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?
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.
To find the proportion of Gary, Indiana, seventh-graders with ITBS vocabulary scores between 5.29 and 8.39, we need to calculate the area under the normal curve within 1 standard deviation of the mean.
Assuming the distribution of ITBS vocabulary scores follows a normal distribution, we can use the empirical rule or the 68-95-99.7 rule to estimate the proportion.
According to the empirical rule, approximately 68% of the data falls within 1 standard deviation of the mean. This means that about 68% of the Gary, Indiana, seventh-graders' ITBS vocabulary scores fall between 5.29 and 8.39.
Therefore, the proportion of students with scores between 5.29 and 8.39 is approximately 68%.
Please note that this is an estimation based on the assumption of a normal distribution. In reality, the actual proportion may vary depending on the data distribution.