The five number summary of a dataset was found to be: min: 3 Q1:  6 Q2:  10  Q3: 15  max: 20 An observation

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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The five number summary of a dataset was found to be:

min: 3

Q1:  6

Q2:  10

 Q3: 15

 max: 20

An observation is considered an outlier if it is below (find the lower fence):

 

An observation is considered an outlier if it is above (find the upper fence):

 

**Five Number Summary and Outlier Detection**

The five number summary of a dataset was found to be:

- **Minimum (min):** 3
- **First Quartile (Q1):** 6
- **Median (Q2):** 10
- **Third Quartile (Q3):** 15
- **Maximum (max):** 20

**Outlier Detection:**

An observation is considered an outlier if it falls outside a certain range, determined by the calculation of fences:

- **Lower Fence Calculation:**
  An observation is considered an outlier if it is below this value:
  \[
  \text{Lower Fence} = Q1 - 1.5 \times (Q3 - Q1)
  \]

- **Upper Fence Calculation:**
  An observation is considered an outlier if it is above this value:
  \[
  \text{Upper Fence} = Q3 + 1.5 \times (Q3 - Q1)
  \]

**Input Boxes:**
- Enter the calculated lower fence value.
- Enter the calculated upper fence value.

Once you have determined the fences, any data point outside of this range is classified as an outlier.

**[Submit Question Button]**
Transcribed Image Text:**Five Number Summary and Outlier Detection** The five number summary of a dataset was found to be: - **Minimum (min):** 3 - **First Quartile (Q1):** 6 - **Median (Q2):** 10 - **Third Quartile (Q3):** 15 - **Maximum (max):** 20 **Outlier Detection:** An observation is considered an outlier if it falls outside a certain range, determined by the calculation of fences: - **Lower Fence Calculation:** An observation is considered an outlier if it is below this value: \[ \text{Lower Fence} = Q1 - 1.5 \times (Q3 - Q1) \] - **Upper Fence Calculation:** An observation is considered an outlier if it is above this value: \[ \text{Upper Fence} = Q3 + 1.5 \times (Q3 - Q1) \] **Input Boxes:** - Enter the calculated lower fence value. - Enter the calculated upper fence value. Once you have determined the fences, any data point outside of this range is classified as an outlier. **[Submit Question Button]**
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