ACT Math : Data Analysis
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Example Questions
Example Question #91 : Data Analysis
What is the median of the following list of numbers?
There is no median.
To find the median of a data set, line up all the numbers and find the number in the middle. If two numbers are in the middle (only true of even-numbered data sets) then take the average of the middle two.
Since our data set has an odd number of numbers, the median is 12.
Example Question #91 : Data Analysis
Find the median of the following set of numbers.
To find the median, simply sort the numbers from smallest to largest and then find the number in the middle. Since these are already sorted, the answer is .
Example Question #92 : Data Analysis
Find the median of the following set of numbers:
To find the median, simply find the middle number.
Since there are an even number of values, you will have to take and average of the two middle numbers.
Thus,
Example Question #93 : Data Analysis
Find the median of the following set of numbers:
To find median, simply find the middle number. Since there are two in the middle, find their average. Thus,
Example Question #1 : How To Find Mode
Refer to the chart above. What is the mode for all of the exam scores?
77
84
85
83
72
85
Mode is the value that occurs most often within a set of data.
Example Question #1 : How To Find Mode
What is the sum of the mean, mode, and median of the following set of data:
20, 25, 7, 40, 13, 15, 20, 28
75
52
61
40
20
61
First, the data set must be put in order from smallest to largest
7, 13, 15, 20, 20, 25, 28, 40
Mean = sum of data ÷ number of data points = 21
Mode = number occuring most often = 20
Median = middle number, or the mean of the two middle numbers = 20
Therefore, the sum of the mean, mode, and median is 61
Example Question #1 : How To Find Mode
What is the mode of the following set of data?
{1, 3, 5, 3, 1, 6, 7, 3}
6
3
5
2
1
3
The most common element of the set of data is 3. It occurs three times, and no other number occurs 3 times.
Example Question #2 : How To Find Mode
What is the mode of this set of numbers?
The mode is the most commonly occuring number in a group of numbers. is the only number that occurs more than once.
Example Question #4 : Mode
What is the mode of the following list of test scores:
There is no mode
The mode is the most frequently occurring number. Thus it is 93 as that is the only repeated number.
Example Question #1 : Mode
The following is a list of the ages of people randomly selected off the street:
What is the mode of the data set?
The mode is the most frequently occuring number in the data set. This data set has only unique numbers, so there is no frequently occuring number. Thus there is no mode.
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