A set of questions, on mean, median and mode , similar to the questions in the compass math test are presented along with their answers. Solutions with full explanations to these questions are also included

What is the mean of the data set given below?
10.2 , 10.5 , 10.9 , 10.2 , 10.6 , 10.0
A) 10.1
B) 10.2
C) 10.3
D) 10.4
E) 10.5

Which of the statements, related to the mean, mode and median of the data set given below is true?
12 , 15 , 10 , 19 , 5 , 5
A) the mean is equal to the median
B) the mode is larger than the mean
C) the median is smaller than the mode
D) the above data set has two modes
E) The median of the above data is equal to 14.5

What is(are) the mode(s) of the data set given below?
20.1 , 30.5 , 10.1 , 20.1 , 10.6 , 30.5 , 10.1 , 10.5
A) one mode: 10.1
B) one mode: 30.1
C) two modes: 20.1 and 30.1
D) three modes: 10.1 , 20.1 and 30.5
E) this data set has no modes

What is the median of the data set given below?
0 , 12 , 5 , 45 , 12 , 8 , 2
A) 45
B) 8
C) 25
D) 18.5
E) 12

What is the mean of the fractions 2/3 , 5/6 and 1/2?
A) 2
B) 8/33
C) 1/3
D) 25/11
E) 2/3

What is the median of the data set given below?
0.3 , 0.33 , 0.003 , 0.31 , 0.0003
A) 0.003
B) 0.33
C) 0.31
D) 0.0003
E) 0.3

Which of these data sets has no mode(s)?
A) 57 , 24 , 57 , 21 , 49
B) 23 , 24 , 56 , 21 , 43
C) 20 , 20 , 20 , 20 , 20
D) 2000 , 3000 , 4000 , 2000 , 20000
E) 5 , 6 , 7 , 8 , 9 , 5

What is the mean, median and mode of the following data set?
101 , 99 , 102 , 105 , 100 , 98 , 102
A) mean = 101 , median = 101 , mode = 102
B) mean = 101 , median = 102 , mode = 101
C) mean = 100 , median = 105 , mode = 102
D) mean = 100 , median = 105 , mode = 101
E) mean = 100 , median = 100 , mode = 100

Which of these data sets has a mean less than 100?
A) 101 , 99 , 102 , 99 , 100
B) 90 , 110 , 101 , 100 , 100
C) 100 , 100 , 100 , 100 , 99
D) 50 , 155 , 101 , 100 , 98
E) 0 , 101 , 100 , 201 , 100

Which of the following data sets has the largest mean?
A) 2001 , 2002 , 2008 , 2010
B) 2000 , 2010 , 2005 , 2002
C) 2999 , 1000 , 2001 , 2002
D) 2000 , 2000 , 2000 , 2000
E) 2010 , 2004 , 2012 , 2020

