The following table gives the marks obtained by $300$ students of a management course. Find the median of the distribution. Marks obtained No. of Students $0-15$ $26$ $15-30$ $34$ $30-45$ $64$ $45-60$ $76$ $60-75$ $60$ $75-90$ $30$ $90-100$ $10$

The total number of students is 300, so the median class corresponds to the value where the cumulative frequency reaches 150, which falls in the 45 to 60 marks class. Using the median formula, Median equals Lower Limit plus Bracket Cumulative Frequency before median class divided by 2 minus Frequency of median class End Bracket multiplied by Class Width divided by Frequency of median class. Substituting the values gives 45 plus the fraction 150 minus 124 over 76, multiplied by 15, resulting in 45 plus 5.13, which equals 50.13 marks.

• Thanks
• Wrong explanation