The following data has been arranged in ascending order : 12,14,17,20,22,x,26,28,32,36. If the median of the data is 23, find x . In the above data is 32 is replaced with 23 , find the new median.
Answers
Answered by
9
Answer:
In the original data, x = 24
The median in the sequence = 22.5
Step-by-step explanation:
Finding x:
12,14,17,20,22,x,26,28,32,36
10 numbers, so the median is the 5th + 6th number divided by 2
(22 + x) / 2 = 23
22 + x = 46
x = 24
Finding the median of the new sequence:
New sequence = 12,14,17,20,22,23,23,26,28,36
10 numbers, so the median is the 5th + 6th number divided by 2
(22 + 23) / 2 = median
45 / 2 = 22.5
The median in the new sequence is 22.5
Similar questions