Find the five-number summary for the data in the histogram shown. 3 2.5 2 1.5 1 0. 1 2 3 4 5 6 7 8 9 10 11 Data Koumba

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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**Problem Statement:**
Find the five-number summary for the data in the histogram shown.

**Description of the Histogram:**

- **X-Axis (Data):** Represents data values ranging from 1 to 11.
- **Y-Axis (Frequency):** Represents the frequency of each data value, ranging from 0 to 3.

**Bars in the Histogram:**

- Data value 1 has a frequency of 1.
- Data values 2 and 3 have a frequency of 0.
- Data value 4 has a frequency of 1.
- Data value 5 has a frequency of 3.
- Data values 6 and 7 have a frequency of 1.
- Data values 8 and 9 have a frequency of 3.
- Data value 10 has a frequency of 2.
- Data value 11 has a frequency of 0.

**Five-Number Summary:**

To calculate the five-number summary, identify:
1. **Minimum:** The smallest data value with a non-zero frequency.
2. **Q1 (First Quartile):** The 25th percentile.
3. **Median (Q2):** The 50th percentile.
4. **Q3 (Third Quartile):** The 75th percentile.
5. **Maximum:** The largest data value with a non-zero frequency. 

This summary helps in understanding the distribution of the data, including the central tendency and variability.
Transcribed Image Text:**Problem Statement:** Find the five-number summary for the data in the histogram shown. **Description of the Histogram:** - **X-Axis (Data):** Represents data values ranging from 1 to 11. - **Y-Axis (Frequency):** Represents the frequency of each data value, ranging from 0 to 3. **Bars in the Histogram:** - Data value 1 has a frequency of 1. - Data values 2 and 3 have a frequency of 0. - Data value 4 has a frequency of 1. - Data value 5 has a frequency of 3. - Data values 6 and 7 have a frequency of 1. - Data values 8 and 9 have a frequency of 3. - Data value 10 has a frequency of 2. - Data value 11 has a frequency of 0. **Five-Number Summary:** To calculate the five-number summary, identify: 1. **Minimum:** The smallest data value with a non-zero frequency. 2. **Q1 (First Quartile):** The 25th percentile. 3. **Median (Q2):** The 50th percentile. 4. **Q3 (Third Quartile):** The 75th percentile. 5. **Maximum:** The largest data value with a non-zero frequency. This summary helps in understanding the distribution of the data, including the central tendency and variability.
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