Which modified box plot represents the data set?
10,12,2,4,24,2,7,7,9
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Answer with explanation:
The Data Set is→ 10,12,2,4,24,2,7,7,9
Arranging the data in ascending order
2,2,4, 7,7,9,10, 12, 24
Number of observation is odd,
So, Median
[tex]\frac{9+1}{2}=5^{th} Observation[/tex]
5th Observation = 7
[tex]Q_{1}[/tex]
=First Quartile of data set that is from first variate to Median value
={2,2,4,7,7}
So, [tex]Q_{1}=4[/tex]
[tex]Q_{3}[/tex]
=Third Quartile of data set that is from last variate to Median value
={7,9,10,12,24}
So, [tex]Q_{3}=10[/tex]
Minimum value in data set = 2
Maximum value in data set = 24
Plotting the Box plot
Option C , is correct Box plot.