Question

The lengths of 40 leaves of a plant are measured, correct to the nearest millimetre and data obtained is represented in the following table : Length in (mm) | Number of leaves 100 – 120 | 8 120 – 140 | 9 140 – 160 | 12 160 – 180 | 5 180 – 200 | 6 Find the median length (in mm) of the leaves.

A class teacher has the following absentees record of 30 students of a class. Number of days | 0 – 4 | 4 – 8 | 8 – 12 | 12 – 16 | 16 – 20 | 20 – 24 Number of Absent students | 1 | 8 | x | 6 | 5 | y If the mean number of days a student was absent is 12, find the values of x and y.

Assertion (A) : Median marks of students in a class test is 16. It means half of the class got marks less than 16. Reason (R) : Median divides the distribution in two equal parts.

The following table shows the ages of patients admitted in a hospital during a particular year : | Age (in years) | 5-15 | 15-25 | 25-35 | 35-45 | 45-55 | 55-65 | |----------------|------|-------|-------|-------|-------|-------| | Number of Patients | 7 | 10 | 21 | 22 | 15 | 5 | Find 'mode' and 'median' of the above data.