Question

What is the first quartile of the data displayed in this box-and-whisker plot? A)49 B)41 C)37 D)35

Answer 1

C. 37
It is the lower quartile marked on the box-and-whisker plot and is the median of all data below the median

Answer 2

The correct option is C. The first quartile of the data displayed in this box-and-whisker plot is 37.

Explanation:

In a box plot,

Point 1: Left end point of the line represents the minimum value of the data set.

Point 2: Left side of the box represent first quartile (Q₁) of the data set.

Point 3: Line inside the box represents Median of the data set.

Point 4: Right side of the box represent third quartile (Q₃) of the data set.

Point 5: Right end point of the line represents the maximum value of the data set.

From the given box-and-whisker plot it is clear that left side of the box is at 37, So, the first quartile of the data displayed in this box-and-whisker plot is 37.

`Q_1=37`

Therefore correct option is C.