What are the three data values such that the new sample has a midrange of 70? Justify your ...

Answer to #1

Many different answers are possible. Need any two numbers that total 140 for the extreme values L and H, where one is 100 or larger. For example, we may choose the numbers 40, 50, and 60 . Thus the five numbers are 40, 50, 60, 70, 100, and midrange = (L+H)/2 = (40+100)/2 = 70.

Answer to #2

Many different answers are possible. Need multiple 87's. For example, we may choose 87, 87 and 95 . Thus, the five numbers are 70, 87, 87, 95, 100, and the mode = 87.

Answer to #3

Many different answers are possible. Need two numbers smaller than 70 and one number larger than 70 . For example, we may choose 50, 60, and 80.Thus the five numbers are 50, 60, 70, 80, 100, and the median is 70.

Answer to #4

Quantitative variable results in numbers for which arithmetic is meaningful; qualitative variable does not

Answer to #5

The height of column of dots illustrates the most common height.

Answer to #6

The most common height is 80 inches, shared by 5 players.

Answer to #7

The shortest player is 72 inches and the tallest player is 90 inches.