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?\nthe box will go from 145 to 150.\na line dividing the box will be at 135.\nthe left whisker will go from 115 to 145.\nthe 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?\nthe box will go from 145 to 150.\na line dividing the box will be at 135.\nthe left whisker will go from 115 to 145.\nthe 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 ($Q_3$), the line inside the box is the median, the left whisker goes from the minimum value to $Q_1$, and the right whisker goes from $Q_3$ to the maximum value. Given minimum = 115, $Q_1$ = 120, median = 145, $Q_3$ = 150, maximum = 200.

Step2: Analyze each option

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

Answer:

The right whisker will go from 150 to 200.