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SVEN [57.7K]
3 years ago
11

A large group of students took a test in Physics and the final grades have a mean of 70 and a standard deviation of 10. If we ca

n approximate the distribution of these grades by a normal distribution, between what two scores of the test in the middle 95%?
Mathematics
1 answer:
Sholpan [36]3 years ago
4 0

Answer:

The scores are between 50 and 90

Step-by-step explanation:

When we say middle 95%, we means that this value falls between 2 standard deviations of the mean i.e

μ ± 2σ

Hence,

mean of 70 and a standard deviation of 10

μ ± 2σ

μ - 2σ

70 - (2 × 10)

= 70 - 20

= 50

μ + 2σ

= 70 + (2 × 10)

= 70 + 20

= 90

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