High School

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Compare the arm spans, in centimeters, for two classes.

Which statement is true about the proportion of arm spans that are longer than 170 cm?

A. The proportion of arm spans that are longer than 170 cm is higher in Class B than in Class A.
B. The proportion of arm spans that are longer than 170 cm is higher in Class A than in Class B.
C. The proportion of arm spans that are longer than 170 cm is about the same for Class A and Class B.
D. The proportion of arm spans that are longer than 170 cm cannot be compared with the given information.

Answer :

To solve the problem of comparing the proportion of arm spans longer than 170 cm in two classes, we'll go through the process step-by-step.

### Step 1: Identify the Data
- Class A:
- Number of arm spans longer than 170 cm: 12
- Total number of students: 30

- Class B:
- Number of arm spans longer than 170 cm: 15
- Total number of students: 40

### Step 2: Calculate the Proportion for Each Class
- Proportion for Class A:
- Proportion = (Number of arm spans longer than 170 cm) / (Total number of students)
- Proportion for Class A = 12 / 30 = 0.4

- Proportion for Class B:
- Proportion = (Number of arm spans longer than 170 cm) / (Total number of students)
- Proportion for Class B = 15 / 40 = 0.375

### Step 3: Compare the Proportions
- Class A's proportion of 0.4 is higher than Class B's proportion of 0.375.

### Conclusion
- The proportion of arm spans that are longer than 170 cm is higher in Class A than in Class B.

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