How to find mode

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PSAT Math › How to find mode

Questions 1 - 10

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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 of the following set of numbers:

$\left { -1,6,5,6,-2,4 \right }$

Explanation

The mode is the most frequently occurring number in a data set. In this instance, that is .

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

Marker Colors	Students
Blue	13
Pink	10
Orange	5
Brown	5
Green	7

The above chart shows the number of students in a class who chose each of the five marker colors available.

What is the mode of the above chart?

Explanation

The mode of a problem is the most common number, i.e. the number that appears the most times in a given set of data. In this case, only one number is repeated. Therefore, the mode is 5.

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.

What is the mode of the following set of numbers?

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

Explanation

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

Find the mode in this set of numbers:

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

100

none of these

Explanation

The mode is the number that appears the most

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?

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:

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 mode(s) of the following set of numbers:

$\begin{Bmatrix} 1,2,2,3,3,3,4,4,4,5,5,6 \end{Bmatrix}$

and

Explanation

The mode is the most frequently represented number in a data set. In this instance, that is and . There can be more than one mode.

Find the mode of the following set of numbers:

1, 6, 3, 6, 5, 9

Explanation

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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