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SAT II Math I : Mode

Study concepts, example questions & explanations for SAT II Math I

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All SAT II Math I Resources

6 Diagnostic Tests 113 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

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Example Question #11 : Mode

Find the mode of the set:

19, 27, 29, 30, 32, 33, 33, 34, 38, 40, 40, 40, 58

Possible Answers:

Correct answer:

Explanation:

The mode is the most repeated number in the set. To answer this, find the number that occurs the most number of times in the set.

$19, 27, 29, 30, 32, 33, 33, 34, 38, {\color{Red} 40}, {\color{Red} 40}, {\color{Red} 40}, 58$

For this problem that gives us the answer of 40 for the mode.

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Example Question #751 : Sat Subject Test In Math I

Find the mode of the following data set:

85,14,154,23,154,78,66,85,99,78,14,85

Possible Answers:

154

Correct answer:

Explanation:

Find the mode of the following data set:

85,14,154,23,154,78,66,85,99,78,14,85

The mode is the number which appears most in a number set. In this case, we have a few duplicates, but only one triple:

$154\ twice$

$78\ twice$

$85\ thrice$

Therefore, it must be 85, because 85 is the only one which appears more than twice!

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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 #11 : Mode

Find the mode of the set: $\{2,5,8,11,11,11,11,14,19,23\}$ .

Possible Answers:

Correct answer:

Explanation:

Step 1: Count the number of times each distinct element repeats in the set of numbers...

2,5,8 - time each

- times

14,19,23- 1 time each.

Step 2: Define the mode of a set...

The mode of a set is the number that comes up the most times (the most frequent). If a set has numbers that repeat the same amount of times, those such numbers are also the mode.

The mode is .

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Example Question #11 : Mode

Find the mode of: $\{2,2,2,3,3,3,4,4,4,5,5,6,6,6,7,7,7,8,8,9\}$

Possible Answers:

$\{3,6,7\}$

$\{2,3,7\}$

$\{2,3\}$

$\{2,3,4,6,7\}$

Correct answer:

$\{2,3,4,6,7\}$

Explanation:

Step 1: Define Mode...

The mode of a set is a number that repeats the most time. If more than one number repeats the same exact number of times as the rest,

Step 2: Count how many times a certain number appears...

2,3,4,6,7- times

5,8- times

time.

Step 3: Find the numbers that happen the most frequent...

The numbers 2,3,4,6,7 are all the modes of the set.

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SAT II Math I : Mode

Study concepts, example questions & explanations for SAT II Math I

All SAT II Math I Resources

Example Questions

Example Question #11 : Mode

Example Question #751 : Sat Subject Test In Math I

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 #11 : Mode

Example Question #11 : Mode

All SAT II Math I Resources

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