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Paha777 [63]
3 years ago
5

Assume that a set of test scores is normally distributed with a mean of 70 and a standard deviation of 10. In what percentile is

a score of 65?
1. 95th
2. 79th
3. 46th
4. 30th
Mathematics
1 answer:
vlabodo [156]3 years ago
3 0
Given:
μ = 70, the mean
σ = 10, the standard deviation

The random variable is x = 65.
Calculate the z-score.
z = (x - μ)/σ = (65 -70)/10 = - 0.5

From standard ables, obtain
P(x<5) = 0.3085 ≈ 30%
The score of 65 is in the 30th percentile.

Answer: 30th
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