what is the interquartile range (iqr)?
what is the interquartile range (iqr)?
Answer
Explanation:
Step1: Arrange data in order
The data set is (58,60,61,62,63,64,65,66).
Step2: Find median (Q2)
There are 8 data - points. The median is the average of the 4th and 5th ordered values. (Q2=\frac{62 + 63}{2}=62.5).
Step3: Find lower half and Q1
The lower half is (58,60,61,62). The median of the lower half (Q1) is (\frac{60+61}{2}=60.5).
Step4: Find upper half and Q3
The upper half is (63,64,65,66). The median of the upper half (Q3) is (\frac{64 + 65}{2}=64.5).
Step5: Calculate IQR
(IQR=Q3 - Q1=64.5-60.5 = 4).
Answer:
4