SOLUTION: Find the 5 number summary for the data shown 2 ... 5 18.... 48 52... 57 58... 79 83... 84 90... 98 5 number summary: _______, ________, __________, _________, _____

Algebra ->  Probability-and-statistics -> SOLUTION: Find the 5 number summary for the data shown 2 ... 5 18.... 48 52... 57 58... 79 83... 84 90... 98 5 number summary: _______, ________, __________, _________, _____      Log On


   



Question 1133473: Find the 5 number summary for the data shown
2 ... 5
18.... 48
52... 57
58... 79
83... 84
90... 98

5 number summary:
_______, ________, __________, _________, _________

Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
Statistical file:
{ 2,5,18, 48,52, 57,58,79, 83,84, 90,98 }

1. Minimum: highlight%282%29

{ 2, 5, 18, 48, 52, 57, 58, 79, 83,84, 90, 98 }
2.Maximum: highlight%2898%29

+%28+57%2B58%29%2F2=57.5
3. Median: +highlight%2857.5%29

4.Quartile Q%5B1%5D is the median in the lower half of the data
Q%5B1%5D=%2818%2B48%29%2F2=highlight%2833%29

5. Quartile Q%5B3%5D is the median in the upper half of data
Q%5B3%5D=%2883%2B84%29%2F2=+highlight%2883.5%29

=>5 number summary:
____2__, ___98____, ___57.5____, ___33___, ___83.5___

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+=+98+-2=96
The interquartile range of a data set is the distance between the two quartiles.
Interquartile_+range+=+Q%5B3%5D+-Q%5B1%5D=83.5-33=50.5