To calculate: The centers and variations and write an inference about the two populations.
Answer to Problem 1GP
Second periods score centered around 16 with a variation of 0.8 and fifth period score centered around 17 with variation 1.4.
Fifth period center around a greater value but the scores are more spread out than second period.
Explanation of Solution
Given information: The double dot plots for showing the quiz score for the periods second and fifth.
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 Second period:
Now finding the absolute variations
Now,
For the fifth period:
Now finding the absolute variations
Now,
Second Period | Fifth period | |
Mean | 16 | 17 |
Mean absolute deviation | 0.8 | 1.4 |
Second period has a mean of 16 with mean absolute deviation 0.8 and the fifth period has a mean of 17 with mean absolute variation 1.4.
The mean of fifth period is greater than second period; however the variation of fifth period is also greater which means that the scores are more spread out.
Second periods score centered around 16 with a variation of 0.8 and fifth period score centered around 17 with variation 1.4.
Chapter 10 Solutions
Glencoe Math Accelerated, Student Edition
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