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PSAT Math : How to find mode

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Example Questions

Example Question #131 : Data Analysis

Screen_shot_2013-05-17_at_12.12.58_am

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

Possible Answers:

–0.5

1.0

–1.0

0.5

Correct answer:

–0.5

Explanation:

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

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Example Question #1 : How To Find Mode

Find the mode of the following set of numbers:

1, 6, 3, 6, 5, 9

Possible Answers:

Correct answer:

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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Example Question #2 : How To Find Mode

Find the mode in this set of numbers:

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

Possible Answers:

none of these

100

Correct answer:

100

Explanation:

The mode is the number that appears the most

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Example Question #134 : Data Analysis

Find the mode from the following set of numbers

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

Possible Answers:

Correct answer:

Explanation:

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

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Example Question #3 : How To Find Mode

Find the mode.

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

Possible Answers:

$\dpi{100} \small 6$

$\dpi{100} \small 8$

$\dpi{100} \small 9$

$\dpi{100} \small 5$

$\dpi{100} \small 3$

Correct answer:

$\dpi{100} \small 9$

Explanation:

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

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Example Question #3 : How To Find Mode

What is the mode of the following set of numbers?

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

Possible Answers:

23.1

Correct answer:

Explanation:

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

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Example Question #4 : How To Find Mode

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?

Possible Answers:

y < w < z < x

y< w< x< z

w< y< z< x

w < x < y < z

w < y < x < z

Correct answer:

w < y < x < z

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:

y=0

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

z = 6-(-4) = 10

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

w=-2

Since:

-2 < 0 < 0.286 < 10

we can conclude:

w<y<x<z

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Example Question #3 : How To Find Mode

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?

Possible Answers:

Correct answer:

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.

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Example Question #2 : How To Find Mode

Find the mode(s) of the following set of numbers:

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

Possible Answers:

and

4.5

Correct answer:

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.

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Example Question #5 : How To Find Mode

Find the mode of the following set of numbers:

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

Possible Answers:

Correct answer:

Explanation:

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

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PSAT Math : How to find mode

Study concepts, example questions & explanations for PSAT Math

All PSAT Math Resources

Example Questions

Example Question #131 : Data Analysis

Example Question #1 : How To Find Mode

Example Question #2 : How To Find Mode

Example Question #134 : Data Analysis

Example Question #3 : How To Find Mode

Example Question #3 : How To Find Mode

Example Question #4 : How To Find Mode

Example Question #3 : How To Find Mode

Example Question #2 : How To Find Mode

Example Question #5 : How To Find Mode

All PSAT Math Resources

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