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SAT Math : Mode

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Example Question #111 : Statistics

Find the mode of the set of numbers:

2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,5,5,6,7,8,9,10

Possible Answers:

Correct answer:

Explanation:

Step 1: We must define the mode of a set. The mode of a set is defined as a number in a given set that you see the most often when compared to other numbers in the set.

Step 2: Let's go through the data and see what numbers we have:

We see that in the given set, we have the numbers 2,3,4,5,6,7,8,9,10 .

Step 3: Count how many times each number appears and record down the results:

appears five times

appears seven times.

appears three times.

appears two times.

6,7,8,9,10 all appear 1 time each.

Step 4: Compare the number of times each number repeats and choose the highest number, which is the mode.

The highest number is , which means that the mode of the set of number is .

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Example Question #11 : How To Find Mode

Ms. Shannon gives her class a math test. The following represent their scores:

100, 100, 90, 98, 97, 96, 96, 86, 84, 96, 87, 70, 100, 96

What is the mode of the class's scores?

Possible Answers:

100

Correct answer:

Explanation:

The mode of a set of numbers is the number that occurs most often.

100, 100, 90, 98, 97, 96, 96, 86, 84, 96, 87, 70, 100, 96

The above sets when put in ascending order is,

70, 84, 86, 87, 90, 96, 96, 96, 96, 97, 98, 100, 100, 100

100 occurs 3 times

96 occurs 4 times

and all other values occur only once.

In this case, the score that occurs most often is 96.

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Example Question #11 : How To Find Mode

Find the Mean and Mode of the data set. ${\left \{ 1,8,6,4,7,3,6}\right\}$

Possible Answers:

$\\ Mean=5 \\ Mode=6$

$\\Mean=35 \\ Mode=6$

$\\ Mean=6 \\ Mode=6$

$\\ Mean=6 \\ Mode=5$

$\\ Mean=7 \\ Mode=5$

Correct answer:

$\\ Mean=5 \\ Mode=6$

Explanation:

The mean is the average of the data

$\frac{1+8+6+4+7+3+6}{7}=\frac{35}{7}=5$

The mode is the data point that appears the most often. In this case the mode is because it appears twice.

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Example Question #141 : Data Analysis

A set of 6 numbers is listed below.

[12, 14, 16, 18, 20, 22]

is an even integer that is greater than 10 but less than 21. If is added to the set of numbers, all of the following could be the mode except:

Possible Answers:

Correct answer:

Explanation:

The mode is the value that occurs most in a set of numbers.

Because n is a whole, even number that is greater than 10 and less than 21, it must be either 12, 14, 16, 18 or 20. Because n cannot be 22, 22 cannot be the mode.

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Example Question #11 : How To Find Mode

Alice rolled a single -sided die times and recorded the top number of the die after each roll. Her results were:

1,5,2,6,2,6,3,4,1,2, 5,4,6,1,3,2,4,2,5,2,1,5,3,3,1 .

What is the mode of this collection of data?

Possible Answers:

Correct answer:

Explanation:

The "mode" is defined as thevalue which occurs most often in a collection of data. To determine which number came up most often during Alice's rolls of a single die, count how many times the numbers through appeared in the data set:

came up times.

Since the number was rolled most often, is the mode of this set of recorded throws of the die.

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Example Question #41 : New Sat Math Calculator

Screen shot 2016 02 11 at 1.26.48 pm

Determine the mode of the Dot Plot.

Possible Answers:

$\text{Mode}=3$

$\text{Mode}=4$

$\text{Mode}=10$

$\text{Mode}=5$

$\text{Mode}=9$

Correct answer:

$\text{Mode}=10$

Explanation:

To determine the mode, we need to count how many diamonds are on each number. The mode is the most frequently occurring number.

Since has a frequency of , it is the mode.

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Example Question #52 : New Sat Math Calculator

Week 1 Homework Time Week 2 Homework Time

$\vline\begin{tabular}{cccc} \hline Monday & 4\\ Tuesday & 5\\ Wednesday & 3\\ Thursday & 2\\ Friday & 1\\ Saturday & 6\\ Sunday & 3\\ \hline \end{tabular}\vline$ $\vline\begin{tabular}{cccc} \hline Monday & 2\\ Tuesday & 3\\ Wednesday & 4\\ Thursday & 1\\ Friday & 3\\ Saturday & 1\\ Sunday & 6\\ \hline \end{tabular}\vline$

The above tables show how much time Amanda spent doing homework during the first 2 weeks of school. Which week has the largest standard deviation?

Possible Answers:

$S_{w_2}$

$S_{w_1}$

Correct answer:

$S_{w_2}$

Explanation:

The first step is to calculate the mean for each table.

$\bar{w_1}=\frac{4+5+3+2+1+6+3}{7}=\frac{24}{7}$

$\bar{w_2}=\frac{2+3+4+1+3+1+6}{7}=\frac{20}{7}$

Recall how to find the standard deviation

$S=\sqrt{\frac{1}{n-1}\sum_{i=0}^{n} (x_i-\bar{x})^2}$

Now we will apply this to each table.

$S_{w_1}=\sqrt{\frac{\left(4-\frac{24}{7}\right)^2+\left(5-\frac{24}{7}\right)^2+\left(3-\frac{24}{7}\right)^2+\left(2-\frac{24}{7}\right)^2+\left(1-\frac{24}{7}\right)^2+\left(6-\frac{24}{7}\right)^2+\left(3-\frac{24}{7}\right)^2}{6}}$

$S_{w_1}=1.71825$

$S_{w_2}=\sqrt{\frac{\left(2-\frac{20}{7}\right)^2+\left(3-\frac{20}{7}\right)^2+\left(4-\frac{20}{7}\right)^2+\left(1-\frac{20}{7}\right)^2+\left(3-\frac{20}{7}\right)^2+\left(1-\frac{20}{7}\right)^2+\left(6-\frac{20}{7}\right)^2}{6}}$

$S_{w_2}=1.7728$

Since $S_{w_2}>S_{w_1}$ , $S_{w_2}$ is our answer

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Example Question #11 : How To Find Mode

There are ten numbers in a set. The numbers are 6, 4, 10, 12, 2, 6, 4, 5, 3, and 4. Find the mode.

Possible Answers:

5.6

Correct answer:

Explanation:

The mode is the number that appears most frequently in a set. It is the most common number. The number 4 appears three times in the set and more than any other number. Therefore, it is the mode.

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SAT Math : Mode

Study concepts, example questions & explanations for SAT Math

All SAT Math Resources

Example Questions

Example Question #111 : Statistics

Example Question #11 : How To Find Mode

Example Question #11 : How To Find Mode

Example Question #141 : Data Analysis

Example Question #11 : How To Find Mode

Example Question #41 : New Sat Math Calculator

Example Question #52 : New Sat Math Calculator

Example Question #11 : How To Find Mode

All SAT Math Resources

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