Question

the mean of 12 observations is 14. if 5 is added to each observation find the new mean​

Answer 1

Answer:

19

Step-by-step explanation:

The mean of 12 observations is 14.

When we add 5  to each observation, the average increase in each observation will be 5.

So, the mean also will increase by 5.

So the new mean = 14 + 5 = 19

Answer 2

Step-by-step explanation:

Mean of 12 observations is 14

We know that,

$\\ {\large{\sf{\orange{Mean \: = \: \frac{Sum \: of \: terms}{Number \: of \: terms}}}}}$

${\bold{\sf{➩ \: \: 14 \: = \: \frac{Sum \: of \: terms}{12}}}}$

${\bold{\sf{➩ \: \: Sum \: of \: terms \: = \: 14 \: × \: 12}}}$

${\bold{\sf{➩ \: \: Sum \: of \: terms \: = \: 168}}}$

Now 5 is added to each observations (12 observations)

Therefore, 5 × 12 = 60

60 is added to each observations,

${\bold{\sf{➩ \: \: 168 \: + \: 60}}}$

${\bold{\sf{➩ \: \: 228}}}$

Therefore 228 is the new sum

Let's calculate new mean,

${\bold{\sf{➩ \: \: mean \: = \: \frac{228}{12}}}}$

${\bold{\sf{➩ \: \: mean \: = \: 19}}}$