Algebra 1 : How to find mode

Study concepts, example questions & explanations for Algebra 1

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Example Questions

Example Question #131 : How To Find Mode

Which dataset has no mode?

Possible Answers:

Correct answer:

Explanation:

The mode of a dataset is the element that occurs the most frequently. A set is considered to have no mode if and only if no element is repeated. The only choice that fits this description is

.

Example Question #131 : How To Find Mode

Consider the data set

.

How many ways can a single number replace the square to create a bimodal set?

Possible Answers:

Zero

Five

One

Infinitely many

The correct answer is not among the other choices.

Correct answer:

Zero

Explanation:

The mode of a dataset is the element that occurs the most frequently. A set is considered to be bimodal if there are two elements that tie for this distinction.

Each of the five known elements are unique within the set. If the square is replaced by one of those five numbers, then that element will appear twice, and each other element will appear once. That will give the set exactly one mode. If the square is replaced by any other number, then each number will appear exactly once, and the set will have no mode. Therefore, there is no number that can replace the square that will make it bimodal.

Example Question #131 : How To Find Mode

Consider the data set

.

How many ways can a single number replace the square to create a bimodal set?

Possible Answers:

Three

One

Infinitely many

None

Two

Correct answer:

Infinitely many

Explanation:

The mode of a dataset is the element that occurs the most frequently. A set is considered to be bimodal if there are two elements that tie for this distinction.

If the square is replaced by a "2" or a "4", then that number will appear in the set three times, more than any other number. The set will have exactly one mode. If the square is replaced by "6", then each of "2", "4", and "6" will appear two times, giving the set three modes.

However, if any other number replaces the square, "2" and "4" will each appear twice, and "6" and the new number will each appear once. This makes "2" and "4" the two modes of the set. The correct response is therefore infinitely many.

Example Question #131 : How To Find Mode

Consider the data set

.

How many ways can a single number replace the square to create a set with no mode?

Possible Answers:

Zero

Infinitely many

One

Four

Three

Correct answer:

Zero

Explanation:

The mode of a dataset is the element that occurs the most frequently. A set is considered to have no mode if and only if no element is repeated. However, the element "1" already occurs twice, so there is no number that can be written in the box that will create this condition.

Example Question #1921 : Algebra 1

Consider the data set

How many ways can a single number replace the square to create a bimodal set?

Possible Answers:

Zero

Infinitely many

One

Two

Three

Correct answer:

Two

Explanation:

The mode of a dataset is the element that occurs the most frequently. A set is considered to be bimodal if there are two elements that tie for this distinction.

If the square is replaced by a "2", then the set will comprise four "2's", two "3's", and two "4's". This will make 2 the only mode.

If the square is replaced by a "3", then the set will comprise three "2's", three "3's", and two "4's", making the set one with two modes, 2 and 3. Similarly, if the square is replaced by a "4", 2 and 4 will be the modes. Either of these two ways will make the set bimodal.

If the square is replaced by any other number, the set will comprise three "2's", two "3's", two "4's", and one other number, making 2 the only mode.

Therefore, there are two ways to replace the square to form a bimodal set.

Example Question #136 : How To Find Mode

What is the mode of the set of data?  

Possible Answers:

Correct answer:

Explanation:

The mode is the highest frequency of a number or numbers in a dataset.

There are 2 ones, 2 twos, and 1 three in the set of data.

Therefore, the mode is one and two.

The answer is:  

Example Question #1921 : Algebra 1

Find the mode:  

Possible Answers:

Correct answer:

Explanation:

The mode is the highest frequency of numbers in a dataset.  In the given dataset, we notice that the  will round to , and  is very similar to .

But the true values of the  and  terms are irrational numbers.  This means that every term in the dataset has only one occurrence.

The correct answer is:  

Example Question #1922 : Algebra 1

Find the mode of the following set:

Possible Answers:

Correct answer:

Explanation:

To find the mode of any set, find the number which occurs the greatest number of times in the set.  

 

2 occurs 6 times and 22 occurs 5 times

Therefore two is the mode.

Example Question #1923 : Algebra 1

Find the mode of the following set:

Possible Answers:

Correct answer:

Explanation:

To find the mode of any set, find the number which occurs the greatest number of times in the set.  

Since 5 occurs two times and all other values only occur once, five is the mode.

 

Example Question #501 : Statistics And Probability

Find the mode of the following set:

Possible Answers:

Correct answer:

Explanation:

To find the mode of any set, find the number which occurs the greatest number of times in the set.  

Since zero occurs two times while all other values occur once that means the mode is .

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