Answer:
C. 7 - 3 = 4
Step-by-step explanation:
Given
[tex]Dataset: 3, 3, 4, 5, 6, 7, 10[/tex]
Required
The IQR
The IQR is calculated using:
[tex]IQR = Q_3 - Q_1[/tex]
Where:
[tex]Q_3 \to[/tex] Median of the upper [tex]half[/tex]
[tex]Q_1 \to[/tex] Median of the lower [tex]half[/tex]
The dataset has 7 values, so the median is: (7 + 1)/2 =8/2 = 4th position.
Split to two, we have:
[tex]Lower \to 3, 3, 4[/tex]
[tex]Median \to 5[/tex]
[tex]Upper \to 6, 7, 10[/tex]
The lower half has 3 data; So, the median is the 2nd position.
Hence:
[tex]Q_1 = 3[/tex]
The upper half has 3 data; So, the median is the 2nd position.
Hence:
[tex]Q_3 = 7[/tex]
So, the IQR is:
[tex]IQR = Q_3 - Q_1[/tex]
[tex]IQR = 7 - 3[/tex]
[tex]IQR = 4[/tex]
