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********************WILL GIVE AWAY BRAINLIEST********************
A student counted the number of times her teacher said word like during her class over an 11- day period [likes per class period] 22,19,16,19,23,20,20,21,22,21,14 construct a box plot to represent the data, and determine which of the following is correct about the data set
(A).Q1=13
(B).Q3=22
(C).The interquartile range is 9
(D).The Median is 21

Respuesta :

oyebolatoba
i think the answer is B

Answer:

The correct statement about the data set is:

               Option: B

           (B.)  [tex]Q_3=22[/tex]

Step-by-step explanation:

On arranging the given data points in the increasing order we have:

14    16    19    19    20    20    21    21    22    22    23

  • Minimum value of the data set=14
  • Maximum value of data set=23
  • Median or Middle quartile of data set i.e. [tex]Q_2[/tex] =20
  • Lower set of data is:

            14    16   19    19    20  

    Lower quartile or first quartile i.e. [tex]Q_1[/tex] =19

  • Upper set of data is:

               21    21   22   22    23

  Upper quartile or third quartile i.e. [tex]Q_3[/tex] = 22

  • Interquartile range(IQR)  is calculated as the difference between the upper and the lower quartile.

                   i.e.   [tex]IQR=Q_3-Q_1[/tex]

                  Hence, IQR=22-19=3

                       Hence, the correct statement is:

                            (B.)  [tex]Q_3=22[/tex]

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