sebastianbowler
sebastianbowler sebastianbowler
  • 02-10-2018
  • Mathematics
contestada

what is the range of the middle 50% of data
a. 2
b. 3
c. 6.5
d. 8

what is the range of the middle 50 of data a 2 b 3 c 65 d 8 class=

Respuesta :

Sicista Sicista
  • 02-10-2018

The correct option is:   b. 3

Explanation

Middle 50% data means the "Interquartile Range" which is measured as the difference between the third quartile[tex](Q_{3})[/tex] and the first quartile[tex](Q_{1})[/tex] in a data set.

In the given box plot, we can see that:    [tex]Q_{1}= 4[/tex] and [tex]Q_{3}= 7[/tex]

So, the Interquartile range, [tex]IQR= Q_{3}-Q_{1} = 7-4= 3[/tex]

Thus, the range of the middle 50% of data will be 3.

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