Suppose the heights (in centimeters) of five students are $150$, $160$, $170$, $180$, and $190$. What is the mean height of these students?

• A. $170$ centimeters
• B. $160$ centimeters
• C. $175$ centimeters
• D. $180$ centimeters

Answer: (A)

Verified step by step guidance

1. Identify the data set: the heights of the five students are 150 cm, 160 cm, 170 cm, 180 cm, and 190 cm.
2. Recall the formula for the mean (average) of a data set: \(\text{Mean} = \frac{\text{Sum of all data points}}{\text{Number of data points}}\).
3. Calculate the sum of the heights: add 150, 160, 170, 180, and 190 together.
4. Count the number of data points, which in this case is 5 students.
5. Divide the sum of the heights by the number of students using the formula: \(\text{Mean} = \frac{150 + 160 + 170 + 180 + 190}{5}\).