board-Home X O Mail - Gary, Windy X Welcome to the So x PTC Pathway | Logir x McGraw-Hill Conne X Welcome to the c CO www-awu.connectmath.com/alekscgi/x/lsl.exe/1o_u-IgNslkr7j8P3jH-IQiucBg67JjQRhoz9hcTVPOHqG1jTqacFqF-hmOk5pbrZFLOVGZZ siis Sign in to your acco.... Welcome to Applic... Mat 120 - 04 Me Graw Hill connect™ Elementary Statistics: A Step-By-Step Approach Enhanced, 10th IMATH eBook Hosted by ALEKS Corp. Homework 3.4 1 2 3 Question 2 of 3 (1 point) Attempt 2 of Unlimited View question in a popup 3.4 Section Exercins 4 Using the given data, find the following. 216, 150, 288, 399, 138, 239, 236, 295, 168, 495, 409 Send data to Excel Part: 0 / 2 Part 1 of 2 Identify the five-number summary. Round your answers to one decimal place as needed. 181.6, MD 239, Q3= 377.5, High = 495 23 X = Low== 138, Q1 181.6 4 Try again Skip Part Recheck Answer 0 Birth: 2004-Present Death: 2005-Present erta Type here to search 9 943-2552 Et a et 102.7FM 1090 Am 3 Save For Later Submit Assignment © 2022 McGraw Hill LLC. All Rights Reserved Terms of Use | Privacy Center VITAL RECORDS VR24001-0 VR24002-4 Environmental 227-5915 VR240044 ADHE BIRTH/DEATH CERTIFICATE/VERIFICATION BIRTH/DEATH ADDITIONAL COPIES AFFIDAVIT/DELAY/LEGIT/PARET AFFID 3:09 PM FER

MATLAB: An Introduction with Applications
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How do you find q1 and q3
**Course: Elementary Statistics: A Step-By-Step Approach Enhanced 10th Edition**
**Platform: McGraw-Hill Connect Math**

**Homework Assignment: 3.4**

**Question 2 of 3**
_Attempt 2 of Unlimited_

---

**Instructions:**

**Given Data:**

```
216, 150, 288, 399, 138, 239, 236, 295, 168, 495, 409
```

**Task:**

Identify the five-number summary. Round your answers to one decimal place as needed.

**Five-Number Summary:**

- **Low:** 138
- **Q₁:** 181.6
- **MD (Median):** 239
- **Q₃:** 377.5
- **High:** 495

The system provides options to "Recheck Answer" and "Try Again" if needed, and the answers can be saved for later submission.

---

**Explanation of Task:**

The student is required to find the five-number summary for the given set of data points. The five-number summary consists of the following components, which must be identified and provided:

1. **Low (Minimum Value):** The smallest value in the data set.
2. **Q₁ (First Quartile):** The median of the first half of the data set.
3. **MD (Median):** The middle value of the data set.
4. **Q₃ (Third Quartile):** The median of the second half of the data set.
5. **High (Maximum Value):** The largest value in the data set.

The answers are to be rounded to one decimal place if necessary and submitted through the Connect Math platform.

---

**How to Find the Five-Number Summary:**

1. **Sort the Data Set:**
   Arrange the data points from smallest to largest.
2. **Identify the Minimum and Maximum Values:**
   - Minimum (Low)
   - Maximum (High)
3. **Determine the Median (MD):**
   This is the middle value when the data set is ordered.
4. **Calculate Q₁:**
   Find the median of the lower half of the data set (excluding the median if the number of observations is odd).
5. **Calculate Q₃:**
   Find the median of the upper half of the data set (excluding the median if the number of observations is odd).
Transcribed Image Text:**Course: Elementary Statistics: A Step-By-Step Approach Enhanced 10th Edition** **Platform: McGraw-Hill Connect Math** **Homework Assignment: 3.4** **Question 2 of 3** _Attempt 2 of Unlimited_ --- **Instructions:** **Given Data:** ``` 216, 150, 288, 399, 138, 239, 236, 295, 168, 495, 409 ``` **Task:** Identify the five-number summary. Round your answers to one decimal place as needed. **Five-Number Summary:** - **Low:** 138 - **Q₁:** 181.6 - **MD (Median):** 239 - **Q₃:** 377.5 - **High:** 495 The system provides options to "Recheck Answer" and "Try Again" if needed, and the answers can be saved for later submission. --- **Explanation of Task:** The student is required to find the five-number summary for the given set of data points. The five-number summary consists of the following components, which must be identified and provided: 1. **Low (Minimum Value):** The smallest value in the data set. 2. **Q₁ (First Quartile):** The median of the first half of the data set. 3. **MD (Median):** The middle value of the data set. 4. **Q₃ (Third Quartile):** The median of the second half of the data set. 5. **High (Maximum Value):** The largest value in the data set. The answers are to be rounded to one decimal place if necessary and submitted through the Connect Math platform. --- **How to Find the Five-Number Summary:** 1. **Sort the Data Set:** Arrange the data points from smallest to largest. 2. **Identify the Minimum and Maximum Values:** - Minimum (Low) - Maximum (High) 3. **Determine the Median (MD):** This is the middle value when the data set is ordered. 4. **Calculate Q₁:** Find the median of the lower half of the data set (excluding the median if the number of observations is odd). 5. **Calculate Q₃:** Find the median of the upper half of the data set (excluding the median if the number of observations is odd).
**Elementary Statistics: A Step-By-Step Approach - Enhanced Edition**

### Homework 3.4

#### Question 2 of 3 (1 point)
**Attempt 2 of Unlimited**

**Using the given data, find the following:**

Data Set: 216, 150, 288, 399, 138, 239, 236, 295, 168, 495, 409

#### Part 0/2

**Part 1 of 2**

**Identify the five-number summary. Round your answers to one decimal place as needed.**
- **Low**: 138
- **Q1**: 181.6
- **MD (Median)**: 239
- **Q3**: 377.5
- **High**: 495

#### Action Buttons:
- **Send data to Excel**
- **Skip Part**
- **Recheck Answer**
- **Try Again**
- **Save for Later**
- **Submit Assignment**

*Note:* Ensure to follow the guidelines and formulas when calculating the five-number summary, involving the minimum, first quartile (Q1), median, third quartile (Q3), and maximum.

**Five-Number Summary**
1. **Minimum (Low)**: The smallest number in the data set.
2. **First Quartile (Q1)**: The median of the first half of the data set.
3. **Median (MD)**: The middle value of the data set.
4. **Third Quartile (Q3)**: The median of the second half of the data set.
5. **Maximum (High)**: The largest number in the data set.

This summary provides a clear view of the distribution and spread of your data set, essential in statistical analysis.

---

*This exercise helps reinforce understanding and application of the five-number summary, a foundational concept in descriptive statistics.*
Transcribed Image Text:**Elementary Statistics: A Step-By-Step Approach - Enhanced Edition** ### Homework 3.4 #### Question 2 of 3 (1 point) **Attempt 2 of Unlimited** **Using the given data, find the following:** Data Set: 216, 150, 288, 399, 138, 239, 236, 295, 168, 495, 409 #### Part 0/2 **Part 1 of 2** **Identify the five-number summary. Round your answers to one decimal place as needed.** - **Low**: 138 - **Q1**: 181.6 - **MD (Median)**: 239 - **Q3**: 377.5 - **High**: 495 #### Action Buttons: - **Send data to Excel** - **Skip Part** - **Recheck Answer** - **Try Again** - **Save for Later** - **Submit Assignment** *Note:* Ensure to follow the guidelines and formulas when calculating the five-number summary, involving the minimum, first quartile (Q1), median, third quartile (Q3), and maximum. **Five-Number Summary** 1. **Minimum (Low)**: The smallest number in the data set. 2. **First Quartile (Q1)**: The median of the first half of the data set. 3. **Median (MD)**: The middle value of the data set. 4. **Third Quartile (Q3)**: The median of the second half of the data set. 5. **Maximum (High)**: The largest number in the data set. This summary provides a clear view of the distribution and spread of your data set, essential in statistical analysis. --- *This exercise helps reinforce understanding and application of the five-number summary, a foundational concept in descriptive statistics.*
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