Question

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

Answer 1

mean=5+28+15+10+15+8+24/7
=15
median=15
mode =15
four numbers are added then the new series is
5,28,15,10,15,8,24,a,b,c,d

median =15
mean =15
mode =15+1=16
5, + 28 + 15 + 10 + 18 + 8 + 24 + 16 + 16 + 16 + d/11=15 (because median=15)
d=12
therefore four numbers are 16,16,16,12

Answer 2

mean=5+28+15+10+15+8+24/7

=15

median=15

mode =15

four numbers are added then the new series is

5,28,15,10,15,8,24,a,b,c,d

median =15

mean =15

mode =15+1=16

5, + 28 + 15 + 10 + 18 + 8 + 24 + 16 + 16 + 16 + d/11=15 (because median=15)

d=12

therefore four numbers are 16,16,16,12