a data set has a maximum of 200, a minimum of 115, a median of 145, an upper quartile of 150, and a lower…

a data set has a maximum of 200, a minimum of 115, a median of 145, an upper quartile of 150, and a lower quartile of 120. which statement is true of the box plot of this data set? the box will go from 145 to 150. a line dividing the box will be at 135. the left whisker will go from 115 to 145. the right whisker will go from 150 to 200.

a data set has a maximum of 200, a minimum of 115, a median of 145, an upper quartile of 150, and a lower quartile of 120. which statement is true of the box plot of this data set? the box will go from 145 to 150. a line dividing the box will be at 135. the left whisker will go from 115 to 145. the right whisker will go from 150 to 200.

Answer

Explanation:

Step1: Recall box - plot components

In a box - plot, the box extends from the lower quartile ($Q_1$) to the upper quartile ($Q_3$). Here, $Q_1 = 120$ and $Q_3=150$, so the box goes from 120 to 150. The line inside the box is at the median, which is 145. The left - hand whisker extends from the minimum value to $Q_1$, and the right - hand whisker extends from $Q_3$ to the maximum value.

Step2: Analyze each option

  • Option 1: The box goes from 120 to 150, not 145 to 150.
  • Option 2: The line dividing the box is at the median, which is 145, not 135.
  • Option 3: The left whisker goes from 115 (minimum) to 120 ($Q_1$), not 115 to 145.
  • Option 4: The right whisker goes from 150 ($Q_3$) to 200 (maximum).

Answer:

The right whisker will go from 150 to 200.