Question

observation of raw data are 5,28,15,10,15,8,24 add four more numbers so that the mean and median of the data remain the same,but mode increase by 1

Answer 1

four numbers are 16,16,16,27

Answer 2

Given observations =5,28,15,10,15,8,24
Ascending order=5,8,10,15,15,24,28
Median=15
Mode =15
Mean =(5+8+10+15+15+24+28)÷7
=15
4 new observations are added
Let new observations =x,x,x, x1
Mean=(105+x+x+x+x1)÷11=15
=105+3x+x1=15×11
=3x+x1=165-105
=3x+x1=60
Mode increased by 1 mode=15+1=16
x=16

3×16+x1=60
48+x1=60
x1=60-48=12
New observations =16,16, 16,12