ACT Math : ACT Math

Study concepts, example questions & explanations for ACT Math

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Example Questions

Example Question #11 : How To Find Median

Find the median of the following set of numbers.

Possible Answers:

Correct answer:

Explanation:

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 #91 : Data Analysis

Find the median of the following set of numbers:

Possible Answers:

Correct answer:

Explanation:

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 #13 : How To Find Median

Find the median of the following set of numbers:

Possible Answers:

Correct answer:

Explanation:

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

Gradechart

Refer to the chart above.  What is the mode for all of the exam scores?

Possible Answers:

85

77

72

84

83

Correct answer:

85

Explanation:

Mode is the value that occurs most often within a set of data.

Example Question #1 : 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

Possible Answers:

40

75

20

61

52

Correct answer:

61

Explanation:

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 #2 : Mode

What is the mode of the following set of data? 

{1, 3, 5, 3, 1, 6, 7, 3} 

Possible Answers:

6

1

2

3

5

Correct answer:

3

Explanation:

The most common element of the set of data is 3. It occurs three times, and no other number occurs 3 times.

Example Question #3 : Mode

What is the mode of this set of numbers?

Possible Answers:

Correct answer:

Explanation:

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: 

Possible Answers:

There is no mode

Correct answer:

Explanation:

The mode is the most frequently occurring number. Thus it is 93 as that is the only repeated number.

Example Question #5 : Mode

The following is a list of the ages of  people randomly selected off the street:


What is the mode of the data set?

Possible Answers:

Correct answer:

Explanation:

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.

Example Question #5 : How To Find Mode

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?

Possible Answers:

Correct answer:

Explanation:

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.

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