Median

Median is one of the measures of central tendency. A number or a quantity which is representative of a set of data is called central tendency. There are three measures of central tendency: Mean, Median, and Mode. Median class is the class interval where the cumulative frequency is nearest (and greater) to the value of n/2. To make cumulative frequency distribution table of more than type we use lower limits of class intervals and cumulative frequency in decreasing order. To make cumulative frequency distribution of less than type, we use upper limits of class intervals and cumulative frequency in increasing order. The empirical relationship of median with other two measures of central tendencies can be written as: 3 Median = Mode + 2 Mean We use the following formula for calculating the median of grouped data: Median = l + h[{(n/2) –cf}/f] Where, l = lower limit of median class n = number of observations cf = cumulative frequency of class preceding the median class f = frequency of median class h = class size Class size: Difference of upper class and lower class of a class interval is called class size or difference between two consecutive class marks is called class size. Keyword: Median Class

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