Question

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?

Answer 1

Mean=(3+4+5+5+8)=5=25=5=5 Median=5 Mode=5(as 5 has frequency 2) four integers are added to a group of integers data increases by 1 each so Mode=6 In group of integers 6 must be 3 times, so Let fourth integer=x Group of integers=3,4,5,5,6,6,6,8 and x So new mean is 6 (3+4+5+5+6+6+6+8+x)=9=6 (43+x)=9=6 43+x=54 x=54-43 x=11 Answer-11 is the greatest integer in the new group of integers.