RD Chapter 24 Measures of Central Tendency Ex 24.3 Solutions
Question - 11 : - Find the median of the following data: 41, 43, 127, 99, 61, 92, 71, 58, 57 If 58 is replaced by 85, what will be the new median
Answer - 11 : -
The given data is 41, 43, 127, 99, 61, 92, 71, 58 and 57.
Arranging the given data in ascending order, we have
41, 43, 57, 58, 61, 71, 92, 99, 127
Here, the number of observation 
, which is an odd number. Hence, the median is
If 58 is replaced by 85, then the given data become 41, 43, 127, 99, 61, 92, 71, 85 and 57.
Arranging the new data in ascending order, we have
41, 43, 57, 61, 71, 85, 92, 99, 127
Here, the number of observation , which is an odd number.
Hence, the new median is
Answer - 12 : -
The weights (in kg) of 15 students are 31, 35, 27, 29, 32, 43, 37, 41, 34, 28, 36, 44, 45, 42 and 30.
Arranging them in ascending order, we have
27, 28, 29, 30, 31, 32, 34, 35, 36, 37, 41, 42, 43, 44, 45
Here, the number of observation 
, which is an odd number. Hence, the median is
If the weights 44kg and 27kg are replaced by 46kg and 25kg respectively, then the given data becomes 31, 35, 25, 29, 32, 43, 37, 41, 34, 28, 36, 46, 45, 42 and 30.
Arranging the new data in ascending order, we have
25, 28, 29, 30, 31, 32, 34, 35, 36, 37, 41, 42, 43, 45, 46
Here, the number of observation , which is an odd number. Hence, the new median is
The following observations have been arranged in ascending order. If the median of the data is 63, find the value of x:
23, 32, 48, 50, x, x+2, 72, 78, 84, 95
Answer - 13 : -
The given data in ascending order is
29, 32, 48, 50, x, x+2, 72, 78, 84, 95
Here, the number of observation 
, which is an even number. Hence, the median is
But, it is given that the median is 63. Hence, we have