### Mathematics Class X

Real Numbers
Polynomials
Arithmetic Progressions
Triangles
Coordinate Geometry
Introduction to Trigonometry
Circles
Constructions
Areas Related to Circles
Surface Areas and Volumes
Statistics
Probability

# Median of Grouped Data

To find the median of a grouped data, we need to find the cumulative frequency and Then we have to find the median class, which is the class of the cumulative frequency near or greater than the value of .

Cumulative Frequency is calculated by adding the frequencies of all the classes preceding the given class.

Then substitute the values in the formula

Median where l = lower limit of median class

n = no. of observations

cf = cumulative frequency of the class preceding to the median class

f = frequency of the median class

h = size of class

Example

Find the median of the given table.

Solution , so The median class is 11 – 15 as its cumulative frequency is 13 which is greater than 10.

Median   The empirical relation between the three measures of central tendency is 3 Median = Mode + 2 Mean

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