The mean proportion of 11 and 44 is (a) 3 (b) 22 (c) 33 (d) 11?
Mean Proportion of 11 and 44
To find the mean proportion of 11 and 44, we need to calculate the geometric mean of these two numbers. The geometric mean is a type of average that is used when dealing with numbers that are related in some way, such as ratios or proportions.
Calculating the Geometric Mean
The formula for calculating the geometric mean is:
Geometric mean = √(a × b)
where a and b are the two numbers for which we want to find the mean proportion.
In this case, a = 11 and b = 44. Plugging these values into the formula, we get:
Geometric mean = √(11 × 44) = √484 = 22
Therefore, the mean proportion of 11 and 44 is 22.
Explanation
The mean proportion is a measure that helps us find a middle value between two numbers. It is useful in situations where we want to find a value that is proportional to both numbers.
In this case, the mean proportion of 11 and 44 is 22. This means that 22 is a number that is proportional to both 11 and 44. In other words, if we were to find two numbers that are in a proportion with 11 and 44, one of those numbers would be 22.
The geometric mean is used to calculate the mean proportion because it takes into account the relationship between the two numbers. It is different from the arithmetic mean, which is the most commonly used type of average. The arithmetic mean would simply be the sum of the two numbers divided by 2, which in this case would be (11 + 44) / 2 = 27.5. However, the arithmetic mean does not consider the relationship between the numbers and would not give us the desired proportion.
In conclusion, the mean proportion of 11 and 44 is 22, which is calculated using the geometric mean formula.
The mean proportion of 11 and 44 is (a) 3 (b) 22 (c) 33 (d) 11?
22