Answer: See the attached image for the answers. I've arranged the tiles in the proper order.
- minimum = 2
- lower quartile = 4
- second quartile = 8
- upper quartile = 19
- maximum = 21
This is known as a five number summary.
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Step-by-step explanation:
The first thing to do is to sort the numbers from smallest to largest
You should get this set {2, 4, 7, 8, 16, 19, 21}
The middle most value is 8. So this is the median or the second quartile.
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Split the data set into two lists like so
L = {2,4,7}
U = {16,19,21}
Everything in set L represents the lower set of values smaller than the median. Set U represents the upper set of values larger than the median.
Find the median of sets L and U to get 4 and 19 respectively. These represent the values of Q1 and Q3
Q1 = first quartile = lower quartile = 4
Q3 = third quartile = upper quartile = 19
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As you can probably guess, the min and max are the smallest and largest values of the set. We can see that min = 2 and max = 21.