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[ 8.2, 8.2, 8.3, 8.3, 8.4, 8.4, 8.5, 8.5, 8.5, 8.7, 8.9 ]
The smallest value in the dataset is ( 8.2 ).
The largest value in the dataset is ( 8.9 ).
The median is the middle value of the dataset. Since there are 11 values, the median is the 6th value.
Q2 = 8.4
The first quartile is the median of the lower half of the data (excluding the overall median if the number of data points is odd). This is the median of the first 5 numbers.
Q1 = 8.3
The third quartile is the median of the upper half of the data. This is the median of the last 5 numbers.
Q3 = 8.5
[tex]{\text{Minimum} = 8.2, \, Q1 = 8.3, \, \text{Median} = 8.4, \, Q3 = 8.5, \, \text{Maximum} = 8.9}[/tex]
By comparing the calculated five-number summary with the options provided, we find that the correct box plot is:
plot with minimum value 8.2, lower quartile 8.3, median 8.4, upper quartile 8.5, and maximum value 8.9