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Algebra II : Mode

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Example Question #12 : Mode

Find the mode of the dataset: $a=[0,\frac{1}{2},\frac{3}{6},\frac{1}{8},1]$

Possible Answers:

There is no mode

$\frac{1}{8}$

$\frac{1}{2}$

Correct answer:

$\frac{1}{2}$

Explanation:

The mode of the dataset is the highest frequency of numbers in the set. Reduce all fractions and reorder in chronological order.

$a=[0,\frac{1}{2},\frac{3}{6},\frac{1}{8},1]=[0,\frac{1}{8},\frac{1}{2},\frac{1}{2},1]$

The mode of the dataset is $\frac{1}{2}$ .

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Example Question #331 : Basic Statistics

Find the mode of the following data set:

1,43,117,42,2952,54,18,97,112,23,117

Possible Answers:

117

325

112

Correct answer:

117

Explanation:

Find the mode of the following data set:

1,43,117,42,2952,54,18,97,112,23,117

The mode is just the most common term in your sequence.

In this case, we only have one term that gets repeated... Can you spot it?

That's right, 117

$1,43,{\color{DarkBlue} 117},42,2952,54,18,97,112,23,{\color{DarkBlue} 117}$

So our answer is 117.

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Example Question #332 : Basic Statistics

Find the mode of this data set:

145,57,223,76,453,123,979,57,76,233,435,76

Possible Answers:

134

922

244

Correct answer:

Explanation:

Find the median of this data set:

145,57,223,76,453,123,979,57,76,233,435,76

To begin, let's put our numbers in increasing order:

57,57,76,76,76,123,145,223,233,435,453,979

Next, find the mode by finding the most repeated number. With our numbers in increasing order, it should be clear that our mode is 76.

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Example Question #21 : Mode

Find the mode of the following data set:

66,123,44,78,99,67,143,44,107,12,578,12,67,367,44

Possible Answers:

114

Correct answer:

Explanation:

Find the mode of the following data set:

66,123,44,78,99,67,143,44,107,12,578,12,67,367,44

Let's begin by putting our data in increasing order:

12,12,44,44,44,66,67,67,78,99,107,123,143,367,578

Now, the mode is just the most common term. In this case, we have 44 repeated three times. This means that 44 is our mode.

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Example Question #25 : Mode

What is the mode of the following set of numbers?

1,1,1,1,1,2,2,4,4,4,3,3,3,2,2,2,3,3,3,4,4,4,4,1,1,1,2,2,2,3,1,5

Possible Answers:

$\small 4$

$\small 1$

$\small 2$

$\small 3$

$\small 5$

Correct answer:

$\small 1$

Explanation:

The mode is the most occurring number, which, after you rearrange the numbers, is the number 1.

1,1,1,1,1,2,2,4,4,4,3,3,3,2,2,2,3,3,3,4,4,4,4,1,1,1,2,2,2,3,1,5

1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,5

Count the number of times each number occurs.

$1\Rightarrow 9$

$2\Rightarrow 8$

$3\Rightarrow 7$

$4\Rightarrow 7$

$5\Rightarrow 1$

Since 1 is the most occurring number it is the mode of the data set.

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Example Question #26 : Mode

For the function f(x)= x^2 + x +2 , what is the mode if $x = \left \{ -3, -1, 0, 1, 3\right \}$ ?

Possible Answers:

Correct answer:

Explanation:

In order to find the mode, first we need to evaluate the function at each of our points:

f(-3)= (-3)^2 + (-3) +2 = 8

f(-1)= (-1)^2 + (-1) +2 = 2

f(0)= (0)^2 + (0) +2 = 2

f(1)= (1)^2 + (1) +2 = 4

f(3)= (3)^2 + (3) +2 = 14

Now we put our answers in order:

2, 2, 4, 8, 14

As we can see, the appears twice, which is more than any other number. Therefore the mode is .

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Example Question #21 : Mode

Find the mode of the data: {1,8,5,4,7,5,6,3,6,4,7,5,7,5}

Possible Answers:

5.21

Correct answer:

Explanation:

The mode is the data point that occurs most in the set. Grouping the data shows the 5 is the data point that occurs the most. {1,3,4,4,5,5,5,5,6,6,7,7,7,8}

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Example Question #21 : Mode

What is the mode(s) of:

8,2,9,4,5,5,6,6,7,7,7,8,6 ?

Possible Answers:

7,6

Correct answer:

7,6

Explanation:

Step 1: Arrange the numbers from smallest to largest:

2,4,5,5,6,6,6,7,7,7,8,8,9

Step 2: Compare the number of times that each number appears

2-1 time
4-1 time
5-2 times
6-3 times
7-3 times
8-2 times
9-1 time

Step 3: We see that two numbers appear more often than others. Both of those numbers are the modes of the set.

The modes are and .

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Example Question #29 : Mode

Calculate the mode: $[\frac{1}{2}, 0.5, 50\%, 1,1, 1,30]$

Possible Answers:

0.5,1

$\textup{There is no mode.}$

$\frac{3}{4}$

$\frac{69}{14}$

Correct answer:

0.5,1

Explanation:

Convert the fraction and percent to a decimal.

$[\frac{1}{2}, 0.5, 50\%, 1,1, 1,30]\rightarrow [0.5,0.5,0.5,1,1,1,30]$

The mode is the number or numbers that has the highest frequency in a data set.

The highest frequencies of numbers are 0.5,1 , since occurs only once.

This means that the mode is: 0.5,1

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Example Question #30 : Mode

Determine the mode: $[\frac{1}{2}, 5\%, 50\%, \sqrt4, \frac{1}{20}]$

Possible Answers:

$\textup{There is no mode.}$

$\frac{1}{2},\frac{1}{20}$

$\frac{1}{2}$

$\frac{1}{20}$

Correct answer:

$\frac{1}{2},\frac{1}{20}$

Explanation:

The mode is the number or numbers that have the highest frequency in the data set.

Convert all numbers to a common number. Change all to decimal.

$[\frac{1}{2}, 5\%, 50\%, \sqrt4, \frac{1}{20}]\rightarrow [0.5,0.05,0.5,2,0.05]$

Notice that the numbers 0.5, 0.05 occurs twice in the data set, while occurs only once in the data set.

The mode is: $\frac{1}{2},\frac{1}{20}$

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Algebra II : Mode

Study concepts, example questions & explanations for Algebra II

All Algebra II Resources

Example Questions

Example Question #12 : Mode

Example Question #331 : Basic Statistics

Example Question #332 : Basic Statistics

Example Question #21 : Mode

Example Question #25 : Mode

Example Question #26 : Mode

Example Question #21 : Mode

Example Question #21 : Mode

Example Question #29 : Mode

Example Question #30 : Mode

All Algebra II Resources

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