find 5 numbers so that mean,median,mode,and range are all 4
Answers
Answer:
The example set could be:
S = {2,4,4,4,6}
Step-by-step explanation:
First you can notice that if the set was:
S1 = {4,4,4,4,4}
Then it would fulfill 2 conditions: mean and median, but
1. The set does not have the mode because all numbers are the same,
2.The range is zero (again all numbers are the same)
To have the mode the set would have to have at least one element different from 4 , but if we changed only one element the mean would change, so at least two numbers need to be changed to keep mean equal to 4.
Now to get the range the difference between the changed numbers should be 4.
That leads us to adding two to one number and subtracting two from the other.
Finally we can get the set from the answer.
Answer:
2,4,4,4,6
Step-by-step explanation:
Let's check it
mean: 2+4+4+4+6/5 =20/5=4.
median: 2,4,4,4,6 so that the middle(median) is 4.
mode:and again 4 occurs most often therefore the mode is 4.
range: highest value-lowest value
=6-2=4
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