The following data gives the placement statistics for a college. The annual salaries of 100 students (in lakhs) are tabulated along with the number of students in each salary bracket. You want to find the salary of a typical student, ignoring the extreme values. Identify the measure of central tendency appropriate for this purpose and calculate it.
Salary Bracket(in lpa)0−55−1010−1515−2020−2525−30No. of students382420963
Median, 7.5 lakhs
Median of a distribution gives the typical value. It is not skewed by extremely small or large values.
ClassFrequencyCumulativeIntervalFrequency0−538385−10246210−15208215−2099120−2569725−303100
N2=50
Therefore, median class is 5-10.
Median=L+N2−c.ff×h=5+50−3824×5=7.5 lpa