What is the mean, median, mode, and range of 2, 3, 3, 3, 3, 4, 4, 5, 6, 6, 6, 6, 7, 7, 8, 8, 8, 8, 9?

#2,3,3,3,3,4,4,5,6,6,6,6,7,7,8,8,8,8,9#

Count the number of values first: There are #19#

Range: Difference between highest and lowest values:
#color(blue)(2),3,3,3,3,4,4,5,6,6,6,6,7,7,8,8,8,8, color(blue)(9)#

Range =#color(blue)(9-2 =7)#

Median: Value exactly in the middle of a set of data arranged in order. There are #19# values so this one is easy to find. It will be the #(19+1)/2 th# value = #10th#
#19 = 9+1+9#

#color(red)(2,3,3,3,3,4,4,5,6),6,color(red)(6,6,7,7,8,8,8,8,9)#
#color(white)(wwwwwwwwwwww)uarr#
#color(white)(wwwwwwwwwww)median =6#

Median: the value with the highest frequency - the one that occurs the MOST often:

#2,color(lime)(3,3,3,3),4,4,5,color(lime)(6,6,6,6),7,7,color(lime)(8,8,8,8),9#

There are three values which each occur #4# times
This is a tri-modal distribution, the modes are #3,6 and 8#

Mean: what is usually called the average. If all the values were the same, what would it be? Find one value to represent them all.

Mean: add all the values together and divide by #19#

#2+3+3+3+3+4+4+5+6+6+6+6+7+7+8+8+8+8+9 = 106#

#mean = color(magenta)(106/19 = 5.5789... ~~ 5.58)#