Question

Mean of certain number of observations is m lf each observation is divided by x( x is not equal to 0 and increased by y,then the mean of new observations is

Answer 1

Answer:

If each observation is divided by a

then new mean = x¯¯¯a

Now, each item is increased by 10

Required mean = x¯¯¯a +10

=x¯¯¯+10aa

Ans : (C)

Answer 2

The mean is divided by x and then increased by y.

$\text{New Mean} = \dfrac{m}{x}+y$

Step-by-step explanation:

We are given the following in the question:

Mean of certain number of observations = m

Formula:

$Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}$

If each observation is divided by x and then increased by y, then

$m = \displaystyle\frac{x_1 + ... + x_n}{n}\\\text{Each observation is divided by x}\\\\\text{Mean} = \displaystyle\frac{(\frac{x_1}{x}+y) + ... + (\frac{x_n}{x}+y)}{n}\\\\\text{Mean} = \frac{1}{x}\bigg( \displaystyle\frac{x_1 + ... + x_n}{n}\bigg)+\dfrac{ny}{n} = \frac{1}{x}(m) + y = \dfrac{m}{x}+y$

Thus, the mean is divided by x and then increased by y.

#LearnMore

the mean of 'n' observations is x .lf the first item is increased by 1, second by 2  so on, then the new mean is?​

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