Here are yesterday's high temperatures (in Fahrenheit) in 17 U.S. cities. 52, 53, 54, 55, 56, 57, 58, 59, 60, 64, 68, 68, 69, 69, 75, 77, 80. Notice that the temperatures are ordered from least to greatest. Make a box-and-whisker plot for the data. 55 60 65 70 75 80 50 Temperature

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### High Temperatures in U.S. Cities

Here are yesterday's high temperatures (in Fahrenheit) in 17 U.S. cities:

52, 53, 54, 55, 56, 57, 58, 59, 60, 64, 68, 69, 69, 75, 77, 80.

Notice that the temperatures are ordered from least to greatest.

Make a box-and-whisker plot for the data.

### Explanation of the Box-and-Whisker Plot

A box-and-whisker plot has been provided for the above data, which visualizes the distribution of temperatures. Here’s a detailed breakdown:

1. **Box-and-Whisker Plot Components**:
    - **Whiskers**: The horizontal lines extending from the box represent the range of the data.
    - **Box**: This section, typically encompassing 50% of the data (from Q1 to Q3), is divided into two halves by a vertical line at the median. 
    - **Median (Q2)**: The vertical line inside the box represents the median of the data.
    - **First Quartile (Q1) and Third Quartile (Q3)**: The edges of the box mark the first and third quartiles, respectively.

2. **Detailed Analysis**:
    - The **lower whisker** extends to the minimum value (52).
    - The **upper whisker** extends to the maximum value (80).
    - The **box** starts at the first quartile (Q1) and ends at the third quartile (Q3).
    - The **line inside the box** indicates the median value of the data set (64).
    - The positions of the first and third quartiles (approximately at 56 and 69, respectively) show where the middle 50% of the data lies.

3. **X-Axis (Temperature)**:
    - The x-axis is labeled "Temperature" and ranges from 50 to 80, in increments of 5.

This plot allows easy identification of the median, the range, and the interquartile range of the temperatures. It serves as a useful tool to quickly ascertain the spread and central tendency of the data.
Transcribed Image Text:### High Temperatures in U.S. Cities Here are yesterday's high temperatures (in Fahrenheit) in 17 U.S. cities: 52, 53, 54, 55, 56, 57, 58, 59, 60, 64, 68, 69, 69, 75, 77, 80. Notice that the temperatures are ordered from least to greatest. Make a box-and-whisker plot for the data. ### Explanation of the Box-and-Whisker Plot A box-and-whisker plot has been provided for the above data, which visualizes the distribution of temperatures. Here’s a detailed breakdown: 1. **Box-and-Whisker Plot Components**: - **Whiskers**: The horizontal lines extending from the box represent the range of the data. - **Box**: This section, typically encompassing 50% of the data (from Q1 to Q3), is divided into two halves by a vertical line at the median. - **Median (Q2)**: The vertical line inside the box represents the median of the data. - **First Quartile (Q1) and Third Quartile (Q3)**: The edges of the box mark the first and third quartiles, respectively. 2. **Detailed Analysis**: - The **lower whisker** extends to the minimum value (52). - The **upper whisker** extends to the maximum value (80). - The **box** starts at the first quartile (Q1) and ends at the third quartile (Q3). - The **line inside the box** indicates the median value of the data set (64). - The positions of the first and third quartiles (approximately at 56 and 69, respectively) show where the middle 50% of the data lies. 3. **X-Axis (Temperature)**: - The x-axis is labeled "Temperature" and ranges from 50 to 80, in increments of 5. This plot allows easy identification of the median, the range, and the interquartile range of the temperatures. It serves as a useful tool to quickly ascertain the spread and central tendency of the data.
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