Manuel wants to find the average height of students in the \( 10^{\text {th }} \) grade at East High School. So he will use a sample of students in the \( 10^{\text {th }} \) grade to find the average height. Answer the questions below. \( \begin{array}{l}\text { (a) Which unit(s) could be used for the unit of measurement? Check all that apply. } \\ \square \text { inches } \\ \text { (b) Which of the procedures below would be the best way to find the average height? } \\ \text { Ask for } 35 \text { volunteers from the } 10^{\text {th }} \text { grade to state their own heights. } \\ \text { Measure the heights of } 3 \text { volunteers from the } 10^{\text {th }} \text { grade. } \\ \text { Randomly pick } 35 \text { students from the } 10^{\text {th }} \text { grade and measure their heights. } \\ \text { Randomly pick } 3 \text { students from the } 10^{\text {th }} \text { grade and have them state their own heights. }\end{array} \)
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In measuring the average height of students, the unit that would be most appropriate is inches, as it is a standard unit for height measurement in many countries, particularly in the United States. Other possible units could include centimeters or meters, but for this example, sticking with inches keeps it relatable and familiar to many. To find the average height effectively, the best approach would be to randomly pick 35 students from the 10th grade and measure their heights. This method ensures that the sample is representative of the entire population, minimizing bias, as opposed to asking for volunteers or relying on a smaller group, which may not accurately reflect the average for all students.
