Deviation Concept Quiz: Concept of Deviation

  • 6th Grade
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Quizzes Created: 7682 | Total Attempts: 9,547,133
| Questions: 20 | Updated: Dec 16, 2025
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1) What does deviation measure in a data set?

Explanation

Deviation shows how far a value is from the mean. For example, if the mean of {2, 4, 6} is 4, the deviation for 6 is 6 - 4 = 2.

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About This Quiz
Deviation Concept Quiz: Concept Of Deviation - Quiz

What does it really mean for a number to “deviate”? This quiz explores how values move away from the mean and why that movement matters. Through simple examples, you’ll see how deviation helps explain consistency, spread, and behavior within data sets. Work through the questions and get a clear feel... see morefor the idea.
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2) If the mean of {5, 10, 15} is 10, what is the deviation of 5?

Explanation

Mean = (5 + 10 + 15)/3 = 10. Deviation = 5 - 10 = -5.

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3) If the mean is 8 and one data value is 11, what is the deviation?

Explanation

Deviation = 11 - 8 = 3. It’s positive because the value is above the mean.

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4) Deviation can be negative.

Explanation

Deviation can be negative when a data value is below the mean.

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5) If the mean is 12 and the data value is 9, the deviation is __________.

Explanation

Deviation = 9 - 12 = -3.

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6) In {2, 4, 6, 8}, what is the mean?

Explanation

Mean = (2 + 4 + 6 + 8)/4 = 20/4 = 5.

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7) Using the mean from the previous question (5), what is the deviation of 8?

Explanation

Deviation = 8 - 5 = 3.

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8) Using the same data {2, 4, 6, 8} and mean 5, what is the deviation of 2?

Explanation

Deviation = 2 - 5 = -3.

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9) Which deviations below are negative?

Explanation

For {2,4,6,8} mean = 5. Deviations 2-5 = -3 and 4-5 = -1 are negative.

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10) When a data value equals the mean, its deviation is:

Explanation

Deviation = value − mean = 0 when the value equals the mean.

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11) If a mean is 7, and a data value is 9, the deviation is __________.

Explanation

Deviation = 9 − 7 = 2.

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12) All deviations in a data set will always add up to zero.

Explanation

When you add all deviations from the mean, positives and negatives cancel out, resulting in 0.

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13) For data {3, 5, 7}, mean = 5. What are the deviations?

Explanation

Mean = 5. Deviations: 3-5=-2, 5-5=0, 7-5=2.

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14) What do positive deviations indicate?

Explanation

Positive deviations mean the value is above the mean.

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15) What do negative deviations indicate?

Explanation

Negative deviations mean the value is below the mean.

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16) Select all that show a positive deviation if mean = 10.

Explanation

Values above the mean give positive deviations: 12−10=2, 15−10=5, 11−10=1.

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17) If the mean is 9 and a data point is 9, the deviation is __________.

Explanation

Deviation = 9 − 9 = 0.

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18) If data = {4, 8, 12} and mean = 8, which data point has the largest deviation?

Explanation

Both 4 and 12 are 4 units away from the mean, so they have the same deviation magnitude.

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19) Deviations show both direction (above/below mean) and distance from the mean.

Explanation

Deviations show how far (distance) and in which direction (sign) a value is from the mean.

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20) If the deviations are -3, 0, 3, what can we say about the data set?

Explanation

Deviations are equal in size but opposite in sign, showing the data is symmetric around the mean.

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What does deviation measure in a data set?
If the mean of {5, 10, 15} is 10, what is the deviation of 5?
If the mean is 8 and one data value is 11, what is the deviation?
Deviation can be negative.
If the mean is 12 and the data value is 9, the deviation is...
In {2, 4, 6, 8}, what is the mean?
Using the mean from the previous question (5), what is the deviation...
Using the same data {2, 4, 6, 8} and mean 5, what is the deviation of...
Which deviations below are negative?
When a data value equals the mean, its deviation is:
If a mean is 7, and a data value is 9, the deviation is __________.
All deviations in a data set will always add up to zero.
For data {3, 5, 7}, mean = 5. What are the deviations?
What do positive deviations indicate?
What do negative deviations indicate?
Select all that show a positive deviation if mean = 10.
If the mean is 9 and a data point is 9, the deviation is __________.
If data = {4, 8, 12} and mean = 8, which data point has the largest...
Deviations show both direction (above/below mean) and distance from...
If the deviations are -3, 0, 3, what can we say about the data set?
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