 21, 27, 31—the median is the third item in ascending order, or 21. If a dataset has six items—12, 13, 21, 27, 31, 33—the median is the average of the third (21) and fourth (27) items. It is calculated as follows: (21 + 27) / 2 = 24.
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