What is the interquartile range (IQR) of the data?

Question

anonymous · Answer

http://static.k12.com/calms_media/media/1546500_1547000/1546632/2/10e332b039a2b9dfebc776b2f16fb8ff050d7b0f/MS_IMA_10_10_lesson_manuscript_UNIT_CHECKPOINT_Art_07.jpg

anonymous · Answer

@mathmath333  @Michele_Laino @MikeyMaximum

anonymous · Answer

@campbell_st  @confluxepic

campbell_st · Answer

ok... so if I r-write the data set as 

31, 33, 37, 40, 40, 43, 47, 48, 50, 52, 56, 58

find the median value, this divides the data into 2 equal halves. 

then find the middle of the lower half... this is the lower quartile or Q1

the find the middle of the upper half... this is the upper quartile of Q3

then the interquartile range IQR = Q3 - Q1

there will be slight variations in the solution depending on where you live. I understanding in the US, the median is included when finding quartiles... 

hope it all makes sense.