Mathematics
Grade6
Easy
Question
Find the larger IQR.
- Zach
- Steven
- They have the same IQR
- Cannot say
Hint:
The interquartile range (IQR) is the difference between the upper quartile (Q3) and the lower quartile (Q1). So, IQR = Q3 - Q1.
The correct answer is: Steven
Step 1 of 1:
The above diagram is of a boxplot, mentioning Q3 (third quartile) and Q1 (first quartile).
In the given diagram,
(For Zach)
observe that, Q3 = 1.25 and Q1 = 0.75
So, the IQR is Q3 - Q1 = 1.25 – 0.75 = 0.5
(For Steven)
observe that, Q3 = 2 and Q1 = 1
So, the IQR is Q3 - Q1 = 2 – 1 = 1
Since, 0.5 < 1 implies that Zach < Steven.
So, Steven has a larger IQR.
Final Answer:
The right choice is-- b. Steven
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