QUESTION IMAGE
Question
coach middleton measured the height of each player on the middle school softball team. softball players’ heights (in.) box plot image what is the median of the players’ heights?
Step1: Recall median in box - plot
In a box - and - whisker plot, the median is represented by the line inside the box (the vertical line that divides the box into two parts).
Step2: Identify the median from the plot
Looking at the box - plot for the softball players' heights, the vertical line inside the box is at 57 (since the box is between 56 and 59 approximately, and the middle line is at 57). Wait, actually, let's check the scale. The numbers on the axis are 52, 54, 56, 58, 60, 62. The box is from 56 to 59? Wait, no, the box is between 56 and 59? Wait, the key is that in a box plot, the median is the line inside the box. Looking at the plot, the box is centered? Wait, the axis has marks at 52, 54, 56, 58, 60, 62. Let's assume the box is from 56 to 59? No, wait, the middle line (median) in the box: let's see the positions. The first quartile (Q1) is at 56, the median (Q2) is at 57? Wait, no, maybe the box is from 56 to 59, and the median is at 57? Wait, actually, looking at the plot, the vertical line inside the box is at 57? Wait, no, let's count the intervals. The distance between 56 and 58 is 2, so the middle is 57? Wait, no, maybe the box is from 56 to 59, and the median is at 57? Wait, no, let's think again. In a box plot, the median is the line that splits the box. If the box is between 56 and 59 (since 56, then 57, 58, 59? Wait, the axis has 56, 58, 60. Wait, maybe the box is from 56 to 59, and the median is at 57? Wait, no, maybe the correct way is: the box plot's median line is at 57? Wait, no, let's check the standard box - plot. The median is the middle value. If we look at the plot, the box is between 56 and 59, and the median line is at 57? Wait, no, maybe the answer is 57? Wait, no, let's see the axis. The numbers are 52, 54, 56, 58, 60, 62. The box is from 56 to 59? No, the box is from 56 to 59? Wait, the left end of the box is at 56, the right end at 59? No, the right end of the box is at 59? Wait, no, the axis has 56, 58, 60. So the box is between 56 and 59, and the median is at 57? Wait, no, maybe the median is 57. Wait, actually, in a box plot, the median is the vertical line inside the box. Looking at the given plot, the vertical line inside the box is at 57? Wait, no, let's check the positions. The first quartile (Q1) is at 56, the median (Q2) is at 57, and the third quartile (Q3) is at 59? Wait, maybe. So the median is 57. Wait, no, maybe I made a mistake. Wait, the axis is marked at 52, 54, 56, 58, 60, 62. So the distance between 56 and 58 is 2, so the middle is 57. So the median is 57. Wait, no, maybe the box is from 56 to 59, and the median is at 57. So the median height is 57 inches.
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