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.

What is the z-score of the Maha?

- 1.5
- 1.6
- 1.9
- None of the above

Hint:

### z-score is a statistical measure that is used to determine the distance of a raw score from the mean by measuring the standard deviations.

## The correct answer is: 1.5

### Step 1 of 1:

We have given 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.

= 1.5

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

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