Mathematics

Grade10

Easy

Question

# Maha and Arjun are comparing scores on their college entrance exams. Maha’s SAT score is 1400. Arjun’s ACT score is 40. The mean SAT score is 1100 with a standard deviation of 200. The mean ACT score is 20 with a standard deviation of 6.

Who scored better among Maha and Arjun?

- Maha
- Arjun
- Equally scored
- None of the above

## The correct answer is: Arjun

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### Maha and Arjun are comparing scores on their college entrance exams. Maha’s SAT score is 1400. Arjun’s ACT score is 40. The mean SAT score is 1100 with a standard deviation of 200. The mean ACT score is 20 with a standard deviation of 6.

What is the z-score of the Arjun?

The standardization of a random variable Suppose X is a random variable with mean µ and standard deviation σ > 0

### Maha and Arjun are comparing scores on their college entrance exams. Maha’s SAT score is 1400. Arjun’s ACT score is 40. The mean SAT score is 1100 with a standard deviation of 200. The mean ACT score is 20 with a standard deviation of 6.

What is the z-score of the Arjun?

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What is the z-score of the Maha?

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