Question

The mean of 5 observation is 10 . If each observation of the data increased by 5 , the new mean is -

Answer 1

Answer:

15

Step-by-step explanation:

given,

mean of five observation is=10

sum of observations=X1+X2+X3+X4+X5

number of observations=5

so , mean=sum of observations/ number of each of observations

hence ,

mean:10= X1+X2+X3+X4+X5/5

10*5= X1+X2+X3+X4+X5

50=X1+X2+X3+X4+X5 _______eq(1)

now,

so each observations is increased by 5

so,

new mean=X1+5+X2+5+X3+5+X4+5+X5/5

new mean=X1+X2+X3+X4+X5+25/5

new mean= 50+25/5

New mean=75/5 = 15

Answer 2

Answer:

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

given,

mean of five observation is=10

sum of observations=X1+X2+X3+X4+X5

number of observations=5

so , mean=sum of observations/ number of each of observations

hence ,

mean:10= X1+X2+X3+X4+X5/5

10*5= X1+X2+X3+X4+X5

50=X1+X2+X3+X4+X5 _______eq(1)

now,

so each observations is increased by 5

so,

new mean=X1+5+X2+5+X3+5+X4+5+X5/5

new mean=X1+X2+X3+X4+X5+25/5

new mean= 50+25/5

New mean=75/5 = 15