The mode of ungrouped data is the value that appears most frequently. For the example data set of 53, 55, 56, 56, 58, 58, 59, 59, 60, 61, 61, 62, 62, 62, 64, 65, 65, 67, 68, 68, 70, the mode is 62 as it appears three times while no other value appears more than twice. The mode is the value with the highest frequency and represents the data better than other central tendency measures as it is not affected by outliers.

2. Mode Ungroup Data

3. PRESENTRED BY
Pronob Kumar Roy
ID: 161-15-1005
Md .Sadiqur Rahman Rifat
ID: 161-15-999
Md. Mafidul Islam Porag
ID: 161-15-1022

4. What is mode in statistics
The mode is the value that appears most often
in a set of data.The mode of a discrete
probability distribution is the value x at which
its probability mass function takes its
maximum value.

5. Mode of a sample:
The mode of a sample is the element that occurs most
often in the collection. For example, the mode of the
sample [ 1, 3, 6, 6, 6, 6, 7, 7, 12, 12, 17] is 6.

6. Using Mode Real Life
• In any voting system where a plurality determines victory, a single modal
value determines the victor, while a multi-modal outcome would require
some tie-breaking procedure to take place.
• Google search rank use it. Most of the people visit which website, google
rank it top ranked page.

7. Difference Between Group & Ungrouped Data
• GROUPED DATA: When data has been organized/classified into some classes by
doing some data analysis (like done using machine learning algorithms) it is called
as grouped data.
E.g. the ages of 200 people entering a park on a Saturday afternoon.The ages have
been grouped into the classes 0-9, 10-19, 20-29, etc.
• UNGROUPED DATA: Is the opposite of grouped data with only one possible
answer.
• E.g. the ages of 200 people entering a park on a Saturday afternoon.The ages
are: 27, 8, 10, and 49 etc.

8. Mode Ungrouped Data
• The mode is defined the value that most frequently occurs in the given data;
i.e. the number whose frequency is more than others, is called the mode. It
is usually denoted by "Z".
• In order to find the mode of an ungrouped data, we have to find the
frequency of each number in the given data set.The mode is also one of the
three measures of central tendency. We can write as:
Mode =Value with highest frequency.

9. Mode Ungrouped Data Example
• The Mode is the number which appears most often there can be more than
one mode. E.g.
53, 55, 56, 56, 58, 58, 59, 59, 60, 61, 61, 62, 62, 62, 64, 65, 65, 67, 68, 68, 70.
• 62 appears three times, more often than the other values, so Mode = 62

10. Advantages of Mode :
• It is the best representative of data .
• It is not at all affected by extreme value.
• The value of mode can also be determined graphically.
• It is usually an actual value of an important part of the
series.

11. Disadvantages of Mode :
• It is not based on all observations.
• It is not capable of further mathematical manipulation.
• Mode is affected to a great extent by sampling
fluctuations.
• Choice of grouping has great influence on the value of
mode.