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SAT II Math I : Data Analysis and Statistics

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 #23 : Mode

Find the mode of the following set:

6,91,12,31,12

Possible Answers:

Correct answer:

Explanation:

The mode of the set is the number in the set that is repeated the greatest number of times.

6,91,12,31,12

For this set, our answer and the number that is most repeated is:

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Example Question #24 : Mode

Determine the mode of the numbers: [0,0,1,1,-1,5,3]

Possible Answers:

$\frac{9}{7}$

-1,3,5

$\frac{1}{2}$

0,1

Correct answer:

0,1

Explanation:

The mode includes all the numbers that occur most often in the set of data.

The only numbers that appear more than once are zero and one.

The other numbers such as -1,3,5 occur only once.

The answer is: 0,1

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Example Question #101 : Data Analysis And Statistics

Find the range of the following set of numbers:

5,3,2,3,3,7,9,2

Possible Answers:

Correct answer:

Explanation:

First, we must order these numbers from smallest to largest.

2,2,3,3,3,5,7,9

Next, subtract the smallest from the largest.

9-2=7

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Example Question #102 : Data Analysis And Statistics

Find the range of the following set of numbers:

4,1,-2,5,1,8,9

Possible Answers:

Correct answer:

Explanation:

First, we must order these numbers from smallest to largest.

-2,1,1,4,5,8,9

Next, subtract the smallest from the largest.

9-(-2)=11

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Example Question #3 : Range

What is the range of the function?

y=2x^2+7

Possible Answers:

$[7, \infty)$

(-7,7)

$(0, \infty)$

$(-\infty, \infty)$

Correct answer:

$[7, \infty)$

Explanation:

To find the range of a function we need to find the y values that the function will cover. To do this we can create a table of values identifying the x and y values of the function.

In our case we get the following

x=0 y=2(0)^2+7 y=7

x=1 y=2(1)^2+7 y=9

x=-1 y=2(-1)^2+7 y=9

x=2 y=2(2)^2+7 y=15

x=-2 y=2(-2)^2+7 y=15

We see that these values great a parabola opening up and the y values at the lowest point is 7 and goes up to infinity. Therefore, the range of this function is

$(7, \infty)$

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Example Question #3 : Range

What is the range?

23, 24, 16, 18, 86, 77, 92, 103

Possible Answers:

Correct answer:

Explanation:

Range is the difference between the largest and smallest number in the set. In this case the smallest number is and the largest number is 103 . The difference between the two numbers is .

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Example Question #4 : Range

What is the range?

-3, -4, -11, -23, -9, 4, 35, -10

Possible Answers:

Correct answer:

Explanation:

Range is the difference between the biggest and smallest number in the set. The smallest number in the set is . Remember, the bigger the negative value, the smaller it is. The largest number in the set is . We take the difference. Two minus signs become a plus so our answer is .

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Example Question #4 : Range

If the maximum in a set goes up by , how does this affect the range?

Possible Answers:

The range goes up by .

The range goes down by .

The range stays the same.

The range goes up by .

An answer cannot be determined with the information given.

Correct answer:

The range goes up by .

Explanation:

The range is the distance from the maximum number to the minimum number of a set.

If the max goes up by , then the max will be more values away from the min than it was before.

This will increase your range by .

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Example Question #103 : Data Analysis And Statistics

What is the range of: $\{2,7,3,-4,11,-11,34,23,71\}$ ?

Possible Answers:

Correct answer:

Explanation:

Step 1: Arrange the numbers from smallest to largest...

$\{-11,-4,2,3,7,11,23,34,71\}$

Step 2: Subtract the smallest number FROM the largest number...

71-(-11)

Step 3: Evaluate..

71-(-11)=71+11=82

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Example Question #104 : Data Analysis And Statistics

Find the range of the following set:

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

Possible Answers:

Correct answer:

Explanation:

To find the range of a set, subtract the smallest number in the set from the largest number in the set.

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

For this set, the smallest number is 5 and the largest number is 16. To solve, subtract these numbers:

21-5=16

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All SAT II Math I Resources

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SAT II Math I : Data Analysis and Statistics

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

All SAT II Math I Resources

Example Questions

Example Question #23 : Mode

Example Question #24 : Mode

Example Question #101 : Data Analysis And Statistics

Example Question #102 : Data Analysis And Statistics

Example Question #3 : Range

Example Question #3 : Range

Example Question #4 : Range

Example Question #4 : Range

Example Question #103 : Data Analysis And Statistics

Example Question #104 : Data Analysis And Statistics

All SAT II Math I Resources

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