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8th Grade Math : Statistics

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Example Question #1 : Statistics

The scatter plot provided displays a group of students' test scores versus the length of time the students spent studying for a test. Based on plot, select the answer choice with the data point that if added to the graph, would be an outlier.

Possible Answers:

(5,10)

(1,47)

(2,50)

(2,52)

Correct answer:

(5,10)

Explanation:

To answer this question correctly, we need to recall what "outlier" means. An outlier is a value that is much smaller or larger than the rest of the values in a set of data. Also, a data point that does not follow the same pattern as the rest of the set could be described as an outlier.

Let's look at our answer choices:

(2,50)

This point is showing that a student who studied for hours received a $50\%$ on the test. If we look at our graph, we can see that the two students that spent hours studying received scores of $45\%$ and $55\%$ . A score of $50\%$ fits in with that data; thus, (2,50) is not an outlier.

(1,47)

This point is showing that a student who studied for hour received a $47\%$ on the test. If we look at our graph, we can see that the two students that spent hour studying received scores of $45\%$ and $50\%$ . A score of $47\%$ fits in with that data; thus, (1,47) is not an outlier.

(2,52)

This point is showing that a student who studied for hours received a $52\%$ on the test. If we look at our graph, we can see that the two students that spent hours studying received scores of $45\%$ and $55\%$ . A score of $50\%$ fits in with that data; thus, (2,52) is not an outlier.

(5,10)

This point is showing that a student who studied for hours received a $10\%$ on the test. If we look at our graph, we can see that the student who spent hours studying received a score of $90\%$ . Also, if we look at the student who studied for hours, that student received an $80\%$ . Based on this results, (5,10) would be an outlier.

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Example Question #1 : Statistics

Select the answer choice with a data set that includes an outlier.

Possible Answers:

$\left \{ 57,63,68,64,59,66\left.\right \}\right.$

$\left \{ 67,65,55,71,59,66\left.\right \}\right.$

$\left \{ 57,63,68,14,59,66\left.\right \}\right.$

$\left \{ 67,69,58,64,59,66\left.\right \}\right.$

Correct answer:

$\left \{ 57,63,68,14,59,66\left.\right \}\right.$

Explanation:

In this case, we are looking for a number that doesn't match with the other numbers provided in a set:

$\left \{ 57,63,68,{\color{Red} 14},59,66\left.\right \}\right.$

has a much smaller value than the other number in the set; thus, is an outlier.

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8th Grade Math : Statistics

Study concepts, example questions & explanations for 8th Grade Math

All 8th Grade Math Resources

Example Questions

Example Question #1 : Statistics

Example Question #1 : Statistics

All 8th Grade Math Resources

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