Answer:

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.