Question
About what proportion of Gary, Indiana, seventh-graders have ITBS vocabulary scores between 5.29 and 8.39? That is, what percent of the area under the normal curve lies within 1 standard deviation of the meln?
Answers
GPT 3.5
To calculate the proportion of seventh graders with ITBS vocabulary scores between 5.29 and 8.39, we need to calculate the area under the normal curve within one standard deviation of the mean.
Assuming a normal distribution, we can use the empirical rule, also known as the 68-95-99.7 rule, to estimate the proportion:
- Approximately 68% of the values fall within one standard deviation of the mean.
Therefore, about 68% of Gary, Indiana seventh-graders would have ITBS vocabulary scores between 5.29 and 8.39.
Assuming a normal distribution, we can use the empirical rule, also known as the 68-95-99.7 rule, to estimate the proportion:
- Approximately 68% of the values fall within one standard deviation of the mean.
Therefore, about 68% of Gary, Indiana seventh-graders would have ITBS vocabulary scores between 5.29 and 8.39.