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Finding Outliers

Total questions: 7

Worksheet time: 4mins

Name
Class
Date
1.

Does the data below have outliers?


74, 88, 78, 90, 94, 90, 84, 90, 98, 80


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. If there are any data values LOWER than the Left Fence, there is an outlier.


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. If there are any data values HIGHER than the Right Fence, there is an outlier.

a)

Yes

b)

No

2.

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.

a)

38

b)

38 and 42

c)

82 and 129

d)

129

3.

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.

a)

33

b)

33, 119

c)

33, 107, 119

d)

119

4.

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.

a)

66

b)

89

c)

66 and 89

d)

125

5.

Identify all of the outliers of this data set:


20, 52, 86, 80, 44, 49, 57, 41, 44, 55


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.

a)

20, 24.5, 76.5, 80, 86

b)

24.5 and 76.5

c)

20, 80 and 86

d)

57

6.

Identify all of the outliers of this data set:


18, 68, 15, 45, 46, 36, 72, 34, 42, 38


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.

a)

16 and 64

b)

15, 68,72

c)

15,16,64,68,72

d)

72

7.

Identify all of the outliers of this data set:


22, 26, 31, 37, 31, 26, 50, 28, 24


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.

a)

11.5

b)

11.5, 47.5, 50

c)

47.5,50

d)

50