Question

The mean of 50 observations is 100. If one of the observations which was 50
is replaced with 100, the resulting mean will become :
(a) 100
(b) 100.5
(c) 101
(d) 150​

Answer 1

Answer:

C) 101

Step-by-step explanation:

mean = sum of observations/ total number of observations

so we have 50 observations and mean is 100

then we get,

50*100=5000

if we replace one observation which is 50 with 100 then,

5000-50 = 4950

and add 100 then,

4950+100= 5050

now,

new mean = 5050/50=101

thanks

Answer 2

Answer:

101

Step-by-step explanation:

Mean of 50 observation =100

∴Total of 50 observation=100×50=5000

If one of the observation 50 is replaced by 100 than total of new observation is=5000−50+100=5050

Hence the mean of new 100 observation=550

$\frac{5050}{50}$

=101