Question

The weight of 15 students are

29,27,35,31,41,37,43,32,34,28,42,36,45,44,30

Find the median.if the weight of 44 kg is replaced by 46kg and 27kg by 25kg,what will be the new median

Answer 1

Arranging the given data in ascending order, we have:

27, 28, 29, 30, 31, 32, 34, 35, 36, 37, 41, 42, 43, 44, 45

Here, the number of observations n is 15(odd).

Since the number of observations is odd, therefore,

Median = Value of n+12th observation = Value of the 8^th observation = 35.

Hence, median = 35 kg.

If 44 kg is replaced by 46 kg and 27 kg by 25 kg, then the new observations arranged in ascending order are:

25, 28, 29, 30, 31, 32, 34, 35, 36, 37, 41, 42, 43, 45, 46

∴ New median = Value of the 8^th observation = 35 kg.