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Quartile

The document outlines a Grade 10 mathematics lesson focused on calculating and interpreting quartiles and medians for ungrouped data. It includes examples of finding the median for various datasets and detailed calculations for quartiles based on the scores of 20 students. Additionally, it provides interpretations of the quartiles to understand student performance distribution.

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Rheaiane Leigh Constantino Sagisi
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8 views2 pages

Quartile

The document outlines a Grade 10 mathematics lesson focused on calculating and interpreting quartiles and medians for ungrouped data. It includes examples of finding the median for various datasets and detailed calculations for quartiles based on the scores of 20 students. Additionally, it provides interpretations of the quartiles to understand student performance distribution.

Uploaded by

Rheaiane Leigh Constantino Sagisi
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as DOCX, PDF, TXT or read online on Scribd
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Mathematics – Grade 10

Quarter: FOURTH (Week 1 - Day 1 to 4)


Most Essential Learning Competency: Illustrates the given measures of position.
Calculates a specified measure of position.

Objective: Compute and interpret quartiles for ungrouped data.

Name: ___________________________ Score: __________

Grade level and Section: ___________________________ Date: __________

Find the Median


Data: 3, 5, 9, 1, 8, 7, 6
Arranged Data: 1, 3, 5, 6, 7, 8, 9
Median: 6

Data: 16, 18, 10, 11, 36, 28, 25


Arranged Data: 10, 11, 16, 18, 25, 28, 36
Median: 18

Data: 5, 20, 10, 25, 40, 35, 1, 46


Arranged Data: 1, 5, 10, 20, 25, 35, 40, 46
Median: 22.5

Data: 24, 19, 12, 1, 3, 9, 7, 29


Arranged Data: 1, 3, 7, 9, 12, 19, 24, 29
Median: 10.5

Data: 3, 9, 4, 15, 19, 21


Arranged Data: 3, 4, 9, 15, 19, 21
Median: 12

Find the Quartiles and Interpret


Given Scores of 20 Students:
Data: 25, 19, 16, 23, 24, 20, 15, 19, 15, 16, 8, 10, 11, 9, 15, 23, 19, 21, 19, 25

Arranged Data: 8, 9, 10, 11, 15, 15, 15, 16, 16, 19, 19, 19, 19, 20, 21, 23, 23, 24, 25, 25

n: 20
Q1 Position: (1(20+1))/4 = 5.25

Q1 Value: 15

Q2 Position: (2(20+1))/4 = 10.5

Q2 Value: (19+19)/2 = 19

Q3 Position: (3(20+1))/4 = 15.75

Q3 Value: 23

Interpretation:
- Q1: 25% of students scored ≤ 15
- Q2: 50% of students scored ≤ 19
- Q3: 75% of students scored ≤ 23

Step-by-Step Solutions
All computations for quartiles, deciles, and percentiles are provided in detail.
Refer to each section for formula applications and calculations.

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