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barattah
26.06.2019 •
Mathematics
Let q = {1.7, 1.1, 1.4, 2.1, 2.3, s}. what is the absolute difference between the greatest and least possible values of the median of set q? express your answer as a decimal to the nearest hundredth.
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Ответ:
0.35
Step-by-step explanation:
After arranging Q in ascending order excluding s, we get
Q = {1.1,1.4,1.7,2.1,2.3}
Here, the median is 1.7. Now, if s< 1.7,
Q= {1.1,s,1.4,1.7,2.1,2.3}
Now for the least value, median =![\frac{1.4+1.7}{2}](/tpl/images/0019/3364/2dd4d.png)
= 1.55
If s>1.7, Q = {1.1,1.4,1.7,2.1,s,2.3,}
Now for the greatest value, median =![\frac{1.7+2.1}{2}](/tpl/images/0019/3364/03622.png)
= 1.9
Absolute difference between the medians = 1.9 -1.55
= 0.35
Ответ: