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Answer:

The average height of poodles in your kennel is 25.19 inches.

Step-by-step explanation:

This is a weighed average problem.

To find the weighed average, we sum each value of the set multiplied by it's weight, and then we divide by the sum of the weights.

In this problem, we have that:

Average 20.5 inches has weight 28.

Average 32.1 inches has weight 19.

What is the average height of poodles in your kennel?

[tex]A = \frac{32.1*19 + 20.5*28}{19+28} = \frac{1183.9}{47} = 25.19[/tex]

The average height of poodles in your kennel is 25.19 inches.
  • The average height of the poodle in the kennel is 25.19 inches

To start with, in finding the height of the poodle, we consider both groups. We then add the multiplication of the number of dogs by the average, and finally, we divide them all by the number dogs. Mathematically, i am saying that;

  1. Group 1 = 28 * 20.5 = 574
  2. Group 2 = 19 * 32.1 = 609.9
  3. Adding the number of dogs together, we have 28 + 19 = 47

Finally,

[tex]\frac{574+609.9}{47}[/tex] = 25.19

Therefore, the average height of the dogs in the kennel is 25.19 inches

learn more about calculating averages here: https://brainly.com/question/20118982