How to find mode - ISEE Upper Level Mathematics Achievement

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Question

The data set below represents a class's scores on a recent math test. What is the mode score in the data set?

Answer

The mode is simply the value that appears most often in a given data set. In this data set the value 77 appears three times. The value 68 appears twice. No other value appears more than once, which means 77 is the mode.

You may want to arrange the values in numerical order if it helps you see the repeating values, but it isn't required.

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Question

Examine the data set . You are given that can be any integer from 1 to 10.

Which value(s) of would give the data set no mode?

Answer

The mode of a data set is the element that appears most frequently; a data set with no mode has all of its elements appear exactly once.

All of the integers from 1 to 10 except for 5 are known to appear in this data set at least once. If is equal to any of those integers, it is the only one repeated, and it is the mode. Only if can the set not have a repeated value. That makes this the correct choice.

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Question

Give the mode(s) of the data set

Answer

The mode of a data set is the element that appears the most frequently. When two numbers both appear most frequently, there are two modes:

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Question

Give the mode(s) of the data set:

Answer

The mode of a data set is the element that appears most frequently. In this set, that element is , which appears three times. No other element appears more than twice.

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Question

Consider the data set . If the data set has only one mode, how many possible values of are there?

Answer

If then the value of is appears five times, more than any other element. This would give the set one mode.

If , then 4, 6, and the value of would appear three times each, more than any other element. This would give the set three modes.

If assumes any other value, then 4 and 6 would appear three times each, more than any other element. This would give the set two modes.

Therefore, there are only two values of that would give the set one mode.

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Question

Consider the data set . For the data set to have exactly two modes, what are all of the possible choices of ?

Answer

If , then the value of will occur in the set five times, more than any other element. This will give the set one mode.

If , then there will be three elements - - that occur three times, more than any other element. This will give the set three modes.

If is any other number, then there will be two elements - - that occur twice, more than any other number. This will give the set two modes.

Therefore, , and any other value of gives the set one mode.

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Question

The heights of the starting volleyball team for a high school are inches. Give the mode of this data set.

Answer

The mode is the value that appears most often which is in this data set, because appears two times while all of the other values only appear one time.

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Question

Find the mode and the median of the frequency distribution shown in the following table:

Answer

The mode is the value that appears most often or has more frequency which is in this problem. The total number of data values are . Since the number of values is odd, the median is the single middle value which is the value in this problem. So the median is .

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Question

In the following set of scores find the mode:

Answer

The mode is the value that appears most often or has more frequency in a given set of data. So in this problem, the mode is which occurs most frequently.

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Question

in the following set of data the mode is , what are the possible values for .

Answer

The mode is the value that has more frequency in a given set of data than other values. Among the given frequencies in this problem, has the frequency of which is more than others. If is the mode, its frequency must be more than .

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Question

What is the mode of the following set of numbers?

Answer

To determine the mode, you need to identify which number appears most frequently in the set of numbers.

In this set of numbers, the number 2 shows up three times, and no other number occurs three or more times. Thus, it is the only mode.

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Question

What is the mode value in the set below?

Answer

The first step is to convert the expressions in the set to their simplified forms. This gives us:

While the value of 4 appears twice, given that the value 3 appears 3 times, it is the mode in this set.

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Question

Find the mode of the following data set:

Answer

Find the mode of the following data set:

Begin by putting your numbers in increasing order:

We can identify the mode simply by finding the most common term.

In this data set, we have two 67's. There are no other duplicate numbers, so we have our answer: 67

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Question

Find the mode of the following data set:

Answer

Find the mode of the following data set:

Let's begin by rearranging our terms from least to greatest:

Now, the mode will be our most common term.

In this case, it is 76, because there are two 76's.

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Question

Find the mode of the following data set:

Answer

Find the mode of the following data set:

First, let's put our terms in increasing order:

Now, our mode will just be our most common term. In this case it is 33.

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Question

Find the mode of the following data set:

Answer

Find the mode of the following data set:

First, let's put our terms in ascending order.

Next, identify the mode by choosing the most common term.

In this case, we have 2 78's. Therefore, our mode is 78.

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Question

Use the following data set to answer the question:

Find the mode.

Answer

To find the mode of a data set, we will find the number that occurs most often.

So, given the data set

we can see the number 5 occurs most often (it occurs 4 times.)

Therefore, the mode of the data set is 5.

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Question

Use the following data set to answer the question:

Find the mode.

Answer

To find the mode of a data set, we will find the number that occurs most often.

So, given the data set

we can see the number that occurs most often is 8 (it occurs 4 times).

Therefore, the mode of the data set is 8.

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Question

Find the mode of the following data set:

Answer

Find the mode of the following data set:

To find the mode, first put the numbers in increasing order

Next, find the mode by simply choosing the most common number.

In this case, 12 appears three times, so it is our most common term.

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Question

Use the following data set to answer the question:

Find the mode.

Answer

To find the mode of the data set, we will find the number that appears most often. So, given the set

we can see the number that appears most often is 5 (it appears 3 times).

Therefore, the mode of the data set is 5.

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