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The stem-and-leaf plot in the image represents the number of laps practiced by a runner over 30 days. The leaf unit is 1, meaning each "leaf" digit represents individual units of laps. To determine the **third quartile (Q3)**, we follow these steps:

1. **Order the data**: The stem-and-leaf plot is already in order, with each number representing the laps. Extracting the numbers from the plot:
   
   \[ 20, 20, 45, 45, 48, 49, 50, 51, 51, 52, 54, 54, 54, 55, 56, 56, 56, 57, 57, 57, 58, 58, 58, 58, 58, 59, 60, 62, 63, 63 \]

2. **Find the third quartile (Q3)**:
   - The third quartile is the median of the upper half of the data.
   - The total number of data points is 30, so the median is at the 15th and 16th positions. 
   - The upper half of the data includes the values from the 16th to the 30th data points: \[56, 56, 57, 57, 57, 58, 58, 58, 58, 58, 59, 60, 62, 63, 63\].
   - The median of this upper half (third quartile) is the 8th value, which is **58**.

Therefore, the value of the third quartile \( Q_3 \) is **58 laps**.

Would you like more details or further explanation? Here are some follow-up questions you might find useful:

1. What is the first quartile \(Q_1\) for this data set?
2. How is the median (second quartile) calculated from this stem-and-leaf plot?
3. Can you explain how to interpret a stem-and-leaf plot?
4. How do quartiles help in understanding the spread of data?
5. How would you calculate the interquartile range (IQR) for this data?

**Tip:** When interpreting quartiles, remember that they divide your data set into four equal parts, providing insight into the distribution's spread and central tendencies.

A 400 m runner training for the Olympics recorded the number of laps he practiced each day for thirty days. The numbers of laps recorded each day were shown below in a stem-and-leaf plot. What is the value of the third quartile?

Learn how to calculate the third quartile (Q3) from a stem-and-leaf plot showing the number of laps a runner practiced each day over 30 days. The data points are arranged, and the third quartile value is calculated as 58 laps. Suitable for Grades 10-12 students learning about statistics and data analysis.

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