Based on the relative frequency histogram below, which of the following statements is correct? 0.4 0.3 0.2 0.1 10 20 30 40 O The IQR of the distribution is about 10. The distribution is multimodal. O It is not possible to estimate the median without knowing the sample size. O The mean of the distribution is smaller than its median. O There are no outliers in the distribution. relative frequency
Based on the relative frequency histogram below, which of the following statements is correct? 0.4 0.3 0.2 0.1 10 20 30 40 O The IQR of the distribution is about 10. The distribution is multimodal. O It is not possible to estimate the median without knowing the sample size. O The mean of the distribution is smaller than its median. O There are no outliers in the distribution. relative frequency
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter8: Linear Functions
Section8.6: Writing Linear Equations
Problem 33E
Related questions
Question
![### Understanding Relative Frequency Histograms
In this section, we will explore the concept of relative frequency histograms and their interpretation through a specific example.
#### Histogram Interpretation Example
*Based on the relative frequency histogram below, which of the following statements is correct?*
[Image of Relative Frequency Histogram]
**Histogram Details:**
- **X-Axis (Horizontal):** Ranges from 0 to 40, representing the data values.
- **Y-Axis (Vertical):** Ranges from 0 to 0.4, representing the relative frequency of the data values.
- The histogram contains several bars of varying heights that represent different ranges of data.
- The tallest bar is located in the range of 5 to 10 with a relative frequency peak at approximately 0.35.
#### Explanation of the Options:
1. **The IQR of the distribution is about 10.**
- **IQR (Interquartile Range)** is a measure of statistical dispersion and indicates the range within which the middle 50% of the data lie. It is difficult to precisely determine the IQR from only the histogram without additional data points.
2. **The distribution is multimodal.**
- **Multimodality** indicates the presence of multiple peaks or modes in the data. Observing the histogram, there is more than one peak at various intervals, making this option correct.
3. **It is not possible to estimate the median without knowing the sample size.**
- **Median Estimation** typically does require knowledge of the sample size, but in this context, it can be inferred from the histogram's data distribution.
4. **The mean of the distribution is smaller than its median.**
- **Mean vs. Median** examines the central tendency of the data. The histogram's skewness could suggest whether the mean is smaller than the median; however, further calculation or more data is usually needed for confirmation.
5. **There are no outliers in the distribution.**
- **Outliers** are data points significantly different from others in the dataset. While the histogram appears to have some bars at the tail end, a definitive conclusion regarding outliers requires further statistical analysis.
**Correct Answer:**
- The distribution is multimodal.
This instance emphasizes the importance of correctly interpreting histograms to understand the underlying data distribution efficiently.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F24e60ccc-4ff7-4507-a742-eda9c91adb36%2F57150577-e054-4365-8125-655b3b472127%2F0dju8q8_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Understanding Relative Frequency Histograms
In this section, we will explore the concept of relative frequency histograms and their interpretation through a specific example.
#### Histogram Interpretation Example
*Based on the relative frequency histogram below, which of the following statements is correct?*
[Image of Relative Frequency Histogram]
**Histogram Details:**
- **X-Axis (Horizontal):** Ranges from 0 to 40, representing the data values.
- **Y-Axis (Vertical):** Ranges from 0 to 0.4, representing the relative frequency of the data values.
- The histogram contains several bars of varying heights that represent different ranges of data.
- The tallest bar is located in the range of 5 to 10 with a relative frequency peak at approximately 0.35.
#### Explanation of the Options:
1. **The IQR of the distribution is about 10.**
- **IQR (Interquartile Range)** is a measure of statistical dispersion and indicates the range within which the middle 50% of the data lie. It is difficult to precisely determine the IQR from only the histogram without additional data points.
2. **The distribution is multimodal.**
- **Multimodality** indicates the presence of multiple peaks or modes in the data. Observing the histogram, there is more than one peak at various intervals, making this option correct.
3. **It is not possible to estimate the median without knowing the sample size.**
- **Median Estimation** typically does require knowledge of the sample size, but in this context, it can be inferred from the histogram's data distribution.
4. **The mean of the distribution is smaller than its median.**
- **Mean vs. Median** examines the central tendency of the data. The histogram's skewness could suggest whether the mean is smaller than the median; however, further calculation or more data is usually needed for confirmation.
5. **There are no outliers in the distribution.**
- **Outliers** are data points significantly different from others in the dataset. While the histogram appears to have some bars at the tail end, a definitive conclusion regarding outliers requires further statistical analysis.
**Correct Answer:**
- The distribution is multimodal.
This instance emphasizes the importance of correctly interpreting histograms to understand the underlying data distribution efficiently.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 3 steps
Knowledge Booster
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
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
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…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning