Answer:
Step-by-step explanation:
The inter quartile range is expressed as
Third quartile - first quartile
First quartile is the 25% mark
Third quartile is the 75% mark
The given set of data is expressed as
25, 30, 50, 50, 50, 50, 56, n, 250
total number of sample = 9
Median = 50
The median separates the data into two equal halves, the lower and the upper halve.
The middle of the lower halve is the first quartile, Q1
The middle of the second halve is the third quartile, Q3
Therefore,
Q1 = (30 + 50)/2 = 40
Q3 = (56 + n)/2
For the IQR of the data set to be equal to 27, it means that
(56 + n)/2 - 40 = 27
(56 + n)/2 = 27 + 40 = 67
56 + n = 2 × 67 = 134
n = 134 - 56
n = 78
