Question

The arithmetic mean of the following observation 4, 8, 12, 16 is _______. (Fill in the blank by choosing correct option)
1) 8
2) 10
3) 6
4) 12

Answer 1

Answer:

2) 10

Explanation:

As per the question,

As we know that arithmetic mean is define as the average that is ratio of the sum of observations to the total number of observation.

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

Given observations are:  4, 8, 12, 16

Total number of observations = 4

Therefore,

$Mean = \frac{4 + 8 + 12 + 16}{4}$

$Mean = \frac{40}{4}$

Mean = 10

Hence, the correct option is (2)

Answer 2

Given,

Four numbers as the observations: 4, 8, 12, 16

To find,

The arithmetic mean of the given observations.

Solution,

We can simply solve this mathematical problem using the following process:

Mathematically, the arithmetic mean of a set of observations or numbers can be calculated as follows:

Arithmetic mean (AM) = (Sum of all observations) / (Total number of observations)

Now,

Arithmetic mean (AM) of the given observations

= (Sum of all observations) / (Total number of observations)

= (4 + 8 + 12 + 16) / 4

= 40/4 = 10

Hence, the arithmetic mean of the given observations is 10.