107k views
5 votes
On a nationwide test by high school students, the mean score was 52 and the standard deviation was 11. The scores were normally distributed. Complete the following statements ( Choose the correct answers(68%,75%,95%,99.7%)

On a nationwide test by high school students, the mean score was 52 and the standard-example-1

1 Answer

6 votes

Recall that, according to the empirical rule:

1.- About 68% of the data falls within 1 standard deviation.

2.- About 99.7% of the data falls within 3 standard deviations.

Now, notice that:


\begin{gathered} 52-11=41, \\ 52+11=63. \end{gathered}

Therefore, approximately 68% of the students scored between 41, and 63.

Now, notice that:


\begin{gathered} 52+3(11)=85, \\ 52-3(11)=19. \end{gathered}

Therefore, approximately 99.7% of the students scored between 19 and 85.

Answer:

Approximately 68% of the students scored between 41, and 63.

Approximately 99.7% of the students scored between 19 and 85.

User Jophy Job
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.