For the dataset below, do a complete box-and-line plot analysis. 3 15 18 19 23 23 26 27 28 29 50 Your work must include: Quartiles: Q1, Q2, Q3 Interquartile range (IQR) Upper Limit Lower Limit Adjacent Values Outliers. If you have outliers, you must explain why they are outliers.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 4CYU
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**Box-and-Line Plot Analysis Guide**

For the dataset below, perform a thorough box-and-line plot analysis:

Dataset: 3, 15, 18, 19, 23, 23, 26, 27, 28, 29, 50

**Your analysis should include:**

1. **Quartiles:** Determine Q1 (first quartile), Q2 (median), and Q3 (third quartile).

2. **Interquartile Range (IQR):** Calculate the IQR, which is the difference between Q3 and Q1.

3. **Upper Limit and Lower Limit:** Calculate these limits to identify potential outliers using the formulas:
   - Upper Limit = Q3 + 1.5 * IQR
   - Lower Limit = Q1 - 1.5 * IQR

4. **Adjacent Values:** Identify the minimum and maximum values within the calculated limits.

5. **Outliers:** Identify any outliers. If outliers exist, provide an explanation as to why they are considered outliers.

**Visual Representation:**

Don’t forget to draw the box-and-line plot to illustrate your findings clearly.

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Transcribed Image Text:--- **Box-and-Line Plot Analysis Guide** For the dataset below, perform a thorough box-and-line plot analysis: Dataset: 3, 15, 18, 19, 23, 23, 26, 27, 28, 29, 50 **Your analysis should include:** 1. **Quartiles:** Determine Q1 (first quartile), Q2 (median), and Q3 (third quartile). 2. **Interquartile Range (IQR):** Calculate the IQR, which is the difference between Q3 and Q1. 3. **Upper Limit and Lower Limit:** Calculate these limits to identify potential outliers using the formulas: - Upper Limit = Q3 + 1.5 * IQR - Lower Limit = Q1 - 1.5 * IQR 4. **Adjacent Values:** Identify the minimum and maximum values within the calculated limits. 5. **Outliers:** Identify any outliers. If outliers exist, provide an explanation as to why they are considered outliers. **Visual Representation:** Don’t forget to draw the box-and-line plot to illustrate your findings clearly. ---
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