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
Section: Chapter Questions
Problem 1P
icon
Related questions
icon
Concept explainers
Topic Video
Question
**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.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 5 steps

Blurred answer
Knowledge Booster
Centre, Spread, and Shape of a Distribution
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman