ACT Math : Data Analysis
Study concepts, example questions & explanations for ACT Math
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Example Questions
Example Question #86 : Statistics
A student has been taking practice ACT tests all summer. He has taken a total of eight tests and recorded the following composite scores:
What was the mode value of his scores?
The mode is the data point that occurs the most frequently in a group of data.
If you look at our 8 data points, only two values occur more than once. Those values are 28 and 30. 28 occurs twice and 30 occurs three times.
Therefore, 30 is the mode.
Example Question #1 : How To Find Mode
The following is a list of days of the month that the new moon was in the sky:
The mode is the most frequently occurring number in a data set. Since 
Example Question #101 : Data Analysis
What is the mode of the following list of numbers:
The mode is the number that occurs the most. Since 
Example Question #8 : Mode
Find the mode of the following set of numbers.
Since there is no one number that occurs more than another, the answer is no mode.
Example Question #101 : Data Analysis
Find the mode of the following set of numbers:
To find mode, simply find the number that occurs most frequently.
Since there isn't a number that occurs more than once, there is no mode.
Example Question #102 : Data Analysis
Find the mode of the following set of numbers:
To find mode, simply find the most frequent number. Thus, you answer is 
Example Question #1 : How To Find Range
What is the range of the grades Helen received on all three exams?
84
82
12
9
7
7
The range of a set of data is the difference between the highest and lowest values in the set.
Helen’s grades: 84 86 79
Highest = 86
Lowest = 79
Range = 86 - 79 = 7
Example Question #2 : Range
If train A heads from Albuquerque, New Mexico towards Phoenix, Arizona, at 50 miles an hour and train B heads from Phoenix to Albuquerque at 70 miles an hour leaving at the same time at 4:00PM, at what time will the trains intersect taking the same path, assuming the distance between the two cities is 450 miles.
Between 8:00 and 9:00 PM
Between 9:00 and 10:00 PM
Between 6:00 and 7:00 PM
Between 7:00 and 8:00 PM
Between 7:00 and 8:00 PM
A quick look at the answer choices tells you that the question is not looking for the exact time of intersection, but rather between what two hours the trains will intersect. The best approach to a problem like this is to quickly make a table listing distance traveled of each train and the corresponding time. An example is illustrated below.
We see at 7:00 PM the trains have not yet intersected (and are actually 90 miles apart, 
At 8:00 PM the trains have traveled a total of 480 miles together, and thus must have already intersected. Therefore, between 7:00 and 8:00 PM is the correct answer.
Questions such as these should take no longer than twenty seconds, as they only require simple arithmetic. They tend to be more intimidiating than difficult, as well as many other questions on the ACT.
Example Question #2 : How To Find Range
Considering the entire menu shown for Lena’s Italian Kitchen, what is the range of the prices of the many food options?
$6.09
$4.50
$7.00
$1.50
$3.50
$7.00
The range is difference between the largest value and the smallest value.
The largest value is the ravioli for $10.00
The smallest value is the house salad for $3.00
The range = $10.00 - $3.00 = $7.00
Example Question #1 : Range
Find the range of the following set of numbers:
Range is the difference between the largest number in the set and the smallest number in the set. Our largest number in the set is 
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