Question

During the medical check-up of 35 students of a class, their weights were recorded as follows :
Weight (in kg) Number of students
Less than 38 0
Less than 40 3
Less than 42 5
Less than 44 9
Less than 46 14
Less than 48 28
Less than 50 32
Less than 52 35
Draw a less than type ogive for the given data. Hence obtain the median weight from the graph and verify the result by using the formula.

Answer 1

Answer:

46.5 kg is median

Step-by-step explanation:

Weight (in kg) Number of students   Frequency    More than CF

Less than 38             0                         0                         35

Less than 40             3                          3                        32

Less than 42             5                          2                         30

Less than 44             9                          4                         26

Less than 46             14                          5                        21

Less than 48             28                          14                         7

Less than 50             32                          4                         3

Less than 52             35                         3                         0

46.5 kg is median

Estimated median =  46 + ((35/2) - 14) * 2 /14

= 46 + 0.5

= 46.5 kg