Select the correct answer. The data set shows the number of hours per week that each student in a class spends studying at home. What is the shape of the distribution for this data set? 1, 2, 2, 3, 3, 3, 4, 4, 4, 4, 5, 5, 5, 6, 6, 7 OA symmetrical OB. uniform OC skewed to the left OD. skewed to the right

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
Question
Select the correct answer. The data set shows the number of hours per week that each student in a class spends studying at home. What is the shape of the distribution for this data set? 1, 2, 2, 3, 3, 3, 4, 4, 4, 4, 5, 5, 5, 6, 6, 7 A. symmetrical B. uniform C. skewed to the left D. skewed to the right
**Understanding Distribution Shapes through Student Study Hours**

**Select the correct answer.**

The data set below shows the number of hours per week that each student in a class spends studying at home. Analyze the data and identify the shape of the distribution.

**Data Set:** 
1, 2, 2, 3, 3, 3, 4, 4, 4, 4, 5, 5, 5, 5, 5, 6, 6, 7

**What is the shape of the distribution for this data set?**

- **A. Symmetrical**
- **B. Uniform**
- **C. Skewed to the left**
- **D. Skewed to the right**

*Graphical Representation:* 
Imagine plotting these data points on a histogram. The frequency of study hours increases from the lower values (1 hour) to the middle values (around 5 hours) and then decreases slightly as we move towards the higher values (7 hours). 

**Explanation of Options:**

- **A. Symmetrical:** A symmetrical distribution forms a mirror image on either side of the center. This means the left and right sides of the histogram are roughly identical in shape and size.

- **B. Uniform:** A uniform distribution means all outcomes are equally likely; in a histogram, all the bars would be of the same height.

- **C. Skewed to the left:** In a left-skewed (or negatively skewed) distribution, the tail on the left side of the histogram is longer or fatter than the right side.

- **D. Skewed to the right:** In a right-skewed (or positively skewed) distribution, the tail on the right side of the histogram is longer or fatter than the left side.

*To visualize, count frequencies:*
- 1 appears 1 time.
- 2 appears 2 times.
- 3 appears 3 times.
- 4 appears 4 times.
- 5 appears 5 times.
- 6 appears 2 times.
- 7 appears 1 time.

The data set peaks at 5, then tapers off, which typically characterizes a right-skewed distribution.

*Answer:* 
Select **D. Skewed to the right**.

**Interactive Options:**
- **Reset Button:** Click to reset your selection.
- **Next Button:** Click
Transcribed Image Text:**Understanding Distribution Shapes through Student Study Hours** **Select the correct answer.** The data set below shows the number of hours per week that each student in a class spends studying at home. Analyze the data and identify the shape of the distribution. **Data Set:** 1, 2, 2, 3, 3, 3, 4, 4, 4, 4, 5, 5, 5, 5, 5, 6, 6, 7 **What is the shape of the distribution for this data set?** - **A. Symmetrical** - **B. Uniform** - **C. Skewed to the left** - **D. Skewed to the right** *Graphical Representation:* Imagine plotting these data points on a histogram. The frequency of study hours increases from the lower values (1 hour) to the middle values (around 5 hours) and then decreases slightly as we move towards the higher values (7 hours). **Explanation of Options:** - **A. Symmetrical:** A symmetrical distribution forms a mirror image on either side of the center. This means the left and right sides of the histogram are roughly identical in shape and size. - **B. Uniform:** A uniform distribution means all outcomes are equally likely; in a histogram, all the bars would be of the same height. - **C. Skewed to the left:** In a left-skewed (or negatively skewed) distribution, the tail on the left side of the histogram is longer or fatter than the right side. - **D. Skewed to the right:** In a right-skewed (or positively skewed) distribution, the tail on the right side of the histogram is longer or fatter than the left side. *To visualize, count frequencies:* - 1 appears 1 time. - 2 appears 2 times. - 3 appears 3 times. - 4 appears 4 times. - 5 appears 5 times. - 6 appears 2 times. - 7 appears 1 time. The data set peaks at 5, then tapers off, which typically characterizes a right-skewed distribution. *Answer:* Select **D. Skewed to the right**. **Interactive Options:** - **Reset Button:** Click to reset your selection. - **Next Button:** Click
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Similar questions
  • SEE MORE QUESTIONS
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