Measuring Mean, Median, Mode, and Range Data Management Presentation in Colorful Bold Illustrative Style.pdf

PRE-ASSESSMENT
Which is not a measure of central tendency?
A. Mean
B. Median
C. Range
D. Mode

PRE-ASSESSMENT
The number of kilos of rice each household in a Sitio in Iba, Zambales
received from relief goods are: 5, 5, 10, 15, and 20. What is the mean
amount of rice?
A. 10
B. 11
C. 12
D. 13

PRE-ASSESSMENT
In a barangay cleanup drive, the number of volunteers
per street were: 12, 15, 12, 18, 12. What is the mode?
A. 12
B. 15
C. 18

PRE-ASSESSMENT
The following are prices of tilapia per kilo in San Marcelino market:
₱100, ₱110, ₱120, ₱115, ₱105. What is the median price?
A. ₱105
B. ₱110
C. ₱115
D. ₱120

PRE-ASSESSMENT
Which of the following best describes the mode?
A. Most frequent number
B. Highest value
C. Middle value
D. Difference between highest and lowest

PRE-ASSESSMENT
A teacher in San Felipe recorded quiz scores: 10, 15, 20, 25, and
80. Which measure is least affected by the high score (80)?
A. Mean
B. Mode
C. Median
D. All are equally affected

PRE-ASSESSMENT
During the fiesta in Botolan, students listed the number of
games they joined: 2, 3, 2, 4, 2. The mode is:
A. 2
B. 3
C. 4
D. 5

PRE-ASSESSMENT
If the median age of SK members in a barangay is 18, this
means:
A. All are 18
B. The middle value is 18
C. 18 is most common
D. Age difference is 18

PRE-ASSESSMENT
What is the middle value of the sorted data: 10, 20, 30, 40,
50?
A. 20
B. 30
C. 40
D. 50

MEASURE
OF CENTRAL
TENDENCY
Mean, Median and Mode

Objectives
1.Illustrate the measure of the central tendency(
mean, median and mode) of the statistical data.
2.Calculate the measure of the central tendency of
ungrouped and grouped data.
3.Use appropriate statistical measure in analyzing and
interpreting data.
In this presentation we will:

MATH-ARRANGE
ACTIVITY:
7 representative from the class. Student need to follow
what the instructor says:

Araange yourself ACCORDING TO:
According to...
YOUR AGE
Who is in the middle?
Who is in the youngest?
Who is in the oldest?
Do we have same age?

Araange yourself ACCORDING TO:
According to...
SIZE OF YOUR SHOES
Who is in the middle?
Who is the smallest size?
Do we have same size?
Who is the biggest size?

Mean is the average of the number set.
Mean
To calculate mean, we add together all the
numbers (n) in a set, and then divide by
the total count of numbers (n) in the set.
Mean = (sum of all numbers) ÷ (total
count of numbers)

Let’s use this number set as an example.
Mean - Example
Mean = (sum of all numbers) ÷ (total
count of numbers)
Age of fiftheen students of Grade 8
Mean = (10 + 15 + 20 + 25 + 30) ÷ (5)
Mean = 20

BOARD WORK
Test Scores of 5 students in
Math Quiz . find the mean.
85, 90, 88, 92, 95
Scores: 90

BOARD WORK
Five farmers harvested: 120
kg, 135 kg, 140 kg, 125 kg,
and 130 kg of mangoes.
Scores: 130 kg.

SEATWORK: Find the Mean of the given data.
1. The number of assignments given in a week by different teachers:
3, 4, 5, 2, 6.
2. The number of minutes spent in reading during Homeroom Time at St. William:
10, 12, 15, 10, 13
3. Number of chairs prepared in Grade 8 classrooms for an event:
40, 42, 38, 41, 39
4. The number of Grade 8 students who participated in school clean-up drive each day:
15, 18, 20, 17, 19
5. Number of pieces of paper used in one week for classroom activities:
10, 12, 15, 13, 11

Median is the middle number in a set
where the numbers are arranged from
smallest to largest.
Median
If the number set is odd, the middle
number is the median.
If the number set is even, the middle
number is the average of the two middle
numbers.

Let’s use this number set:
Median - Example #1
{12, 25, 18, 20, and 15}
First arrange numbers from smallest to
largest.
{12, 15, 18, 20, and 25}
This number set is odd because there are
5 numbers in the set. The medium is 18.

Let’s use this number set:
Median - Example #2
{12, 25, 18, 20}
First arrange numbers from smallest to largest.
{12, 18, 20, and 25}
This number set is even because there are 4
numbers in the set. We take the average of the
two middle numbers.
Median = (18 + 20) ÷ 2 = 19

Mode is the number that appears most
often in a number set.
Mode
A number set can have:
one mode
a number of modes
no modes at all

Let’s take a look at this number set.
Mode - Example
{7, 8, 9, 9, 10, 10, 12}
This set has two numbers that appear
more than once. Therefore the modes for
this set are 9 and 10.

Range is the difference between the
largest and smallest values in a number
set.
Range
Range = (largest value) - (smallest value)

Let’s look at this number set:
Range - Example
Range = (largest value) - (smallest value)
{5, 10, 15, 20, and 25}
Range = 25 - 5
Range = 20

Mean
Median
Mode
Range
Let’s Practice!
Find each of the following:
{5, 10, 12, 15, 12, 20, and 25}

Mean 13.85
Median 12
Mode 12
Range 20
Let’s Practice! (Answers)
Find each of the following:
{5, 10, 12, 15, 12, 20, and 25}

Let’s look at real world examples of when
to use mean, median, mode and range.
Real World Examples
Average test scores in a class
Middle income salary in a city
Most common shoe sizes in a store
Temperature ranges in a month

To summarize what we learned today,
take notes on key words.
Summary
MEAN is the AVERAGE number
MEDIAN is the MIDDLE number
MODE is the COMMON number
RANGE is the DIFFERENCE between
the largest and smallest number

Measuring Mean, Median, Mode, and Range Data Management Presentation in Colorful Bold Illustrative Style.pdf

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