Four integers are added to a group of integers 3, 4, 5, 5 and 8 and the mean, median, and
mode of the data increases by I each. What is the greatest integer in the new group of
integers?
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Let the Mean=5(3+4+5+5+8)=525=5
Median=5
Mode=5 (5 has frequency 2)
Four integers are added to a group of integers data increases by 1 each therefore,
Mode=6
In group of integers 6 must be 3 times,therefore Let fourth integer=x
Group of integers=3,4,5,5,6,6,6,8 and x
Therefore new mean is 6
9(3+4+5+5+6+6+6+8+x)=6
Implies that
9(43+x)=6
Implies that
43+x=54
x=54−43
x=11.
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