120k views
4 votes
Select the correct answer from each drop-down menu. The scores of eighth-grade students in a math test are normally distributed with a mean of 57.5 and a standard deviation of 6.5. From this data, we can conclude that 68

User Mswiszcz
by
7.9k points

1 Answer

5 votes

Final answer:

Approximately 68% of students' scores are expected to be within one standard deviation from the mean in a normal distribution, which is between 51 and 64 for the given data.

Step-by-step explanation:

The scores of eighth-grade students in a math test are normally distributed with a mean of 57.5 and a standard deviation of 6.5. From this data, we can conclude that approximately 68% of the students' scores will fall within one standard deviation of the mean. This means that 68% of the students' scores are likely to be between 51 (57.5 - 6.5) and 64 (57.5 + 6.5). This is known as the empirical rule or the 68-95-99.7 rule, which states that in a normal distribution, about 68% of the data falls within one standard deviation of the mean, 95% within two standard deviations, and 99.7% within three standard deviations.

User Cnorthfield
by
7.7k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories