Question

5.
Four integers are added to a group of integers 3,4,5,5and8and the mean,
median, and
mode of the data increases by 1 each. What is the greatest integer in the new group of
integers?

Answer 1

Answer:

Let the Mean=

5

(3+4+5+5+8)

=

5

25

=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.