the average score for a biology test is 77 and the standard deviation is 8. which percent best represents the probability that any student scored between 61 and 93 on the test?

the average score for a biology test is 77 and the standard deviation is 8 which percent best represents the probability that any student scored between 61 and class=

Respuesta :

Answer:

Lowkey, I am not very sure about this but it is most likely B

Using the Empirical Rule, it is found that the percent best represents the probability that any student scored between 61 and 93 on the test is of:

B. 95%.

What is the Empirical Rule?

It states that, for a normally distributed random variable:

  • Approximately 68% of the measures are within 1 standard deviation of the mean.
  • Approximately 95% of the measures are within 2 standard deviations of  the mean.
  • Approximately 99.7% of the measures are within 3 standard deviations of the mean.

In this problem, the mean is of 77 while the standard deviation is of 8, hence scores between 61 and 93 are exactly 2 standard deviations from the mean, hence 95% of the students scored in this range, and option B is correct.

More can be learned about the Empirical Rule at https://brainly.com/question/24537145