ACT Math : Data Analysis
Study concepts, example questions & explanations for ACT Math
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Example Questions
Example Question #54 : Statistics
A group of 8 friends collect baseball cards. After years of collecting the students count how many cards they personally own. The quantity of each collection is listed as follows:
What is the mean value of baseball cards each friend owns?
To find the arithmetic mean, you simply add up all of the data and divide by the number of data points there are.
In this case there are 8 data points.
Example Question #71 : Data Analysis
For a fundraiser, six students attempt to collect as many canned goods as possible. After a week of collecting, student individually collected the following amounts of cans:
What is the mean value of cans collected per student?
To find the arithmetic mean, you simply add up all of the data and divide by the number of data points there are.
In this case there are 6 data points.
Example Question #52 : How To Find Arithmetic Mean
The day of the month that seven students were born on is recorded below (note, the month they were born is irrelevant, only the day of the month matters):
what is the average day of the month the students were born on? Round your answer to the nearest tenth if necessary.
The arithmetic average is found by calculating the sum of the given data set, then dividing by the total number of numbers in the data set:
Example Question #71 : Data Analysis
A sequence of five unknown numbers follows the following pattern:
If the average of this sequence is 
The average of a set of numbers involves adding up all of the numbers and dividing by the number of terms:
In this problem, since we do not know what the values are, we add the sequence in terms of 
Therefore, 
Example Question #61 : Statistics
Find the mean of the following set of numbers.
To find mean, simply total the numbers and divide by 7.
Example Question #62 : Statistics
Find the mean of the following set of numbers:
To find the mean, simply sum all of the numbers and divide by how many there are.
Thus,
Example Question #63 : Statistics
Find the mean of the following set of numbers:
To find the mean, simply sum up the numbers and divide by the amount there are. Thus,
Example Question #61 : How To Find Arithmetic Mean
From the menu above, what is the average price of a sandwich? Round to the nearest cent.
$4.99
$5.09
$5.11
$5.07
$5.03
$5.07
Average = Sum of the Options / # of Options
= (4.75 + 5.25 + 4.75 + 4.50 + 5.00 +5.25 + 6.00) / 7 = 35.50 / 7 = 5.07
Example Question #72 : Data Analysis
Refer to the chart above. What is the Median of Exam 1?
85
83
79
82
84
82
To find the median, one must arrange all the heights from the lowest to the highest value and then pick the middle value.
All Values: 82 72 75 96 85 77 79 84 98
In Order: 72 75 77 79 82 84 85 96 98
Median: 82
Example Question #73 : Data Analysis
Find the median of the given set of data:
{1,4,3,2,5,6,6}
4
2
3
1
6
4
First you must order the elements from least to greatest. In order, the set is {1,2,3,4,5,6,6}. There are 7 terms in this set, so the median will be the 4th term of the set, which happens to be 4.
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