Time Spent Studying (in hours)
The time spent studying, in hours, on a daily basis of 9 different students was used to create the box plot shown above. Which of the sets of times below matches the given box plot?
Time Studying: 0, 0, 0.5, 0.5, 0.5, 0.5, 1, 2, 2.5
Time Studying: 0, 0, 0.5, 0.5, 0.5, 0.5, 1, 1.5, 2.5
Time Studying: 0, 0, 0.5, 0.5, 1, 1, 1, 1.5, 2.5
Time Studying: 0, 0.5, 0.5, 0.5, 0.5, 0.5, 1, 1.5, 2.5
suppp
hey yall!! I had this question on edmentum/study island and I I have the correct answer:
The time spent studying with the box plot is: Time Studying: 0, 0, 0.5, 0.5, 0.5, 0.5, 1, 1.5, 2.5.
Hope this helps!! :) (Btw if any of you goes to GCA pls let me know)
To determine which set of times matches the given box plot, let's first understand how to interpret a box plot.
A box plot is a graphical representation of a data set that shows the minimum, first quartile (Q1), median (Q2), third quartile (Q3), and maximum. The box represents the interquartile range (IQR), which is the range between the first and third quartiles. The "whiskers" extend to the minimum and maximum values (excluding any outliers) within 1.5 times the IQR.
In the given box plot, we can observe the following:
- The minimum value is around 0.
- The first quartile (Q1) is around 0.5.
- The median (Q2) is around 1.
- The third quartile (Q3) is around 2.
- The maximum value is 2.5.
Now let's compare these observations with each set of times:
Time Studying: 0, 0, 0.5, 0.5, 0.5, 0.5, 1, 2, 2.5
- Matches the given box plot observations because it includes the minimum, first quartile (Q1), median (Q2), third quartile (Q3), and maximum values mentioned above.
Time Studying: 0, 0, 0.5, 0.5, 0.5, 0.5, 1, 1.5, 2.5
- Does not match the given box plot observations because it includes a value of 1.5, which is not seen in the box plot.
Time Studying: 0, 0, 0.5, 0.5, 1, 1, 1, 1.5, 2.5
- Does not match the given box plot observations because it includes multiple values of 1 and 1.5, which are not seen in the box plot.
Time Studying: 0, 0.5, 0.5, 0.5, 0.5, 0.5, 1, 1.5, 2.5
- Matches the given box plot observations because it includes the minimum, first quartile (Q1), median (Q2), third quartile (Q3), and maximum values mentioned above.
Therefore, the sets of times that match the given box plot are:
1. Time Studying: 0, 0, 0.5, 0.5, 0.5, 0.5, 1, 2, 2.5
2. Time Studying: 0, 0.5, 0.5, 0.5, 0.5, 0.5, 1, 1.5, 2.5