Calculate Quartile Items from 1,3,5

<-- Enter Number Set
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You entered a number set X of {1,3,5}

From the 3 numbers you entered, we want to calculate the upper quartile, lower quartile, inner fence points, and outer fence points of that number set:

We need to sort our number set from lowest to highest shown below:
{1,3,5}

Calculate Upper Quartile (UQ) when y = 75%:
V =y(n + 1)
100

V =75(3 + 1)
100

V =75(4)
100

V =300
100

V = 3 ← Rounded down to the nearest integer

Upper quartile (UQ) point = Point # 3 in the dataset which is 5
1,3,5

Calculate Lower Quartile (LQ) when y = 25%:
V =y(n + 1)
100

V =25(3 + 1)
100

V =25(4)
100

V =100
100

V = 1 ← Rounded up to the nearest integer

Lower quartile (LQ) point = Point # 1 in the dataset which is 1
1,3,5

Calculate Inter-Quartile Range (IQR):
IQR = UQ - LQ
IQR = 5 - 1
IQR = 4

Calculate Lower Inner Fence (LIF):
Lower Inner Fence (LIF) = LQ - 1.5 x IQR
Lower Inner Fence (LIF) = 1 - 1.5 x 4
Lower Inner Fence (LIF) = 1 - 6
Lower Inner Fence (LIF) = -5

Calculate Upper Inner Fence (UIF):
Upper Inner Fence (UIF) = UQ + 1.5 x IQR
Upper Inner Fence (UIF) = 5 + 1.5 x 4
Upper Inner Fence (UIF) = 5 + 6
Upper Inner Fence (UIF) = 11

Calculate Lower Outer Fence (LOF):
Lower Outer Fence (LOF) = LQ - 3 x IQR
Lower Outer Fence (LOF) = 1 - 3 x 4
Lower Outer Fence (LOF) = 1 - 12
Lower Outer Fence (LOF) = -11

Calculate Upper Outer Fence (UOF):
Upper Outer Fence (UOF) = UQ + 3 x IQR
Upper Outer Fence (UOF) = 5 + 3 x 4
Upper Outer Fence (UOF) = 5 + 12
Upper Outer Fence (UOF) = 17

Calculate Suspect Outliers:
Suspect Outliers are values between the inner and outer fences
We wish to mark all values in our dataset (v) in red below such that -11 < v < -5 and 11 < v < 17
1,3,5

Calculate Highly Suspect Outliers:
Highly Suspect Outliers are values outside the outer fences
We wish to mark all values in our dataset (v) in red below such that v < -11 or v > 17
1,3,5