Question

Using the following scores which measure the height of University of Nevada basketball players in inches, answer the questions that follow.

64, 68, 68, 68, 68, 70, 70, 70, 70, 71, 71, 71, 72, 73, 73, 73, 78, 80, 82

What is the median player height?
What is the range of heights in this group?
What is the mode?

Answer 1

The data ( in ascending order )

64, 68, 68, 68, 68, 70, 70, 70, 70, 71, 71, 71, 72, 73, 73, 73, 78, 80, 82

a) MEDIAN: As we know that median is the value that divides the data set in 2 equal parts.

Now, n= 19 i.e odd number so

Median = ( n+1)/2 th value i.e 10th value i.e 71

MEDIAN= 71 INCHES

b) Range = maximum- minimu = 82 - 64 = 18 inches

c) MODE : we know that the number that repeats most of the time in the data set is the mode.

So in here we have 2 mode i.e 68 and 70

  MODE= 68 AND 70