The letters A, B, and C are marked on the histogram. Describe the shape of the data. Then determine which is the mean, which is the median, and which is the mode. Justify your answers. Frequency Sick Days Used by Employees A 18 16- 14- 12- 10 8- 6- 4- 2- 10- 7 9 11 13 15 Number of Days Q Q Which description below best describes the shape of the distribution? Skewed left Symmetric Skewed right O Uniform In this distribution, how is the mode determined? OA. The mode cannot be identified. OB. The mode is the data entry that has the lowest frequency. OC. The mean, median, and mode are all equal. OD. The mode is the data entry that has the highest frequency. The mode is labeled In this distribution, how is the mean determined? A. The mean, median, and mode are all equal. s
The letters A, B, and C are marked on the histogram. Describe the shape of the data. Then determine which is the mean, which is the median, and which is the mode. Justify your answers. Frequency Sick Days Used by Employees A 18 16- 14- 12- 10 8- 6- 4- 2- 10- 7 9 11 13 15 Number of Days Q Q Which description below best describes the shape of the distribution? Skewed left Symmetric Skewed right O Uniform In this distribution, how is the mode determined? OA. The mode cannot be identified. OB. The mode is the data entry that has the lowest frequency. OC. The mean, median, and mode are all equal. OD. The mode is the data entry that has the highest frequency. The mode is labeled In this distribution, how is the mean determined? A. The mean, median, and mode are all equal. s
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
100%
The label options are A, B, and C.
Transcribed Image Text:**Histogram Analysis: Sick Days Used by Employees**
The histogram displays the frequency of sick days taken by employees, with the x-axis labeled as "Number of Days" and the y-axis as "Frequency". It shows a range from 1 to 15 days. Bars are plotted representing how many employees took a corresponding number of sick days.
**Data Points:**
- **A, B, and C** are points marked on the histogram indicating significant statistical measures to be identified.
- The distribution appears to be **skewed left**, suggesting the mean is typically less than the median due to fewer employees taking a lower number of days off.
**Statistical Measures:**
- **Mode**: This is the data entry with the highest frequency of occurrences, identified as 11 days (represented by a specific frequency bar peaking higher than others).
- **Median**: Middle value when the data is arranged in order, less impacted by skewness as compared to the mean.
- **Mean**: The average number of sick days, calculated by summing all data values and dividing by the number of data points, typically located to the left of the median in a left-skewed distribution.
**Questions and Options:**
1. **Which description below best describes the shape of the distribution?**
- Skewed left
- Symmetric
- Skewed right
- Uniform
2. **In this distribution, how is the mode determined?**
- The mode cannot be identified.
- The mode is the data entry that has the lowest frequency.
- The mean, median, and mode are all equal.
- The mode is the data entry that has the highest frequency.
3. **In this distribution, how is the mean determined?**
- The mean, median, and mode are all equal.
- The mean is to the left of the median and mode.
- The mean is to the right of the median and mode.
This histogram provides insights into employee sick day patterns, useful for understanding attendance behaviors and planning resource needs effectively.
![**Title: Understanding Data Distributions and Central Tendencies**
**Histogram Analysis: Sick Days Used by Employees**
The histogram displayed illustrates the distribution of sick days used by employees, with the number of days on the x-axis and frequency on the y-axis. Three markers, labeled A, B, and C, are indicated on the histogram.
**Objective:**
- Describe the shape of the data.
- Identify the mean, median, and mode.
- Justify your answers.
**Instructions:**
1. **Data Description:**
Examine the histogram to understand the data's distribution shape.
2. **Mean, Median, and Mode:**
- The mode is defined as the data entry with the highest frequency.
- Select which marker (A, B, or C) represents the mode.
- Determine if the mean is to the left or right of the median and mode.
**Questions and Options:**
1. **How is the mode determined?**
Choose from:
- (A) The mode, mean, and median are all equal.
- (B) The mode cannot be identified.
- (C) The mode is the data entry with the highest frequency.
- (D) The mode is labeled [Dropdown option for A, B, or C].
2. **How is the mean determined?**
Choose from:
- (A) The mean, median, and mode are all equal.
- (B) The mean is to the left of the median and mode.
- (C) The mean is to the right of the median and mode.
- (D) The mean cannot be identified.
- The mean is labeled [Dropdown option for A, B, or C].
3. **How is the median determined?**
Choose from:
- (A) The mean, median, and mode are all equal.
- (B) The median cannot be identified.
- (C) The median is to the left of the mean and to the right of the mode.
- (D) The median is to the right of the mean and to the left of the mode.
- The median is labeled [Dropdown option for A, B, or C].
Each selection requires justification based on the histogram analysis.
**Graph Details:**
- The histogram bars represent intervals of sick days ranging from 1 to 15.
- The y-axis reflects the frequency of occurrences within each](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd6158d43-334d-4161-8a0f-ff9657025746%2F05c12ad9-b458-4862-9907-d99ede535362%2Fp34bmh4q_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Title: Understanding Data Distributions and Central Tendencies**
**Histogram Analysis: Sick Days Used by Employees**
The histogram displayed illustrates the distribution of sick days used by employees, with the number of days on the x-axis and frequency on the y-axis. Three markers, labeled A, B, and C, are indicated on the histogram.
**Objective:**
- Describe the shape of the data.
- Identify the mean, median, and mode.
- Justify your answers.
**Instructions:**
1. **Data Description:**
Examine the histogram to understand the data's distribution shape.
2. **Mean, Median, and Mode:**
- The mode is defined as the data entry with the highest frequency.
- Select which marker (A, B, or C) represents the mode.
- Determine if the mean is to the left or right of the median and mode.
**Questions and Options:**
1. **How is the mode determined?**
Choose from:
- (A) The mode, mean, and median are all equal.
- (B) The mode cannot be identified.
- (C) The mode is the data entry with the highest frequency.
- (D) The mode is labeled [Dropdown option for A, B, or C].
2. **How is the mean determined?**
Choose from:
- (A) The mean, median, and mode are all equal.
- (B) The mean is to the left of the median and mode.
- (C) The mean is to the right of the median and mode.
- (D) The mean cannot be identified.
- The mean is labeled [Dropdown option for A, B, or C].
3. **How is the median determined?**
Choose from:
- (A) The mean, median, and mode are all equal.
- (B) The median cannot be identified.
- (C) The median is to the left of the mean and to the right of the mode.
- (D) The median is to the right of the mean and to the left of the mode.
- The median is labeled [Dropdown option for A, B, or C].
Each selection requires justification based on the histogram analysis.
**Graph Details:**
- The histogram bars represent intervals of sick days ranging from 1 to 15.
- The y-axis reflects the frequency of occurrences within each
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 5 steps
Recommended textbooks for you
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
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
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
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
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
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
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman