he dot plot shows the number of words students spelled correctly on a pre-test. A number line going from 2 to 11. 0 dots are abo
ve 2. 0 dots are above 3. 1 dot is above 4. 2 dots are above 5. 4 dots are above 6. 4 dots are above 7. 3 dots are above 8. 2 dots are above 9. 2 dots are above 10. 0 dots are above 11. Which statement best describes the shape of the graph? The graph is skewed right. The graph is nearly symmetrical. The graph is skewed left. The graph is perfectly symmetrical.
2 answers:
<h3>Answer: B. Graph is nearly symmetrical</h3>
Explanation:
Given information:
- A number line going from 2 to 11.
- 0 dots are above 2.
- 0 dots are above 3.
- 1 dot is above 4.
- 2 dots are above 5.
- 4 dots are above 6.
- 4 dots are above 7.
- 3 dots are above 8.
- 2 dots are above 9.
- 2 dots are above 10.
- 0 dots are above 11.
From that we can see the data set is {4,5,5,6,6,6,6,7,7,7,7,8,8,8,9,9,10,10} which produces the dot plot you see in the image attachment below.
It's a bit tricky to see, but the graph is nearly symmetrical. If we were to remove the blue points in the dot plot I provided, then we'll get a perfectly symmetrical distribution. Symmetrical means one half is a mirror copy of the the other half. The center line of a symmetrical distribution is both the mean and median.
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