Question

interpret box plot
question
the box-and-whisker plot below represents some data set. what is the value of the lower quartile?
(box-and-whisker plot image with number line from 0 to 100)
answer

Explanation:

Step1: Recall Box Plot Components

A box - and - whisker plot has a box where the left end of the box represents the lower quartile (Q1), the middle line of the box represents the median (Q2), and the right end of the box represents the upper quartile (Q3). The whiskers extend from the box to the minimum and maximum values.

Step2: Identify Lower Quartile from Plot

Looking at the given box - and - whisker plot, the left end of the box is at the value of 50? Wait, no, wait. Wait, the scale is from 0 to 100. Wait, the left end of the box is at 50? Wait, no, let's look again. Wait, the box starts at 50? Wait, no, the first vertical line of the box (the left side of the box) is at 50? Wait, no, the x - axis has marks at 0,10,20,30,40,50,60,70,80,90,100. The left end of the box (the lower quartile) is at 50? Wait, no, wait the box is drawn from 50 to, let's see, the first part of the box is from 50 to 80? Wait, no, the left side of the box is at 50. Wait, no, maybe I made a mistake. Wait, the lower quartile (Q1) is the left - most point of the box. So from the plot, the left side of the box is at 50? Wait, no, the x - axis: the first vertical line of the box is at 50? Wait, the box is between 50 and, say, 90? No, the box is divided into two parts. Wait, the left part of the box (the lower quartile to median) and the right part (median to upper quartile). Wait, the left end of the box (lower quartile) is at 50? Wait, no, looking at the plot, the left side of the box is at 50. Wait, maybe the lower quartile is 50? Wait, no, let's check again. The box - and - whisker plot: the left whisker goes to 20? No, the left whisker's end is at 20? Wait, no, the left vertical line before the box is at 20? Wait, no, the plot shows: the left whisker is from 20 to 50? No, the box starts at 50. Wait, the left end of the box (Q1) is 50? Wait, maybe I misread. Wait, the x - axis: 0,10,20,30,40,50,60,70,80,90,100. The box is drawn with the left side at 50. So the lower quartile (Q1) is 50? Wait, no, maybe the left side of the box is at 50. So the value of the lower quartile is 50? Wait, no, perhaps I made a mistake. Wait, the lower quartile is the 25th percentile, and in a box plot, it's the left edge of the box. So from the plot, the left edge of the box is at 50. So the lower quartile is 50? Wait, no, wait the left whisker is from 20 to 50? No, the left whisker's end is at 20, and then the box starts at 50. So the lower quartile (Q1) is 50.

Wait, no, maybe the left side of the box is at 50. So the lower quartile is 50.

Answer:

50