ACT Math : How to find mode

Study concepts, example questions & explanations for ACT Math

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Example Questions

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:

77

84

85

83

72

Correct answer:

85

Explanation:

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

Possible Answers:

75

52

61

40

20

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 #1 : How To Find Mode

What is the mode of the following set of data? 

{1, 3, 5, 3, 1, 6, 7, 3} 

Possible Answers:

6

3

5

2

1

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 #2 : How To Find Mode

\(\displaystyle \left \{ {23,27,28,21,24,29,21,30} \right \}\)

What is the mode of this set of numbers?

Possible Answers:

\(\displaystyle 21\)

\(\displaystyle 25.375\)

\(\displaystyle 25.5\)

\(\displaystyle 27\)

\(\displaystyle 208\)

Correct answer:

\(\displaystyle 21\)

Explanation:

The mode is the most commonly occuring number in a group of numbers.  \(\displaystyle 21\) is the only number that occurs more than once.  

Example Question #4 : Mode

What is the mode of the following list of test scores: \(\displaystyle 80, 76, 93, 89, 93, 77\)

Possible Answers:

\(\displaystyle 84.5\)

There is no mode

\(\displaystyle 80\)

\(\displaystyle 93\)

\(\displaystyle 77\)

Correct answer:

\(\displaystyle 93\)

Explanation:

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 \(\displaystyle 10\) people randomly selected off the street:

\(\displaystyle \textup{12, 45, 73, 23, 32, 26, 30, 31, 19, 21, 33}\)
What is the mode of the data set?

Possible Answers:

\(\displaystyle 31.36\)

\(\displaystyle \textup{There is no mode}\)

\(\displaystyle 12\)

\(\displaystyle 30.5\)

\(\displaystyle 73\)

Correct answer:

\(\displaystyle \textup{There is no mode}\)

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:

\(\displaystyle 22, 26, 28, 28, 30, 30, 30, 34\).

What was the mode value of his scores?

Possible Answers:

\(\displaystyle 29\)

\(\displaystyle 29\)

\(\displaystyle 30\)

\(\displaystyle 12\)

\(\displaystyle 34\)

Correct answer:

\(\displaystyle 30\)

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.

\(\displaystyle 22, 26, 28, 28, {\color{Red} 30},{\color{Red} 30}, {\color{Red} 30}, 34\)

Therefore, 30 is the mode.

Example Question #4 : How To Find Mode

The following is a list of days of the month that the new moon was in the sky:

\(\displaystyle 12,15,17,25,29,3,5,7,17,21.\) What is the mode?

Possible Answers:

\(\displaystyle 29\)

\(\displaystyle 15.1\)

\(\displaystyle 16\)

\(\displaystyle 17\)

\(\displaystyle 3\)

Correct answer:

\(\displaystyle 17\)

Explanation:

The mode is the most frequently occurring number in a data set. Since \(\displaystyle 17\) is the only repeated number, it is the mode.

Example Question #1 : How To Find Mode

What is the mode of the following list of numbers:

\(\displaystyle \textup{2,2,2,3,5,7,7,7,7}\)?

Possible Answers:

\(\displaystyle 3\)

\(\displaystyle 4.7\)

\(\displaystyle 7\)

\(\displaystyle 2\)

\(\displaystyle 5\)

Correct answer:

\(\displaystyle 7\)

Explanation:

The mode is the number that occurs the most. Since \(\displaystyle 7\) occurs more than \(\displaystyle 2\) and any other number, it is the mode.

Example Question #1 : Mode

Find the mode of the following set of numbers.

\(\displaystyle \textup{2,5,6,8,9,11,15}\)

Possible Answers:

\(\displaystyle 15\)

\(\displaystyle \textup{None}\)

\(\displaystyle 2\)

\(\displaystyle 8\)

Correct answer:

\(\displaystyle \textup{None}\)

Explanation:

Since there is no one number that occurs more than another, the answer is no mode.

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