The upper quartile is shown incorrectly in the box plot. So, the third option is correct.
It is given that,
- Data values are: 93, 83, 74, 74, 83, 92, 93, 94, 90, 87, 83, 86.
- Box plot has a minimum value equal to 74, lower quartile equal to 83, median equal to 86.5, upper quartile equal to 89, and a maximum value equal to 94.
Explanation:
Arrange the data values in ascending order.
74, 74, 83, 83, 83, 86, 87, 90, 92, 93, 93, 94
Divide the data in 4 equal parts.
(74, 74, 83), (83, 83, 86), (87, 90, 92), (93, 93, 94)
Now,
Minimum value: 74
First quartile: [tex]\dfrac{83+83}{2}=83[/tex]
Median: [tex]\dfrac{86+87}{2}=86.5[/tex]
Third quartile: [tex]\dfrac{92+93}{2}=92.5[/tex]
Maximum value: 94
The value of the upper quartile in the box plot is 89 which is not equal to 92.5. Thus, the third option is correct.
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