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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 #11 : Mean

In terms of , what is the mean of d, d-9, d+3, d+2 ?

Possible Answers:

2d+4

4d+4

d-1

3d-1

d-2

Correct answer:

d-1

Explanation:

Recall how to find the mean:

$\text{Mean/Average}=\frac{\text{Sum of all values}}{\text{Number of values}}$

$\text{Mean}=\frac{d+(d-9)+(d+3)+(d+2)}{4}=\frac{4d-4}{4}=d-1$

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Example Question #11 : Mean

In terms of , what is the mean of $f-1, f+2, f-6, f-5, \text{ and }f+15$ ?

Possible Answers:

f+1

f+3

f+5

f-1

2f-1

Correct answer:

f+1

Explanation:

Recall how to find the mean:

$\text{Mean/Average}=\frac{\text{Sum of all values}}{\text{Number of values}}$

$\text{Mean}=\frac{(f-1)+(f+2)+(f-6)+(f-5)+(f+15)}{5}=\frac{5f+5}{5}=f+1$

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Example Question #12 : Mean

The average of $x, x+5, x+6, x-7, \text{ and }x-9$ is . Find the sum of the largest and smallest numbers for this set of numbers.

Possible Answers:

Correct answer:

Explanation:

Recall how to find the mean:

$\text{Mean/Average}=\frac{\text{Sum of all values}}{\text{Number of values}}$

$3=\frac{x+(x+5)+(x+6)+(x-7)+(x-9)}{5}$

5x-5=15

5x=20

x=4

The smallest number in this set is x-9 , which is . The largest number is x+6 , which is .

The sum of these two numbers is then given by the following:

-5+10=5

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Example Question #13 : Mean

The average for a set of numbers is . After another number is added to the set, the average changes to . What number was added to the set?

Possible Answers:

The answer cannot be determined with the information given.

Correct answer:

Explanation:

Recall how to find the mean:

$\text{Mean/Average}=\frac{\text{Sum of all values}}{\text{Number of values}}$

First, find the sum of all the values when there are just numbers in the set.

$24=\frac{\text{Sum}}{5}$

$\text{Sum}=120$

Next, find the sum of all the values when there are numbers in the set.

$26=\frac{\text{Sum}}{6}$

$\text{Sum}=156$

To find what number is added, take the difference between the sum of values and the sum of values.

$\text{New number}=156-120=36$

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Example Question #14 : Mean

In terms of , what is the average of $j, 3j+1, j-5, \text{ and }3j+4$ ?

Possible Answers:

2j-2

j+8

4j-1

j+3

Correct answer:

Explanation:

Recall how to find the mean:

$\text{Mean/Average}=\frac{\text{Sum of all values}}{\text{Number of values}}$

$\text{Average}=\frac{j+(3j+1)+(j-5)+(3j+4)}{4}=\frac{8j}{4}=2j$

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Example Question #11 : Data Analysis And Statistics

Jack has an average of on four exams. If he has one more exam and he wants to bump his average up by points, what must he score to get that average he wants?

Possible Answers:

Correct answer:

Explanation:

First, we need to find the total number of points for his fourth exam. That would be 80*4 or 320 . The reason we do this is because we can calculate his point total with the new average and determine his final score by taking the difference. So 82*5=410 . We subtract 410 and 320 to get as our answer.

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Example Question #12 : Data Analysis And Statistics

If Joe received a 90,100,85, and on his first four exams, what would he need to get on the final exam in order to finish with an average of ?

Possible Answers:

Correct answer:

Explanation:

The equation to find the average of his five grades would look like

$\frac{90+100+85+97+x}{5}=94$ .

You must solve for , so the first step is to multiple both sides by to get

90+100+85+97+x=470 .

Then you subtract all of the other grades from the total of 470 to get a final answer of for the grade of the final exam.

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Example Question #13 : Data Analysis And Statistics

What is the mean of: $\{2,5,10,77,241,33\}$ ?

Possible Answers:

$61.\overline{33}$

61.3

61.33

Correct answer:

$61.\overline{33}$

Explanation:

Step 1: Find the sum of the values...

2+5+10+77+241+33=368

Step 2: Find how many numbers are given...

There are numbers.

Step 3: To find the mean, divide the sum by how many numbers....

$\frac {368}{6}=61.\overline{33}$

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Example Question #14 : Data Analysis And Statistics

Find the mean of: $\{2,2,4,4,6,6,8,8,12,12,7,6,5,4,3,3,3,3,3,33,41\}$

Possible Answers:

8.3

$8.\overline {33}$

8.333

8.33

Correct answer:

$8.\overline {33}$

Explanation:

Step 1: Find the sum of all the numbers...

$2+2+4+4+6+6+8+8+12+12+7+\\6+5+4+3+3+3+3+3+33+41=175$

Step 2: Count how many numbers there are...

There are elements.

Step 3: Divide the total sum by the number of elements...

$\frac {175}{21}=8.\overline {33}$

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Example Question #15 : Data Analysis And Statistics

Find the mean of the following set:

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

Possible Answers:

13.1

16.9

Correct answer:

13.1

Explanation:

Another word for mean is average. To find the average of this set of numbers, add them up, then divide by the amount of numbers in the set. In this case there are 9 numbers in the set, meaning we will divide our answer by 9.

$\frac{12+5+7+15+21+17+16+13+12}{9}=$

$\frac{118}{9}=13.1$

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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 #11 : Mean

Example Question #11 : Mean

Example Question #12 : Mean

Example Question #13 : Mean

Example Question #14 : Mean

Example Question #11 : Data Analysis And Statistics

Example Question #12 : Data Analysis And Statistics

Example Question #13 : Data Analysis And Statistics

Example Question #14 : Data Analysis And Statistics

Example Question #15 : Data Analysis And Statistics

All SAT II Math I Resources

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