Question

you create the data create a set of seven numbers (repeats allowed) that have the five numbers summary. minimum =4 Q1=8 M=12 Q3=15 Maximum=19.
There is more than one set of seven numbers with this five number summary. What must be true about the seven numbers to have this five number summary

Answers

To start with, any 7-number set with the given 5 number summary will look like this:
4, _, _, _, _, _, 19
Since there's an odd number of pieces of data, the middle value is the median, M, so the set must also look like this:
4, _, _, 12, _, _, 19
Now think about how lower quartile and upper quartile are calculated, to see what else must be true about the 7-number set.

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