Question

********************WILL GIVE AWAY BRAINLIEST********************

Answer 1

I think the answer is B

Answer 2

Answer:

The correct statement about the data set is:

               Option: B

           (B.)  $Q_3=22$

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. $Q_2$ =20

• Lower set of data is:

            14    16   19    19    20  

    Lower quartile or first quartile i.e. $Q_1$ =19

• Upper set of data is:

               21    21   22   22    23

  Upper quartile or third quartile i.e. $Q_3$ = 22

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

                   i.e.   $IQR=Q_3-Q_1$

                  Hence, IQR=22-19=3

                       Hence, the correct statement is:

                            (B.)  $Q_3=22$