High School

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Mrs. Matthew’s class is analyzing the heights of students at Tallview High School. They find the boys are 176 cm tall, on average, with a standard deviation of 8 cm; and the girls are 168 cm tall, on average, with a standard deviation of 7 cm. They receive the statistics for a new student, Sawyer, but not the gender. If Sawyer is 183.5 cm tall, what can you tell about Sawyer by comparison to his or her peers?

Answer :

Using statistical analysis of mean and standard deviation values, it can be inferred that Sawyer is likely a boy based on the fact that his height, 183.5 cm, falls within one standard deviation above the boys' average height at Tallview High School.

This problem relates to the field of statistics, specifically concerning standard deviation and mean values. The mean represents the average value, while the standard deviation gives an indication of the variability or dispersion of a set of data values from the mean.

In the case of Tallview High School, the average height of boys is 176 cm and the average height of girls is 168 cm. The collected data tells us that the standard deviation for boys is 8 cm and for girls it is 7 cm.

Given Sawyer's height is 183.5 cm, which is 7.5 cm above the average height of boys at the school, it's likely, but not necessarily the case, that Sawyer is a boy. This is because Sawyer's height falls within one standard deviation above the mean of the boys' heights. It's worth noting that standard deviation does not give definitive answers about individual measurements - rather, it provides a statistical likelihood.

Learn more about the topic of Standard Deviation here:

https://brainly.com/question/12402189

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