Multiple choice

The students in Juan's math class have the exact same mean height as the students in Juan's English class. However, while the standard deviation of the student heights in his math class is 3.2 inches, the standard deviation of the student heights in his English class is 6.1 inches. Which of the following statements must be true?

  1. The mean height of the students in Juan's English class is 2.9 inches greater than the mean height of the students in Juan's Math class.

  2. The median height of the students in Juan's English class is 2.9 inches greater than the mean height of the students in Juan's Math class.

  3. The heights of the students in Juan's math class are more variable than the heights of the students in Juan's English class.

  4. The heights of the students in Juan's math class are less variable than the heights of the students in Juan's English class.

Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Standard deviation measures the dispersion or variability of a data set. A higher standard deviation (6.1 vs 3.2) indicates that the data points are more spread out from the mean, meaning the heights in the English class are more variable than those in the math class.

AI explanation

Standard deviation measures the dispersion or variability of a dataset. The math class has a standard deviation of 3.2 inches, while the English class has a standard deviation of 6.1 inches. Because 3.2 is less than 6.1, the heights of the students in the math class are less variable than those in the English class.