The points obtained by students of a class in a test are normally distributed with a mean of 60 points and a standard deviation

Question

marta [7]

4 years ago

6

The points obtained by students of a class in a test are normally distributed with a mean of 60 points and a standard deviation

of 5 points. About what percent of students have scored between 60 and 65 points?

Mathematics

2 answers:

8_murik_8 [283] · Answer 1 · 2021-11-15T22:29:48+03:00

Answer:

34%

Step-by-step explanation:

Using Empirical Rule (68 - 95 - 99.7 Rule), 68% of the data lies in between 1 standard deivation from the mean so since you are not doing 55 to 65 and instead 60 to 65, you divide 68 by 2 and you get 34%.

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Shalnov [3] · Answer 2 · 2021-11-15T23:45:59+03:00

Answer: The percent of students have scored between 60 and 65 points is 34.13%

Step-by-step explanation:

Given : The points obtained by students of a class in a test are normally distributed with a mean of 60 points and a standard deviation of 5 points.

i.e. $\mu=60\ \ \ \sigma=5$

Let x denotes the points obtained by students of a class in a test .

Now , the probability that the students have scored between 60 and 65 points :-

$P(60$

$=34.13\%$

Hence, the percent of students have scored between 60 and 65 points is 34.13%.