Range Outliers Quiz: Range and the Effect of Outliers

  • 6th Grade
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| Questions: 20 | Updated: Dec 16, 2025
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1) Data set: 5, 6, 6, 7, 30. What is the range, and does 30 qualify as an outlier by the 1.5mIQR rule?

Explanation

Range = 30 − 5 = 25; IQR = 13; 30 < upper fence (38); 30 is not an outlier.

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About This Quiz
Range Outliers Quiz: Range And The Effect Of Outliers - Quiz

What happens when one odd value changes everything? This quiz shows how outliers can push the range far beyond what the data really suggests. You’ll test how a single extreme number affects spread and why it matters in real analysis. Work through each question and see how quickly outliers can... see moreshift the story behind the data.
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2) Data set: 2, 3, 3, 3, 20, 21, 22. What is the range, and are there any outliers by 1.5×IQR?

Explanation

Range = 22 − 2 = 20; IQR = 18; all values within fences; no outliers.

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3) Data set: 10, 12, 14, 50. By the 1.5×IQR rule, 50 is an outlier.

Explanation

IQR = 21; upper fence = 63.5; 50

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4) Data set: 4, 4, 5, 6, 100. Range = ___, Outlier status of 100 (yes/no) by 1.5×IQR = ___

Explanation

Range = 96; IQR = 49; upper fence = 126.5; 100

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5) Data set: 1, 1, 2, 2, 2, 50, 51, 52. Which statement is correct?

Explanation

Range = 52 − 1 = 51; all values within fences; no outliers.

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6) Removing an outlier can only decrease the range, never increase it.

Explanation

Removing max/min outlier reduces or keeps same range.

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7) Data set: 0, 0, 1, 1, 1, 8, 9. Select all true statements.

Explanation

Range=9; 9 not outlier; removing 9→range=8; cluster near 0–1.

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8) Data set: −5, −3, −3, 0, 1, 2, 20. What is the range and are there outliers by 1.5×IQR?

Explanation

Range = 25; IQR = 5; upper fence = 9.5; 20 > 9.5 → outlier.

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9) Data set: 3, 3, 4, 4, 4, 5, 40. Range = ___, IQR = ___, Outlier value(s) by 1.5×IQR = ___

Explanation

Range = 37; IQR = 2; 40 > 8 → outlier.

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10) Data set: 12, 13, 14, 14, 15, 15, 16, 90. Which change reduces the range the most?

Explanation

Range = 90 − 12 = 78; removing 90 → new range = 4.

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11) Data set: 7, 7, 8, 8, 8, 9, 30, 31. Select all true statements.

Explanation

Range=24; IQR=1; removing 30,31→range=2.

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12) A single extreme minimum can be an outlier and also set the range even if the maximum is ordinary.

Explanation

An unusually low minimum inflates range.

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13) Data set: 1, 2, 2, 3, 3, 3, 10. What is the range and how does removing 10 affect it?

Explanation

Range=9; removing 10→range=2.

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14) Data set: −2, −1, 0, 0, 0, 1, 8. Compute IQR using Tukey’s rule. IQR = ___, and outlier(s) if any = ___

Explanation

IQR = 2; upper fence = 4; 8 > 4 → outlier.

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15) Data set: 4, 5, 5, 6, 6, 7, 7, 50. Select all true statements.

Explanation

Range=46; IQR=2; 50>10→outlier; removing 50→range=3.

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16) Data set: 100, 101, 102, 103, 104, 105. Which statement is correct?

Explanation

Range=5; all within fences; no outliers.

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17) If a data set has one extreme high outlier but no extreme low values, the range is driven mainly by the high outlier.

Explanation

Range depends on max and min; high outlier inflates range.

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18) Data set: 2, 2, 2, 3, 4, 30. Select all true statements.

Explanation

Range=28; IQR=1; 30>7→outlier; removing 30→range=2.

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19) Data set: 9, 10, 10, 10, 11, 12, 60. What happens to the range and to outlier status if 60 is replaced by 20?

Explanation

Range=51→11; 20>15→still an outlier.

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20) Data set: 15, 16, 16, 17, 18, 19, 100. Range = ___, Outlier(s) by 1.5×IQR = ___

Explanation

Range=85; IQR=3; upper fence=23.5; 100>23.5→outlier.

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Data set: 5, 6, 6, 7, 30. What is the range, and does 30 qualify as an...
Data set: 2, 3, 3, 3, 20, 21, 22. What is the range, and are there any...
Data set: 10, 12, 14, 50. By the 1.5×IQR rule, 50 is an outlier.
Data set: 4, 4, 5, 6, 100. Range = ___, Outlier status of 100 (yes/no)...
Data set: 1, 1, 2, 2, 2, 50, 51, 52. Which statement is correct?
Removing an outlier can only decrease the range, never increase it.
Data set: 0, 0, 1, 1, 1, 8, 9. Select all true statements.
Data set: −5, −3, −3, 0, 1, 2, 20. What is the range and are...
Data set: 3, 3, 4, 4, 4, 5, 40. Range = ___, IQR = ___, Outlier...
Data set: 12, 13, 14, 14, 15, 15, 16, 90. Which change reduces the...
Data set: 7, 7, 8, 8, 8, 9, 30, 31. Select all true statements.
A single extreme minimum can be an outlier and also set the range even...
Data set: 1, 2, 2, 3, 3, 3, 10. What is the range and how does...
Data set: −2, −1, 0, 0, 0, 1, 8. Compute IQR using Tukey’s rule....
Data set: 4, 5, 5, 6, 6, 7, 7, 50. Select all true statements.
Data set: 100, 101, 102, 103, 104, 105. Which statement is correct?
If a data set has one extreme high outlier but no extreme low values,...
Data set: 2, 2, 2, 3, 4, 30. Select all true statements.
Data set: 9, 10, 10, 10, 11, 12, 60. What happens to the range and to...
Data set: 15, 16, 16, 17, 18, 19, 100. Range = ___, Outlier(s) by...
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