Answer:
Median = 7
Median of lower half = 6
Median of upper half = 10
Explanation:
Median is the middle number of a set of data after rearrangement. Rearrangement can either be ascending or descending order.
Given the data:
5, 8, 10, 1, 7, 6, 15, 8, 6
On arranging in ascending order
(1,5,6,6),7,(8,8,10,15)
It can be seen that the number at the middle is 7.
Median = 7
To get the median of the lower half of the data, we will locate the (N/4)th value of the data
N = sum of all the datas
N = 66
We need to locate the (66/4)th number i.e 16.5th number
The median of the lower half will be 6 (when summing the numbers, 16.5falls on the 4th value which us 6)
Median of upper half is gotten by locating (3N/4)th value
3×66/4
= 49.5th value
On cumulating, the 49.5th value falls on the number 10.
The median of upper half = 10