If the mean of observation x1, x2, ...., xn is x, then the mean of x1 + a, x2 + a, ....., xn + a is
(a)ax
(b)x-a
(c)x+a
(d)xa
Answers
Answered by
48
SOLUTION :
The correct option is (c) : x + a
Given : The mean of observation x1, x2, x3 ,......xn is x
Total number of observations = n
MEAN = Sum of all the observations/ Total number of observations
x = (x1+ x2 + x3 + ......+ xn )/n
nx = x1+ x2 + x3 + ......+ xn ……….(1)
New observations are : x1 + a , x2 + a, x3 + a,......xn + a
MEAN = (x1 + a + x2 + a + x3 + a +......xn + a) / n
= (x1+ x2 + x3 + ......+ xn) + (a +a + a +....+ an)/n
= (nx + na)/n
[From eq 1]
MEAN = n(x + a)/n = x + a
MEAN = x + a
Hence, the Mean is x + a .
HOPE THIS ANSWER WILL HELP YOU……
Answered by
10
Answer is given below........
The correct option is (c) : x + a
Given : The mean of observation x1, x2, x3 ,......xn is x
Total number of observations = n
MEAN = Sum of all the observations/ Total number of observations
x = (x1+ x2 + x3 + ......+ xn )/n
nx = x1+ x2 + x3 + ......+ xn ……….(1)
New observations are : x1 + a , x2 + a, x3 + a,......xn + a
MEAN = (x1 + a + x2 + a + x3 + a +......xn + a) / n
= (x1+ x2 + x3 + ......+ xn) + (a +a + a +....+ an)/n
= (nx + na)/n
[From eq 1]
MEAN = n(x + a)/n = x + a
MEAN = x + a
Hence, the Mean is x + a .
The correct option is (c) : x + a
Given : The mean of observation x1, x2, x3 ,......xn is x
Total number of observations = n
MEAN = Sum of all the observations/ Total number of observations
x = (x1+ x2 + x3 + ......+ xn )/n
nx = x1+ x2 + x3 + ......+ xn ……….(1)
New observations are : x1 + a , x2 + a, x3 + a,......xn + a
MEAN = (x1 + a + x2 + a + x3 + a +......xn + a) / n
= (x1+ x2 + x3 + ......+ xn) + (a +a + a +....+ an)/n
= (nx + na)/n
[From eq 1]
MEAN = n(x + a)/n = x + a
MEAN = x + a
Hence, the Mean is x + a .
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