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Algebra II : Basic Statistics

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Example Questions

Example Question #14 : 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 #752 : 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 #15 : Mode

Find the mode for the following set: a=[1,5,6,7,8]

Possible Answers:

1,5,6,7,8

$\textup{No mode.}$

5.4

Correct answer:

$\textup{No mode.}$

Explanation:

The definition of mode states that it is the number or numbers that is repeated most often. In this dataset, there's only one occurrence on each number. Therefore, there is no mode.

The answer is: $\textup{No mode.}$

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Example Question #16 : Mode

Find the mode: a=[2,3,3,4,4,33,44]

Possible Answers:

$\textup{No mode.}$

$33 \textup{ and }44$

$3 \textup{ and }4$

Correct answer:

$3 \textup{ and }4$

Explanation:

The mode is the number in the dataset repeated most frequently. The numbers that are repeated most often are three and four. Each other number has only one occurrence.

The answer is: $3 \textup{ and }4$

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Example Question #17 : Mode

Find the mode: a=[{0,0,1,2,3,1}]

Possible Answers:

$0 \textup{ and }1$

$\frac{1}{2}$

$\textup{There is no mode.}$

Correct answer:

$0 \textup{ and }1$

Explanation:

The mode is defined as the number highest frequency in the dataset. The most common numbers are zero and one since there are two of each in the dataset.

There are only one of each numbers and .

The answer is: $0 \textup{ and }1$

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Example Question #21 : Mode

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

Possible Answers:

$\frac{1}{8}$

$\frac{1}{2}$

There is no mode

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 #22 : Mode

Find the mode of the following data set:

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

Possible Answers:

112

117

325

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 #23 : Mode

Find the mode of this data set:

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

Possible Answers:

244

922

134

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 #24 : 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 #757 : Sat Subject Test In Math I

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:

$\small 1$

$\small 4$

$\small 2$

$\small 3$

$\small 5$

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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Algebra II : Basic Statistics

Study concepts, example questions & explanations for Algebra II

All Algebra II Resources

Example Questions

Example Question #14 : Mode

Example Question #752 : Sat Subject Test In Math I

Example Question #15 : Mode

Example Question #16 : Mode

Example Question #17 : Mode

Example Question #21 : Mode

Example Question #22 : Mode

Example Question #23 : Mode

Example Question #24 : Mode

Example Question #757 : Sat Subject Test In Math I

All Algebra II Resources

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