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Concept explainers
To calculate: The centers and variations and write an inference about the two populations.
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Answer to Problem 4IP
Girls have a mean height of 65 inches with a mean absolute deviation 0.8 inches and the boys have a mean height of 69 inches with mean absolute variation 1.4 inches.
The mean of boys is greater than girls; however the variation of boys is also greater which means that the heights of boys are more spread out.
Explanation of Solution
Given information: The double dot plots showing the heights of boys and girls.
Calculation:
Both the double dot plots are symmetric. Use the mean to compare the centers and the mean absolute deviation to compare the variations.
For the Boys:
Now finding the absolute variations
Now,
For the Girls:
Now finding the absolute variations
Now,
Girls | Boys | |
Mean | 65 | 69 |
Mean absolute deviation | 0.8 | 1.4 |
Girls have a mean height of 65 inches with a mean absolute deviation 0.8 inches and the boys have a mean height of 69 inches with mean absolute variation 1.4 inches.
The mean of boys is greater than girls; however the variation of boys is also greater which means that the heights of boys are more spread out.
.
Chapter 10 Solutions
Glencoe Math Accelerated, Student Edition
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