Table of Contents

## What if there is no mode in a set of numbers?

To find the median, your numbers have to be listed in numerical order from smallest to largest, so you may have to rewrite your list before you can find the median. The “mode” is the value that occurs most often. If no number in the list is repeated, then there is no mode for the list.

## Is there ever not a mode?

Summary: The mode of a set of data is the value in the set that occurs most often. A set of data can be bimodal. It is also possible to have a set of data with no mode.

**Does every set have a mode?**

A set of data may have one mode, more than one mode, or no mode at all. Other popular measures of central tendency include the mean, or the average of a set, and the median, the middle value in a set. The mode can be the same value as the mean and/or median, but this is usually not the case.

**What if the mode is zero?**

Since the most frequently occuring value is zero (0) therefore zero (0) is the mode of the data set. Mode is a measure of central tendency. For example, mean, median and mode of the standard normal distribution are all zero.

### What if there are 2 modes?

If there are two numbers that appear most often (and the same number of times) then the data has two modes. This is called bimodal.

### Is it possible to have 3 numbers in the middle of a data set?

In order to find the median, the data must be sorted from least to greatest first. It is possible to have three numbers in the middle of a data set.

**What is a unique mode?**

The mode of a set of observations is the most commonly occurring value. For example, for a data set (3, 7, 3, 9, 9, 3, 5, 1, 8, 5) (left histogram), the unique mode is 3. Similarly, for a data set (2, 4, 9, 6, 4, 6, 6, 2, 8, 2) (right histogram), there are two modes: 2 and 6.

**Is mode the highest number?**

Mode: The most frequent number—that is, the number that occurs the highest number of times. Example: The mode of {4 , 2, 4, 3, 2, 2} is 2 because it occurs three times, which is more than any other number.

#### Can you have 3 modes?

bimodal, with two modes, trimodal, with three modes, or. multimodal, with four or more modes.

#### What is the range of a data set?

The range is the difference between the highest and lowest values within a set of numbers. To calculate range, subtract the smallest number from the largest number in the set. If a six-server rack includes 90 W, 98 W, 100 W, 102 W, 105 W and 110 W, the power consumption range is 110 W – 90 W = 20 W.

**What is the difference between mode and unique mode?**

The mode of a set of observations is the most commonly occurring value. For example, for a data set (3, 7, 3, 9, 9, 3, 5, 1, 8, 5) (left histogram), the unique mode is 3. A distribution with more than one mode is said to be bimodal, trimodal, etc., or in general, multimodal.

**When can a data set have no mode?**

If the values in a given set all occur the same number of times, the data set has no mode because no number is any more common than any other. For instance, data sets in which every value occurs once have no mode. The same is true for data sets in which every value occurs twice, three times, and so on.

## Can there be more than one mode?

In statistics, the mode in a list of numbers refers to the integers that occur most frequently. Unlike the median and mean, the mode is about the frequency of occurrence. There can be more than one mode or no mode at all; it all depends on the data set itself.

## What happens if there are two modes?

If there are two numbers that appear most often (and the same number of times) then the data has two modes. This is called bimodal. If there are more than 2 then the data would be called multimodal. If all the numbers appear the same number of times, then the data set has no modes.