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SAT II Math I : Mean

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

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Example Questions

Example Question #21 : Data Analysis And Statistics

Find the mean of the following set:

$\displaystyle 41,38,27,42,35,38,44$

Possible Answers:

$\displaystyle 53$

34.9 $\displaystyle 34.9$

31.7 $\displaystyle 31.7$

37.9 $\displaystyle 37.9$

Correct answer:

37.9 $\displaystyle 37.9$

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 7 numbers in the set, meaning we will divide our answer by 7.

$\frac{41+38+27+42+35+38+44}{7}=\frac{265}{7}=37.9$ $\displaystyle \frac{41+38+27+42+35+38+44}{7}=\frac{265}{7}=37.9$

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Example Question #22 : Data Analysis And Statistics

Find the mean of the following set:

$\displaystyle 6,91,12,31,12$

Possible Answers:

$\displaystyle 38$

30.4 $\displaystyle 30.4$

25.3 $\displaystyle 25.3$

24.6 $\displaystyle 24.6$

Correct answer:

30.4 $\displaystyle 30.4$

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 5 numbers in the set, meaning we will divide our answer by 5.

$\frac{6+91+12+31+12}{5}=\frac{152}{5}=30.4$ $\displaystyle \frac{6+91+12+31+12}{5}=\frac{152}{5}=30.4$

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Example Question #23 : Data Analysis And Statistics

Determine the mean of the following numbers: $\displaystyle [4,1,25,2,10,15]$

Possible Answers:

$\frac{19}{2}$ $\displaystyle \frac{19}{2}$

$\frac{57}{3}$ $\displaystyle \frac{57}{3}$

$\displaystyle 12$

$\frac{25}{2}$ $\displaystyle \frac{25}{2}$

$\displaystyle 24$

Correct answer:

$\frac{19}{2}$ $\displaystyle \frac{19}{2}$

Explanation:

The mean is the average of all the numbers in the set of data.

Add all the numbers and divide by 6.

$\frac{4+1+25+2+10+15}{6} = \frac{57}{6} = \frac{19\times 3}{2\times 3}$ $\displaystyle \frac{4+1+25+2+10+15}{6} = \frac{57}{6} = \frac{19\times 3}{2\times 3}$

The answer is: $\frac{19}{2}$ $\displaystyle \frac{19}{2}$

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Example Question #24 : Data Analysis And Statistics

Determine the mean of the numbers: $\displaystyle [9,-6,-3,-11]$

Possible Answers:

$\textup{The mean does not exist.}$ $\displaystyle \textup{The mean does not exist.}$

$-\frac{11}{4}$ $\displaystyle -\frac{11}{4}$

$\frac{29}{4}$ $\displaystyle \frac{29}{4}$

$\displaystyle 3$

$\frac{11}{4}$ $\displaystyle \frac{11}{4}$

Correct answer:

$-\frac{11}{4}$ $\displaystyle -\frac{11}{4}$

Explanation:

The mean is the average of all the numbers in the data set.

Add the numbers provided.

$\displaystyle 9+(-6)+(-3)+(-11) = -11$

Divide this value by four.

$\frac{-11}{4}$ $\displaystyle \frac{-11}{4}$

The answer is: $-\frac{11}{4}$ $\displaystyle -\frac{11}{4}$

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Example Question #25 : Data Analysis And Statistics

Determine the mean of the following numbers: $\displaystyle [-2,-6,11,13,2,0]$

Possible Answers:

$\displaystyle 3$

$\displaystyle 4$

$\frac{17}{3}$ $\displaystyle \frac{17}{3}$

$\frac{18}{5}$ $\displaystyle \frac{18}{5}$

$\displaystyle 9$

Correct answer:

$\displaystyle 3$

Explanation:

The mean is the average of all the numbers in the data set.

Add all the numbers and divide by six.

$\displaystyle -2+(-6)+11+13+2+0 = 18$

$\frac{18}{6}=3$ $\displaystyle \frac{18}{6}=3$

The answer is: $\displaystyle 3$

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All SAT II Math I Resources

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SAT II Math I : Mean

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

All SAT II Math I Resources

Example Questions

Example Question #21 : Data Analysis And Statistics

Example Question #22 : Data Analysis And Statistics

Example Question #23 : Data Analysis And Statistics

Example Question #24 : Data Analysis And Statistics

Example Question #25 : Data Analysis And Statistics

All SAT II Math I Resources

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