How to find mode

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SAT Math › How to find mode

Questions 1 - 10

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

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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Looking at the table, what is the difference of the mean minus the mode.

–0.5

1.0

0.5

–1.0

Explanation

The mode is 3 and subtracting 3 from 2.5 gives -0.5.

Find the mode from the following set of numbers

1, 4, 8, 17, 8, 8, 15, 21, 32, 17

Explanation

The mode is the number that appears the most in a given set of numbers

Find the mode.

$\dpi{100} \small 9,6,9,6,5,9,8,3$

$\dpi{100} \small 9$

$\dpi{100} \small 6$

$\dpi{100} \small 5$

$\dpi{100} \small 8$

$\dpi{100} \small 3$

Explanation

The mode is the number that appears the most often. 9 appears three times.

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?

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.

Consider the following dataset:

$\{ -2 , 0 , 1, -4 , 6 , -2, 3 \}$

The arithmetic mean of the dataset is .

The median of the dataset is .

The range of the dataset is .

The mode of the dataset is .

Which of the following statements is true?

Explanation

In general:

$\mbox{ (arithmetic mean) } = \dfrac{ \mbox{ sum of all values } }{ \mbox{ number of observations } }$

In this case the mean is:

$x = \dfrac{(-2)+0+1+(-4)+6+(-2)+3}{7} = 0.286$

To obtain the median, arrange the observations from smallest to largest:

$\{ -4,-2,-2,0,1,3,6 \}$

When there is an odd number of observations, the median is the middle value. In this case:

The range is the difference between the largest and smallest value:

The mode is the value that occurs most often in the dataset:

Since:

we can conclude:

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

$\ Mean=5 \ Mode=6$

$\ Mean=6 \ Mode=5$

$\ Mean=6 \ Mode=6$

$\ Mean=7 \ Mode=5$

$\Mean=35 \ Mode=6$

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.

What is the mode of the data set?

$1, 2, \textup{and }3$

$1\textup{ and }3$

$\frac{7}{2}$

$\textup{There is no mode.}$

Explanation

The mode is the most frequent number or numbers that happen in a set of numbers. There can be more than one mode.

The data set is already in order from smallest to largest. Since there are three of each number, 1,2 and 3, all of the numbers are considered to be the mode.

The correct answer is:

What is the mode in this set?

$\textup{No mode.}$

Explanation

The definition of mode is the numbers with the highest frequency in the set.

Since there is only one frequency of every number in this dataset, there will be no mode existent in the set.

The answer is: $\textup{No mode.}$

Find the mode of the set of numbers:

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 .