Answer:
The median/middle is 5 and the minimum is 0 and the maximum is 11. The first quartile is 7/5= 1.4 and the second is 4/2 = 2
Step-by-step explanation:
The five number summary for the data set 0,2,2,4,5,5,5,5,7,11 is as minimum value is 0, maximum value is 11, median is 5, first quartile is 2 and second quartile is 5.
The five number summary for the data set provides the basic information of a data set. This consist of minimum value, maximum value, median, first quartile, and second quartile.
The provided data set is,
0,2,2,4,5,5,5,5,7,11
The data is arranged in the increasing order. The minimum value in this number is 0 while the maximum number is 11.
As the middle value of the data is 5. Thus, the median of this number is,
[tex]m=5[/tex]
The first quartile is the median in the lower half of the data. In this data lower half consist 0,2,2,4,5 which has the median or first quartile as,
[tex]Q_1=2[/tex]
Similarly, the second quartile is,
[tex]Q_1=5[/tex]
Thus, the five number summary for the data set 0,2,2,4,5,5,5,5,7,11 is as minimum value is 0, maximum value is 11, median is 5, first quartile is 2 and second quartile is 5.
Learn more about the five number summary of data set here:
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