Question

A data set has a median of 12, an upper quartile of 15, a lower quartile of 10, a minimum of 4, and a maximum of 20. Which statement is true of the box plot of this data set?

Answer 1

If your options are;

[1] The box will go from 10 to 12.

[2] A line dividing the box will be at 12.

[3] The left whisker will go from 4 to 15.

[4] The right whisker will go from 12 to 20.

Then:

Answer:

[2] A line dividing the box will be at 12.

Step-by-step explanation:

     The box goes from the lower quartile (10) to the upper quartile (15) so option 1 is incorrect.

     Option 2 is correct because the line dividing the box is the median, and this data has a median of 12 so the line will be at 12.

     A box plot uses the medians and quartiles to show how data is throughout the graph. The "whiskers" go from the lowest data value to the lower quartile and from the highest data value to the upper quartile. We do not have the information to talk about this, so options 3 and 4 are incorrect.

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly.

- Heather