Mean

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SAT Subject Test in Math II › Mean

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1

Find the mode of the data set.

CORRECT

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Explanation

The mode of a data set is the data point(s) that appear the most often.

In the data set for this problem, both 4 and 5 appear twice, and no other number appears more than twice.

So for this data set there are two modes, 4 and 5.

2

Determine the mean:

CORRECT

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Explanation

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

Add the numbers, and divide the total sum by four, since there are four numbers.

The answer is:

3

Stem_and_leaf

Above is the stem-and-leaf display for a group of test scores. Order the mean, the median, and the mode of the scores from least to greatest.

Mean, median, mode

CORRECT

Mean, mode, median

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Mode, median, mean

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Median, mean, mode

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Median, mode, mean

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Explanation

The scores represented can be found from matching the tens digits in the "stem" to the units digits that form the "leaves" in their row. For example, the "leaves" in the "5" row are "2 2 4 4 7 7 8", so the scores will be 52, 52, 54, 54, 57, 57, and 58.

There are 53 scores represented, so to find the median, look for the middle score, in position

.

As can be seen in this diagram, the score - the median - is 74.

Stem_and_leaf_1

The most frequently occurring "leaf" is the "6" in the "7" row, so the mode is 76.

The mean is the sum of the scores divided by 53. If we add the scores, we get

, the mean is

In ascending order, the values are mean, median, mode.

4

Find the mean of the following numbers:

CORRECT

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Explanation

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

The answer is:

5

Find the mean of the following data set:

CORRECT

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Explanation

Find the mean of the following data set:

To find the mean, add up all the terms and divide by the total number of terms.

We have 9 terms, so our denominator will be 9.

So our mean is 67.33

6

Find the mean of the numbers:

CORRECT

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Explanation

The mean is the average of all the numbers given.

Add all the numbers and divide the total by five.

The answer is:

7

Determine the mean of the three numbers:

CORRECT

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Explanation

The mean is the average of the numbers provided.

Sum the numbers and divide the sum by three.

The answer is: