The ages of the patients of a pediatrician were surveyed, summarize and displayed in the box-and-whisker diagram shown in Exhibit 1 Comment on the skewness of this distribution.

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The ages of the patients of a pediatrician were surveyed, summarize and displayed in the box-and-whisker diagram shown in Exhibit 1

Comment on the skewness of this distribution.

The image is a box plot titled "Exhibit 1," depicting the ages of patients. 

**Box Plot Description:**

- **Horizontal Axis (X-axis):** Labelled as "Age of Patient," with values ranging from 25 to 65, incremented by 5.
- **Box Plot Details:**
  - The central box spans from 35 to 50, indicating the interquartile range (IQR).
  - A line inside the box at 45 represents the median age of the patients.
  - Whiskers extend from the box to 30 on the lower end and 55 on the upper end, showing the range of ages within 1.5 times the IQR from the quartiles.
  - Diamond markers at the ends indicate the minimum and maximum ages within this range.

**Educational Context:**
This box plot provides a visual representation of the age distribution among a group of patients, highlighting the median age, spread, and range of data. It is a useful tool for understanding the central tendency and variability within the dataset.
Transcribed Image Text:The image is a box plot titled "Exhibit 1," depicting the ages of patients. **Box Plot Description:** - **Horizontal Axis (X-axis):** Labelled as "Age of Patient," with values ranging from 25 to 65, incremented by 5. - **Box Plot Details:** - The central box spans from 35 to 50, indicating the interquartile range (IQR). - A line inside the box at 45 represents the median age of the patients. - Whiskers extend from the box to 30 on the lower end and 55 on the upper end, showing the range of ages within 1.5 times the IQR from the quartiles. - Diamond markers at the ends indicate the minimum and maximum ages within this range. **Educational Context:** This box plot provides a visual representation of the age distribution among a group of patients, highlighting the median age, spread, and range of data. It is a useful tool for understanding the central tendency and variability within the dataset.
Expert Solution
Step 1

If the difference between Q3 and Q2, Q1 and Q2 are equal, then the distribution is symmetric.

If the difference between Q3 and Q2 is greater Q1 and Q2, then the distribution is right skewed.

If the difference between Q3 and Q2 is less Q1 and Q2, then the distribution is left skewed.

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