How to find mode - SAT Math

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Question

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

Answer

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

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Question

Find the mode of the following set of numbers:

1, 6, 3, 6, 5, 9

Answer

Mode is the most frequently occuring number in a set. 6 appears most frequently since there are 2 sixes but the rest of the numbers only appear once. The mode is 6

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Question

Find the mode in this set of numbers:

2, 100, 52, 97, 1, 7, 22, 19, 100

Answer

The mode is the number that appears the most

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Question

Find the mode from the following set of numbers

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

Answer

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

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Question

Find the mode.

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

Answer

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

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Question

What is the mode of the following set of numbers?

24, 38, 26, 27, 7, 27, 34, 12, 13

Answer

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

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Question

Consider the following dataset:

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?

Answer

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:

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:

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Question

What is the mode of the data set?

Answer

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:

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Question

What is the mode in this set?

Answer

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: $\textup{No mode.}$

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Question

Find the mode of the set of numbers:

Answer

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 .

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.

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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Question

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?

Answer

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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Question

Find the mode of the following set of numbers:

1,5,14,17,22,23,23

Answer

To find the mode, you must remember that mode is the most frequently occurring number. Thus, you just look for the number that appears the most. Thus, our answer is 23.

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Question

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

Answer

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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Question

A set of 6 numbers is listed below.

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:

Answer

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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Question

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

.

What is the mode of this collection of data?

Answer

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.

came up times.

came up times.

came up times.

came up times.

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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Question

Determine the mode of the Dot Plot.

Answer

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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Question

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?

Answer

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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Question

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

Answer

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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Question

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

Answer

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

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Question

Find the mode of the following set of numbers:

1, 6, 3, 6, 5, 9

Answer

Mode is the most frequently occuring number in a set. 6 appears most frequently since there are 2 sixes but the rest of the numbers only appear once. The mode is 6

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