Question

There are 26 students in William's math class. The mean height of the students is 160 cm, and the median height is 156 cm. The interquartile range of the heights is 18 cm, and the mean absolute deviation of the heights is 4.6 cm.

Part A: Suppose the students in William's math class are listed in order from shortest to tallest. What is the difference between the height of the seventh student in the list and the height of the twentieth student in the list?

Part B: Suppose a new student joins William's math class, and his height is 160 cm. What is the mean height of students in the class with the additional student?

Please answer both parts for 50 points. :))

Answer 1

There would be 13 less or equal to the median height.

Answer 2

To answer this question you will use the median height of 156 centimeters and the fact that there are 26 kids in the class to know that the median is not in the data set, therefore it breaks the data into two equal halves with 13 in each half.There would be 13 less or equal to the median height.

Explanation: