### All PSAT Math Resources

## Example Questions

### Example Question #1 : How To Find Mode

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

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

### Example Question #1 : How To Find Mode

Find the mode of the following set of numbers:

1, 6, 3, 6, 5, 9

**Possible Answers:**

8

5

6

9

**Correct answer:**

6

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

### 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:**

1

none of these

97

2

100

**Correct answer:**

100

The mode is the number that appears the most

### Example Question #3 : How To Find Mode

Find the mode from the following set of numbers

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

**Possible Answers:**

21

8

4

17

15

**Correct answer:**

8

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

### Example Question #4 : How To Find Mode

Find the mode.

**Possible Answers:**

**Correct answer:**

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

### Example Question #5 : 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:**

**Correct answer:**

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

### Example Question #6 : How To Find Mode

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?

**Possible Answers:**

**Correct answer:**

In general:

In this case the mean is:

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:

### Example Question #1 : 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:**

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.

### Example Question #2 : How To Find Mode

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

**Possible Answers:**

and

and

and

**Correct answer:**

and

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.

### Example Question #3 : How To Find Mode

Find the mode of the following set of numbers:

**Possible Answers:**

**Correct answer:**

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

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