SOLUTION: Find the 5 number summary for the data shown 14 25 26 31 35 49 50 55 56 75 76 82 85 5 number summary: ______, _______, _______, ______, ______

Algebra ->  Probability-and-statistics -> SOLUTION: Find the 5 number summary for the data shown 14 25 26 31 35 49 50 55 56 75 76 82 85 5 number summary: ______, _______, _______, ______, ______       Log On


   



Question 1133436: Find the 5 number summary for the data shown
14 25
26 31
35 49
50 55
56 75
76 82
85
5 number summary:
______, _______, _______, ______, ______



Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

Statistical file:
{ highlight%2814%29, 25, 26, 31, 35, 49, 50, 55, 56, 75,76, 82, 85}
1. Minimum: 14
{ 14, 25, 26, 31, 35, 49, 50, 55, 56, 75,76, 82, highlight%2885%29 }
2.Maximum: 85
{ 14, 25, 26, 31, 35, 49,highlight%28+50%29, 55, 56, 75,76, 82, 85}
3. Median: 50
4.Quartile Q%5B1%5D is the median in the lower half of the data
Q%5B1%5D=%2826%2B31%29%2F2=+28.5
5. Quartile

=>5 number summary:
____14__, ___85____, ___50____, ___28.5___, ___75.5___

The range of a data set is the distance between the maximum and minimum value. To compute the range of a data set, we subtract the minimum from the maximum:
range+=+maximum+-+minimum
range+=+85+-14=71
The interquartile range of a data set is the distance between the two quartiles.
Interquartile_+range+=+Q%5B3%5D+-Q%5B1%5D=75.5-28.5=47