Question

The school nurse at Pine Street High School surveyed the heights of all of the female students at the school. The median of the heights was $165$ centimeters and the mode was $162$ centimeters. Which of the following statements must be true?

• A. The height of half of the female students is $165$ centimeters.
• B. The most frequently occurring height of the female students is $162$ centimeters.
• C. The average (arithmetic mean) of the heights of the female students is $163.5$ centimeters.
• D. More female students are $165$ centimeters tall than $162$ centimeters tall.
• E. More female students are shorter than $165$ centimeters than are taller than $165$ centimeters.

Answer 1

The correct option is B The most frequently occurring height of the female students is $162$ centimeters.

Median $=165cms$

Mode $=162cms$

Therefore mode is $162cms$, means most frequently occurring height of female is $162cms$.