Finding Outliers with Fences

Given the 5 number summary, find the upper fence.

• 171.5

• 15.5

• 43.5

• 7

Given the 5 number summary, Find the lower fence.

• 171.5

• 15.5

• 43.4

• 7

Given the 5 number summary, the minimum is an outlier.

• True

• False

What are the coordinates of the outlier?

• (9,1)

• (0,3)

• (1,9)

The table below shows the lengths of fences a company installed during a week. 
Which statement is true?

• The 275-foot fence caused the mean to be significantly lower than the median.

• The 275-foot fence caused the median to be significantly lower than the mean.

• The 2,250-foot fence caused the mean to be significantly greater than the median.

• The 2,250-foot fence caused the median to be significantly greater than the mean.

A value that is much higher or much lower than the other values in a set of data.

• Outlier

• Box Plot

• Range

• Histogram

If $88,000 was found to be an outlier, which salary would be the new maximum?

• $55,000

• $28,000

• $88,000

• $72,000

List all of the outliers of the data set:

38, 42, 77, 47, 74, 51, 48, 41, 82, 72, 74, 129

Desmos:

1. Row 1: Type the data list into Desmos:

Type L = [ data separated by commas]

2. Row 2: Type: stats(L)

3. Row 3: Type the values for Q3 and Q1 into the formula Q3 - Q1 to find the IQR

4. Row 4: Type the values for Q1 and the IQR into the Left Fence Formula: Q1 - 1.5(IQR) to find the value of the Left Fence. Data values LOWER than the Left Fence are outliers.

5. Row 5: Type the values for Q3 and the IQR into the Right Fence Formula: Q3 + 1.5(IQR) to find the value of the Right Fence. Data values HIGHER than the Right Fence are outliers.

• 38

• 38 and 42

• 82 and 129

• 129

Identify all of the outliers of this data set:

74, 63, 69, 62, 33, 79, 70, 60, 107, 119

Desmos:

1. Row 1: Type the data list into Desmos:

Type L = [ data separated by commas]

2. Row 2: Type: stats(L)

3. Row 3: Type the values for Q3 and Q1 into the formula Q3 - Q1 to find the IQR

4. Row 4: Type the values for Q1 and the IQR into the Left Fence Formula: Q1 - 1.5(IQR) to find the value of the Left Fence. Data values LOWER than the Left Fence are outliers.

5. Row 5: Type the values for Q3 and the IQR into the Right Fence Formula: Q3 + 1.5(IQR) to find the value of the Right Fence. Data values HIGHER than the Right Fence are outliers.

• 33

• 33, 119

• 33, 107, 119

• 119

Identify all of the outliers of this data set:

107, 92, 111, 119, 99, 100, 89, 94, 125, 93

Desmos:

1. Row 1: Type the data list into Desmos:

Type L = [ data separated by commas]

2. Row 2: Type: stats(L)

3. Row 3: Type the values for Q3 and Q1 into the formula Q3 - Q1 to find the IQR

4. Row 4: Type the values for Q1 and the IQR into the Left Fence Formula: Q1 - 1.5(IQR) to find the value of the Left Fence. Data values LOWER than the Left Fence are outliers.

5. Row 5: Type the values for Q3 and the IQR into the Right Fence Formula: Q3 + 1.5(IQR) to find the value of the Right Fence. Data values HIGHER than the Right Fence are outliers.

• 66

• 89

• 66 and 89

• 125