The data show the number of vacation days used by the sample of 20 employees in a recent year. Use tech to answer parts a and b. A.) find the data set’s first, second, third quartile. B.) draw a box and whisker plot that represents the data set. 3,8,9,5,3,10,7,9,7,5,7,7,3,3,7,7,8,5,8,2

A.) The quartiles for the given data set are:
- First quartile (Q1): 4.5
- Second quartile (Q2/median): 7.0
- Third quartile (Q3): 8.0

B.) The box and whisker plot above visually represents the distribution of the vacation days used by the 20 employees.

Would you like further details or have any questions? Here are 5 related questions to deepen your understanding:

1. How are quartiles calculated, and what do they represent in a dataset?
2. What can we infer about the data's spread and outliers from the box plot?
3. How does the median help understand the central tendency of this data?
4. What is the significance of the interquartile range (IQR), and how is it calculated?
5. How would you calculate and interpret any outliers using this data set?

**Tip:** Quartiles divide your data into four equal parts, helping you understand the spread and skewness of your data.

Learn how to calculate the first, second, and third quartiles and create a box and whisker plot using a sample data set of 20 employees' vacation days. This problem covers core statistical concepts such as quartile calculation and visual representation using a box plot, suitable for Grades 8-10.

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