Which statement correctly compares the spreads of the distributions? Class Sizes at East Valley HS Class Sizes at Northview HS 10 10 8. 8. 0. 14 16 18 20 22 24 26 28 30 32 0. 14 16 18 20 22 24 26 28 30 32 Frequency 4. Frequency

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### Comparing Class Size Distributions at Two High Schools

This set of graphs compares class sizes at East Valley High School (HS) and Northview High School (HS). Each bar on the histogram represents the frequency of classes within certain size ranges.

#### Graph Details:

**Class Sizes at East Valley HS:**
- The class sizes range from 18 to 30 students.
- Most classes have sizes between 20 and 22 students, with the highest frequency (around 9 classes) in this range.
- Fewer classes fall in the size ranges below 20 or above 24.

**Class Sizes at Northview HS:**
- Similarly, class sizes range from 14 to 28 students.
- The most common class size is between 20 and 22 students, with about 8 classes.
- The spread of class sizes is slightly wider, with more variation seen at the lower class sizes compared to East Valley HS.

#### Analysis:

When comparing the spreads of these distributions, East Valley HS shows a slightly more concentrated cluster of class sizes around the middle values (20-22), whereas Northview HS has a slightly wider spread, including smaller class sizes starting from 14. The overall shapes of the distributions appear similar, but with Northview HS having a tendency for slightly more dispersion in class sizes.
Transcribed Image Text:### Comparing Class Size Distributions at Two High Schools This set of graphs compares class sizes at East Valley High School (HS) and Northview High School (HS). Each bar on the histogram represents the frequency of classes within certain size ranges. #### Graph Details: **Class Sizes at East Valley HS:** - The class sizes range from 18 to 30 students. - Most classes have sizes between 20 and 22 students, with the highest frequency (around 9 classes) in this range. - Fewer classes fall in the size ranges below 20 or above 24. **Class Sizes at Northview HS:** - Similarly, class sizes range from 14 to 28 students. - The most common class size is between 20 and 22 students, with about 8 classes. - The spread of class sizes is slightly wider, with more variation seen at the lower class sizes compared to East Valley HS. #### Analysis: When comparing the spreads of these distributions, East Valley HS shows a slightly more concentrated cluster of class sizes around the middle values (20-22), whereas Northview HS has a slightly wider spread, including smaller class sizes starting from 14. The overall shapes of the distributions appear similar, but with Northview HS having a tendency for slightly more dispersion in class sizes.
**Question:**

Determine the relationship between the data sets of Northview High School (HS) and East Valley High School (HS).

**Options:**

- **A.** The range of Northview HS is greater than the range of East Valley HS.
- **B.** The mode of Northview HS is greater than the mode of East Valley HS.
- **C.** The ranges of East Valley HS and Northview HS are the same.
- **D.** The range of East Valley HS is greater than the range of Northview HS.

**Instructions:**

Analyze the data presented to find out which statement is correct regarding the statistical measures of the two schools.
Transcribed Image Text:**Question:** Determine the relationship between the data sets of Northview High School (HS) and East Valley High School (HS). **Options:** - **A.** The range of Northview HS is greater than the range of East Valley HS. - **B.** The mode of Northview HS is greater than the mode of East Valley HS. - **C.** The ranges of East Valley HS and Northview HS are the same. - **D.** The range of East Valley HS is greater than the range of Northview HS. **Instructions:** Analyze the data presented to find out which statement is correct regarding the statistical measures of the two schools.
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