Which are the better statistics to use to compare the school class sizes? Class Sizes at North Heights HS Class Sizes at Southview HS 10 10- 8. 4 2. 2. 0. 24.26 28 30 32 34 36 38 40 42 44 24 26 28 30 32 34 36 38 40 42 44 Frequency 6. Frequency

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The image contains a multiple-choice question with the following options:

- **A. Median and IQR** (This option is selected)
- **B. Mean and standard deviation**
- **C. Mean and IQR**
- **D. Median and standard deviation**

This is likely part of a statistics or data analysis test or tutorial. The focus is on understanding measures of central tendency and variability, such as the median, mean, interquartile range (IQR), and standard deviation. These concepts are crucial for summarizing and interpreting data sets.
Transcribed Image Text:The image contains a multiple-choice question with the following options: - **A. Median and IQR** (This option is selected) - **B. Mean and standard deviation** - **C. Mean and IQR** - **D. Median and standard deviation** This is likely part of a statistics or data analysis test or tutorial. The focus is on understanding measures of central tendency and variability, such as the median, mean, interquartile range (IQR), and standard deviation. These concepts are crucial for summarizing and interpreting data sets.
**Comparing School Class Sizes: A Statistical Perspective**

When comparing school class sizes, it's crucial to select the most informative statistical measures. Below, you'll find two histograms that depict the distribution of class sizes at two high schools: North Heights High School and Southview High School.

**Histogram Analysis**

1. **Class Sizes at North Heights HS**
   - The histogram ranges from 24 to 44 students per class.
   - The most frequent class size is between 30-32 students, with a frequency of 8.
   - There is a noticeable decrease in frequency as class sizes increase beyond 32, with very few classes over 36 students.

2. **Class Sizes at Southview HS**
   - Similarly, the histogram ranges from 24 to 44 students per class.
   - The most frequent class size is between 28-30 students, also with a frequency of 8.
   - The distribution shows a higher concentration of class sizes in the mid-20s to low-30s, with fewer large classes above 34 students.

**Conclusion**

To effectively compare the school class sizes, consider both the range and the mode of the class sizes in each school. North Heights HS shows a slightly broader range of class sizes with a slightly higher concentration around the 30-32 range. In contrast, Southview HS has a higher frequency of smaller class sizes, concentrated around 28-30 students, indicating differences in how the schools may manage classroom sizes and resources.
Transcribed Image Text:**Comparing School Class Sizes: A Statistical Perspective** When comparing school class sizes, it's crucial to select the most informative statistical measures. Below, you'll find two histograms that depict the distribution of class sizes at two high schools: North Heights High School and Southview High School. **Histogram Analysis** 1. **Class Sizes at North Heights HS** - The histogram ranges from 24 to 44 students per class. - The most frequent class size is between 30-32 students, with a frequency of 8. - There is a noticeable decrease in frequency as class sizes increase beyond 32, with very few classes over 36 students. 2. **Class Sizes at Southview HS** - Similarly, the histogram ranges from 24 to 44 students per class. - The most frequent class size is between 28-30 students, also with a frequency of 8. - The distribution shows a higher concentration of class sizes in the mid-20s to low-30s, with fewer large classes above 34 students. **Conclusion** To effectively compare the school class sizes, consider both the range and the mode of the class sizes in each school. North Heights HS shows a slightly broader range of class sizes with a slightly higher concentration around the 30-32 range. In contrast, Southview HS has a higher frequency of smaller class sizes, concentrated around 28-30 students, indicating differences in how the schools may manage classroom sizes and resources.
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