Question

A national dog show had two types of poodles. This table

shows height data, in inches, for the two types of poodles.
Heights of Poodles
Type of Poodle
Miniature
Standard
Number of Dogs
18
24
Mean Height Variation in Height
(inches)
(inches)
13
23
2
2
What number completes the sentence?
The difference in inches, between the mean height for the two
types of poodles is
times the variation for
either type.
Enter your answer in the space provided.

Answer 1

The difference in inches, between the mean height for the two types of poodles is 5 times the variation for either type.

Here's how to calculate it:
- For the miniature poodles, the mean height is 13 inches and the variation is 2 inches.
- For the standard poodles, the mean height is 23 inches and the variation is also 2 inches.
- The difference between the mean heights is 23 - 13 = 10 inches.
- We want to express this difference in terms of the variation for either type. Since the variation for either type is 2 inches, we can divide the difference by 2 to get the answer:
```
10 ÷ 2 = 5
```
So the difference in inches is 5 times the variation for either type.

Answer 2

The difference in inches, between the mean height for the two types of poodles, is 5 times the variation for either type.