Assuming the data has N elements in order of magnitude, the median is found by taking the ((N+1)/2)th element if there are an odd number of elements. If there are an even number of elements, then the median is an average of the (N/2)th and (N/2 + 1)th element.
Continue ReadingTo determine the median of ungrouped data with N elements, one should first order the data from lowest to highest. The median is determined by finding either the middle element in the data or the average of the middle two elements, depending on whether there are an odd or even number of elements in the data.
For example, suppose a set of data has the numbers {4, 8, 7, 10, 100}. First, one would reorder the elements from lowest to highest so that it appears as {4, 7, 8, 10, 100}. There are an odd number of elements in the set; i.e. N=5. Since (5+1)/2 = 3, in this case, the third element in the set is the median, which is 8.
Suppose the ordered data set has a sixth element of 1000, so it now looks like {4, 7, 8, 10, 100, 1000}. In this case, N=6; therefore N/2=3 and N/2 + 1 = 4, so the median is the average of the third and fourth data element. The median is (8 + 10)/2 = 9.
Learn more about AlgebraFind the mean absolute deviation by finding the sum of the absolute value of x minus mu, all divided by N. In this formula, mu is the mean, x is the value of the term and N is the total number of terms.
Full Answer >Examples of distinguishable permutations often include letter order in words, such as the number of ways in which the letters in the word "Mississippi" can be uniquely arranged. Distinguishable permutations are also used for research, such as for diet or vaccination trials.
Full Answer >In order to find the cube of a number, multiply the number by itself three times. A cube is expressed in exponential form as B^3, which is read as B cubed or B raised to the third power. In this exponent, B is known as the base and 3 is the power.
Full Answer >To make a box-and-whisker plot, mark the minimum, first quartile, median, third quartile and maximum of your data set above an evenly spaced number line, and draw boxes from the median to the first and third quartile and whiskers from the first quartile to the minimum and from the third quartile to the maximum. A box-and-whisker plot provides a visual representation or five-number summary of your data. Statistics students often use this type of plot.
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