Homework Help is Here – Start Your Trial Now!
Math
Statistics
Determine whether the approximate shape of the distribution in the histogram is symmetric, uniform, skewed left, skewed right, or none of these. 20- 18- 16- 14- 12- 10- 8 6 4 2 25,000 45,000 65,000 85,000

Determine whether the approximate shape of the distribution in the histogram is symmetric, uniform, skewed left, skewed right, or none of these. 20- 18- 16- 14- 12- 10- 8 6 4 2 25,000 45,000 65,000 85,000

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 4CYU
See similar textbooks
icon
Related questions
Question
### Understanding Distribution Shapes in Histograms #### Educational Resource **Topic: Histogram Shape Analysis** Evaluate the approximate shape of the distribution in the given histogram. The options to consider for the shape are: - Symmetric - Uniform - Skewed Left - Skewed Right - None of These **Graph Explanation** The accompanying histogram illustrates the frequency distribution of data across different ranges. The x-axis represents the data ranges (25,000, 45,000, 65,000, 85,000), and the y-axis represents the frequency of occurrences (ranging from 0 to 20). - The first bar, corresponding to the range 25,000, has the highest frequency, reaching up to 18. - The second bar, corresponding to the range 45,000, has a frequency of approximately 15. - The frequency continues to decrease with the subsequent bars for the ranges 65,000 and 85,000, which have frequencies of approximately 9 and 6, respectively. **Analysis Objective** Determine whether the approximate shape of the data distribution in the histogram is: - **Symmetric**: When the left and right sides of the histogram are approximate mirror images. - **Uniform**: When all bars are roughly the same height. - **Skewed Left** (Negatively Skewed): When the histogram's tail extends more towards the left side. - **Skewed Right** (Positively Skewed): When the histogram's tail extends more towards the right side. - **None of These**: If the histogram does not fit any of the above descriptions. **Visual Observations and Conclusion** The histogram displays a pattern where the frequency is highest at the lower end (25,000) and gradually decreases as the value increases. This pattern shows a tail extending towards the right side of the histogram. Thus, the data distribution appears to be **skewed right**. --- By understanding the shape of the distribution, data analysts can gain insights into the underlying trends and patterns within the data set, which is crucial for making informed decisions and interpretations.
Transcribed Image Text:### Understanding Distribution Shapes in Histograms #### Educational Resource **Topic: Histogram Shape Analysis** Evaluate the approximate shape of the distribution in the given histogram. The options to consider for the shape are: - Symmetric - Uniform - Skewed Left - Skewed Right - None of These **Graph Explanation** The accompanying histogram illustrates the frequency distribution of data across different ranges. The x-axis represents the data ranges (25,000, 45,000, 65,000, 85,000), and the y-axis represents the frequency of occurrences (ranging from 0 to 20). - The first bar, corresponding to the range 25,000, has the highest frequency, reaching up to 18. - The second bar, corresponding to the range 45,000, has a frequency of approximately 15. - The frequency continues to decrease with the subsequent bars for the ranges 65,000 and 85,000, which have frequencies of approximately 9 and 6, respectively. **Analysis Objective** Determine whether the approximate shape of the data distribution in the histogram is: - **Symmetric**: When the left and right sides of the histogram are approximate mirror images. - **Uniform**: When all bars are roughly the same height. - **Skewed Left** (Negatively Skewed): When the histogram's tail extends more towards the left side. - **Skewed Right** (Positively Skewed): When the histogram's tail extends more towards the right side. - **None of These**: If the histogram does not fit any of the above descriptions. **Visual Observations and Conclusion** The histogram displays a pattern where the frequency is highest at the lower end (25,000) and gradually decreases as the value increases. This pattern shows a tail extending towards the right side of the histogram. Thus, the data distribution appears to be **skewed right**. --- By understanding the shape of the distribution, data analysts can gain insights into the underlying trends and patterns within the data set, which is crucial for making informed decisions and interpretations.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt
Holt Mcdougal Larson Pre-algebra: Student Edition…
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
SEE MORE TEXTBOOKS