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SAT II Math I : SAT Subject Test in Math I

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

Example Question #731 : Sat Subject Test In Math I

Find the median of this data set:

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

Possible Answers:

134

244

922

Correct answer:

134

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 median by finding the number in the middle of the data set. If there are two numbers in the middle, then find their average:

$57,57,76,76,76,{\color{Blue} 123,145},223,233,435,453,979$

So, the median will be:

$\frac{123+145}{2}=\frac{268}{2}=134$

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Example Question #41 : Median

Find the median of the following data set:

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

Possible Answers:

114

566

Correct answer:

Explanation:

Find the median 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 median should be pretty straightforward to find.

The median will simply be the number in the middle of all the terms.

In this case, it is the number in red below

$12,12,44,44,44,66,67,{\color{Red} 67},78,99,107,123,143,367,578$

So our answer is 67.

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Example Question #39 : Median

A school district has determined that the most vaulable way to evaluate success is by using the median of all the test scores as the basis. With this in mind, find the median scores of 77, 80, 35, 76, 99, 95, 86, 65, 72, 56, and 21?

Possible Answers:

$\small 72$

$\small 76$

$\small 77$

$\small 65$

$\small 78$

Correct answer:

$\small 76$

Explanation:

The key to solving this problem is to first write the numbers in ascending order.

77, 80, 35, 76, 99, 95, 86, 65, 72, 56, 21

21, 35, 56, 65, 72, 76, 77, 80, 86, 95, 99

After this you will find the middle number of the set which turns out to be $\small 76$ .

21, 35, 56, 65, 72, 76, 77, 80, 86, 95, 99

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Example Question #242 : Data Properties

What is the median of the function f(x)= x^2 -1 when (x=-6, -1, 0, 2, 4) ?

Possible Answers:

$\frac{25}{2}$

Correct answer:

Explanation:

We first plug each of the values into the function:

f(-6)=(-6)^2 - 1 = 35

f(-1)=(-1)^2 - 1 = 0

f(0)=(0)^2 - 1 = -1

f(2)=(2)^2 - 1 = 3

f(4)=(4)^2 - 1 = 15

Next, we put the answers in order from least to greatest:

-1, 0, 3, 15, 35

Now, to find the median, we find the value that is in the middle of the data set. Since our data set has an odd number of entries the median will be the value that have an equal number of values to either side of it. In this particular case that value lies at the third entry which is 3.

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Example Question #731 : Sat Subject Test In Math I

Find the median of: $\{2,4,7,11,17\}$

Possible Answers:

Correct answer:

Explanation:

Step 1: Define median...

The median of a set is the middle number, if the amount of numbers in a given set is odd. The median of a set with an even amount of numbers is the average of the two middle numbers in the set.

Step 2: Find the median of this set..

There is an odd number of numbers...

So, we take the middle number...

The middle number is .

So, is the median.

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Example Question #732 : Sat Subject Test In Math I

Find the median of the following set:

12, 5, 7, 15,21,17,16,13,12

Possible Answers:

Correct answer:

Explanation:

To find the median, find the number that is in the middle of the set when all of the numbers are ordered from smallest to largest.

12, 5, 7, 15,21,17,16,13,12

First order the numbers from smallest to largest:

5,7,12,12,13,15,16,17,21

In this case, the number in the middle of the set and our answer is:

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Example Question #733 : Sat Subject Test In Math I

Find the median of the following set:

41,38,27,42,35,38,44

Possible Answers:

Correct answer:

Explanation:

To find the median, find the number that is in the middle of the set when all of the numbers are ordered from smallest to largest.

41,38,27,42,35,38,44

First order the numbers in the set from smallest to largest:

27,35,38,38,41,42,44

In this case, our answer and the middle number of the set is:

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Example Question #51 : Median

Find the median of the following set:

6,91,12,31,12

Possible Answers:

Correct answer:

Explanation:

To find the median, find the number that is in the middle of the set when all of the numbers are ordered from smallest to largest.

6,91,12,31,12

First order the numbers in the set from smallest to largest:

6,12,12,31,91

In this case, our answer and the middle number of the set is:

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Example Question #52 : Median

Identify the median of the following numbers: [-4,9,3,27,-10]

Possible Answers:

Correct answer:

Explanation:

Arrange the numbers in chronological order from least to greatest.

$[-4,9,3,27,-10]\rightarrow [ -10,-4,3,9,27]$

The median is the central number.

The answer is:

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Example Question #73 : Data Analysis And Statistics

Identify the median: [-1,0,-1,0,1,0,-3,3]

Possible Answers:

$\frac{1}{2}$

$-\frac{1}{8}$

$-\frac{1}{2}$

$-\frac{1}{4}$

Correct answer:

Explanation:

Rearrange the data set from least to greatest.

$[-1,0,-1,0,1,0,-3,3]\rightarrow [-3,-1,-1,0,0,0,1,3]$

Since this data set is even, the median the average of the central two numbers.

$\frac{0+0}{2} = 0$

The answer is:

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SAT II Math I : SAT Subject Test in Math I

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

All SAT II Math I Resources

Example Questions

Example Question #731 : Sat Subject Test In Math I

Example Question #41 : Median

Example Question #39 : Median

Example Question #242 : Data Properties

Example Question #731 : Sat Subject Test In Math I

Example Question #732 : Sat Subject Test In Math I

Example Question #733 : Sat Subject Test In Math I

Example Question #51 : Median

Example Question #52 : Median

Example Question #73 : Data Analysis And Statistics

All SAT II Math I Resources

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