Question

• Exercise with Three Groups: Measures of Central Tendency

Factor One Factor Two Factor Three
89 87 79
78 83 75
86 77 98
86 82 92
84 77 79
90 90 91
88 79 82

Answer 1

Answers: The three main measures of central tendency are the mean, the median and the mode where:

mean = sum of the values of every observation in the group divided by the total number of observations in that group.

median = middlemost value of the group of observations when they are arranged in ascending order. (when the total number of observations is an odd number)

mode = most commonly occurring value in a set of observations.

In factor 1, mean = 85.85714; median = 86; mode = 86 (Since 86 is occurring twice when no other number is repeated more than once)

In factor 2, mean = 82.14286; median = 82; mode = 77 (Since 77 is occurring twice when no other number is repeated more than once)

In factor 3, mean = 85.14286 ; median = 82; mode = 79 (Since 79 is occurring twice when no other number is repeated more than once)

(The answers are obtained using R-software. Code and output are attached below for verification)