ACT Math : ACT Math

Study concepts, example questions & explanations for ACT Math

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Example Questions

Example Question #51 : How To Find Arithmetic Mean

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?

Possible Answers:

Correct answer:

Explanation:

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.

Possible Answers:

Correct answer:

Explanation:

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 , what is ?

Possible Answers:

Correct answer:

Explanation:

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 : Arithmetic Mean

Find the mean of the following set of numbers.

Possible Answers:

Correct answer:

Explanation:

To find mean, simply total the numbers and divide by 7.

Example Question #62 : Arithmetic Mean

Find the mean of the following set of numbers:

Possible Answers:

Correct answer:

Explanation:

To find the mean, simply sum all of the numbers and divide by how many there are.

Thus,

Example Question #63 : Arithmetic Mean

Find the mean of the following set of numbers:

Possible Answers:

Correct answer:

Explanation:

To find the mean, simply sum up the numbers and divide by the amount there are. Thus,

Example Question #64 : Arithmetic Mean

Restaurant

From the menu above, what is the average price of a sandwich?  Round to the nearest cent.

Possible Answers:

$5.03

$4.99

$5.07

$5.11

$5.09

Correct answer:

$5.07

Explanation:

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 #1 : Median

Gradechart

Refer to the chart above. What is the Median of Exam 1?

Possible Answers:

82

84

85

83

79

Correct answer:

82

Explanation:

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}

Possible Answers:

4

2

3

1

6

Correct answer:

4

Explanation:

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.

Example Question #1 : How To Find Median

Find the median of this set of data:

{1, 2, 3, 4, 5, 6}

Possible Answers:

4.5

2

3.5

4

3

Correct answer:

3.5

Explanation:

When given an odd number of terms in a set, the middle term is the median.

However, if the number of terms is even, there are 2 middle terms, so the median is the average of the 2 middle terms. (3 + 4)/2 = 3.5

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