QUESTION IMAGE
Question
cds owned by students
boys
girls
20 40 60
which statistical data points have the same value in both box plots? select all that are the same.
select all correct options
lower quartile upper extreme lower extreme upper quartile median
Brief Explanations
To determine which statistical data points are the same in both box - plots (for boys and girls' CDs owned), we analyze each option:
- Lower Quartile: The lower quartile (Q1) is the value separating the lowest 25% of the data. From the box - plots, the lower quartile for boys and girls appears to be different.
- Upper Extreme: The upper extreme (maximum value) is the highest data point. Looking at the box - plots, the upper extreme for boys and girls is different (the girls' upper extreme is further to the right).
- Lower Extreme: The lower extreme (minimum value) is the lowest data point. By observing the box - plots, the lower extreme for both boys and girls is the same (the left - most points are at the same position).
- Upper Quartile: The upper quartile (Q3) is the value separating the highest 25% of the data. From the box - plots, the upper quartile for boys and girls seems to be the same (the right - hand side of the box for both is at the same position).
- Median: The median is the middle value of the data set. In a box - plot, the median is represented by the line inside the box. From the box - plots, the median for boys and girls is the same (the middle line of the box for both is at the same position).
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Lower Extreme, Upper Quartile, Median