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Part 1

The data show the number of vacation days used by a sample of

2020

employees in a recent year. Use technology to answer parts​ (a) and​ (b).

**a.** Find the data​ set's first,​ second, and third quartiles.

**b.** Draw a​ box-and-whisker plot that represents the data set.

3 8 9 9 3 2 7 1 2 0 1 3 5 7 6 10 4 9 6 73   8   9   9   3   2   7   1   2   0   1   3   5   7   6   10   4   9   6   7

Question content area bottom

Part 1

**a.** Find the three quartiles.

The box-and-whisker plot above represents the distribution of the number of vacation days used by employees. It visualizes the minimum, first quartile (Q1), median (Q2), third quartile (Q3), and maximum values of the data set.

Would you like more details or further clarifications? Here are some related questions:

1. How do you interpret a box-and-whisker plot in terms of data distribution?
2. What are outliers, and how can they be identified using a box plot?
3. Why are quartiles important in understanding the spread of a dataset?
4. How is the interquartile range (IQR) calculated, and why is it significant?
5. Can a box plot show skewness in the data? How would that appear?

**Tip:** The interquartile range (IQR) is a useful measure to detect outliers by determining values that fall beyond 1.5 times the IQR from the quartiles.

The data show the number of vacation days used by a sample of 2020 employees in a recent year. Use technology to answer parts​ (a) and (b).

 a. Find the data set's first, second, and third quartiles.

 b. Draw a box-and-whisker plot that represents the data set.

 3 8 9 9 3 2 7 1 2 0 1 3 5 7 6 10 4 9 6 7

Analyze a sample of vacation days used by employees by finding the first, second, and third quartiles. Learn how to represent the data using a box-and-whisker plot. This statistical problem includes calculating quartiles and understanding box plot distribution. Suitable for Grades 9-12.

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