Question

The weights (in kg) of 15 students are: 31, 35, 27, 29, 32, 43, 37, 41, 34, 28, 36, 44, 45, 42, 30. Find the median. If the weight 44 kg is replaced by 46 kg and 27 kg by 25 kg, find the new median.

Answer 1

Answer:

35 in both cases.................

Answer 2

Answer:

35kg. No change

Step-by-step explanation:

Arrange in increasing order -  27, 28, 29,30,31,32,34,35,36,37,41,42,43,44,45

Median = (n+1) /2 = 8th observation

8th observation = 35kg

When 44 kg is replaced by 46 kg and 27 kg by 25 kg,

Median = (n+1) /2 = 8th observation

8th observation = 35kg

i.e Median does not change