Scores on an accounting exam ranged from 45 to 94. with quartiles Q1= 52.00. Q2=56.5, and Q3= 7775. (a) Select the correct box plot for the given data.

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
### Understanding Box Plots in Exam Score Distribution

**Scores on an accounting exam ranged from 45 to 94, with quartiles Q1 = 52.00, Q2 (median) = 56.5, and Q3 = 77.75.**

#### (a) Select the correct box plot for the given data.

Two box plots, labeled BoxPlot A and BoxPlot B, are presented to visualize the score distribution.

1. **BoxPlot A:**
   - The lower whisker starts at around 45.
   - The box extends from the first quartile (Q1) at 52.
   - The median (Q2) is around 56.5, located near the lower end of the box.
   - The upper quartile (Q3) is around 77.75.
   - The upper whisker extends to around 94.

2. **BoxPlot B:**
   - The lower whisker starts at around 45.
   - The box extends roughly from 65 to 77.75.
   - The median appears to be around 70, within the box.
   - The upper whisker extends to about 94.

Given these quartile values, **BoxPlot A** accurately represents the data presented:

   Q1 = 52.00,
   
   Q2 = 56.5,
   
   Q3 = 77.75.

#### (b) Describe its shape (choose from skewed left, symmetric, skewed right).

The question asks to describe the shape of the box plot distribution based on its skewness.

- **Symmetric Distribution:**
  - The box is evenly divided by the median.
  - Whiskers of similar length on both ends indicate symmetry.

- **Skewed Left (negatively skewed):**
  - The left whisker is substantially longer.
  - Larger spread of data on the lower end.

- **Skewed Right (positively skewed):**
  - The right whisker is substantially longer.
  - Larger spread of data on the higher end.

**Distribution Analysis of BoxPlot A:**

- The median is closer to Q1 than Q3, and the data values are more spread out on the upper end.
- Therefore, the distribution is **skewed right**.

**Answer:**
- Shape: **The distribution is skewed right.**

---
### Navigation Note:
You are currently on
Transcribed Image Text:### Understanding Box Plots in Exam Score Distribution **Scores on an accounting exam ranged from 45 to 94, with quartiles Q1 = 52.00, Q2 (median) = 56.5, and Q3 = 77.75.** #### (a) Select the correct box plot for the given data. Two box plots, labeled BoxPlot A and BoxPlot B, are presented to visualize the score distribution. 1. **BoxPlot A:** - The lower whisker starts at around 45. - The box extends from the first quartile (Q1) at 52. - The median (Q2) is around 56.5, located near the lower end of the box. - The upper quartile (Q3) is around 77.75. - The upper whisker extends to around 94. 2. **BoxPlot B:** - The lower whisker starts at around 45. - The box extends roughly from 65 to 77.75. - The median appears to be around 70, within the box. - The upper whisker extends to about 94. Given these quartile values, **BoxPlot A** accurately represents the data presented: Q1 = 52.00, Q2 = 56.5, Q3 = 77.75. #### (b) Describe its shape (choose from skewed left, symmetric, skewed right). The question asks to describe the shape of the box plot distribution based on its skewness. - **Symmetric Distribution:** - The box is evenly divided by the median. - Whiskers of similar length on both ends indicate symmetry. - **Skewed Left (negatively skewed):** - The left whisker is substantially longer. - Larger spread of data on the lower end. - **Skewed Right (positively skewed):** - The right whisker is substantially longer. - Larger spread of data on the higher end. **Distribution Analysis of BoxPlot A:** - The median is closer to Q1 than Q3, and the data values are more spread out on the upper end. - Therefore, the distribution is **skewed right**. **Answer:** - Shape: **The distribution is skewed right.** --- ### Navigation Note: You are currently on
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 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.
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