Question

Ted creates a box plot using 14, 13, 21, 10, 28, 30, and 35 as the data. Which of the following box plots shows the data accurately?
A box plot is drawn with end points at 10 and 35.The box extends from 13 to 30 and a vertical line is drawn inside the box at 21.
A box plot is drawn with end points at 10 and 35.The box extends from 15 to 32 and a vertical line is drawn inside the box at 23.
A box plot is drawn with end points at 10 and 35.The box extends from 11 to 28 and a vertical line is drawn inside the box at 19.
A box plot is drawn with end points at 10 and 35.The box extends from 17 to 34 and a vertical line is drawn inside the box at 25.

Answer 1

A box plot is drawn with end points at 10 and 35.The box extends from 13 to 30 and a vertical line is drawn inside the box at 21.

Answer 2

Answer:

The box plot which shows the data accurately is:

• A box plot is drawn with end points at 10 and 35.The box extends from 13 to 30 and a vertical line is drawn inside the box at 21.

Step-by-step explanation:

It is given that:

Ted creates a box plot using 14, 13, 21, 10, 28, 30, and 35 as the data.

Now, using these data values we have the following data we have the following information:

• Minimum value= 10

• Maximum value= 35

• Also, on arranging the data points in the increasing order we have:

         10 , 13 , 14 , 21 , 28 , 30 , 35

We know that Median of the data is the central tendency of the data and it always exist in the middle of the data set.

Here the Median i.e. Middle quartile i.e. $Q_2$= 21

• Also, the lower set of data is:

                       10 , 13 , 14

We know that the first quartile or lower quartile is the median of the lower set of data.

Hence, First quartile or lower quartile i.e. $Q_1$= 13

• Also, the upper set of data is:

                     28 , 30 , 35

We know that the Third quartile or upper quartile is the median of the upper set of data.

Hence, Third quartile or upper quartile i.e. $Q_3$= 30

The end points of the box plot are the minimum and maximum value of the data set.

The box starts at lower quartile and ends at upper quartile and the vertical line inside the box is at the median.

Hence, we have:

End Points as: 10 and 35

Box starts at:13

and ends at: 30

and the vertical line is at: 21