Find the mode of the following distribution of marks obtained by the students

• Statistics (C10)

Find the mode of the following distribution of marks obtained by the students in an examination:

Given the mean of the above distribution is 53, using empirical relationship estimate the value of its median.

Answer

Mode = 68

So, the mode marks is 68.

Empirical relationship between the three measures of central tendencies is:

3 Median = Mode + 2 Mean

3 Median = 68 + 2 × 53

Median = 58 marks