4 PICS 1 WORD

M A S EE UR

P OSTI OI N

A group of students obtained the following scores in Statistics quiz:

8, 2, 5, 4, 8, 5, 7, 1, 3, 6

GROUP ACTIVITY

PROCEDURE1. Arrange the scores in INCREASING or DECREASING

order

2. Identify the lowest score and highest score

3. Find the middle SCORE. Label it as .

4. Identify the value between the middle score and the lowest score. Label it as .

5. Identify the value between the middle score and the highest score. Label it as

GUIDE QUESTIONS:1. WHAT IS , , AND OF THEIR SCORES?2. HOW MANY STUDENTS BELONG TO , , AND IN TERMS OF THEIR SCORES?3. HAVE YOU REALIZE OF FINDING THE POSITION OF THE SCORES?

357

𝑄1

𝑄2

𝑄3

FOURTH QUARTER- STATISTICS

MEASURES OF POSITION

HOW OLD ARE YOU?

Numerical information may be classified as:

•UNGROUPED DATA•GROUPED DATA

MEASURES OF POSITION- ARE TECHNIQUES THAT DIVIDE A SET OF DATA INTO EQUAL GROUPS

THE DIFFERENT MEASURES OF POSITION ARE:

•QUARTILES•DECILES•PERCENTILES

QUANTILES CAN BE APPLIED WHEN:•DEALING WITH LARGE AMOUNT OF DATA, WHICH INCLUDES THE TIMELY RESULTS FOR STANDARDIZED TESTS IN SCHOOLS, ETC.• TRYING TO DISCOVER THE SMALLEST AS WELL AS THE LARGEST VALUES IN A GIVEN DISTRIBUTION.• EXAMINING FINANCIAL FIELDS FOR ACADEMIC AS WELL AS STATISTICAL STUDIES.

QUARTILESTHE QUARTILES ARE THE SCORE POINTS WHICH DIVIDE A DISTRIBUTION INTO FOUR EQUAL PARTS

𝑄1 𝑄2 𝑄3Lower

QuartileMiddle

QuartileUpper

Quartile

25%

50%

75%

100%

EXAMPLE:THE SCORES OF 7 STUDENTS IN A

MATHEMATICS SEATWORK ARE:7 , 4 , 3 , 6 , 7 , 4 , 8

7 4 3 6 7 4 8To find , and

𝑄𝑘=𝑘4 (𝑛+1)

LowerQuartil

e

Middle Quartil

e

Upper Quartil

e25% of the scores

is lower than 4

50% of the scores is

lower than 6

75% of the scores is

lower than 7

FIND THE FIRST QUARTILE (), SECOND QUARTILE (), AND THE THIRD QUARTILE (), GIVEN THE SCORES OF 10 STUDENTS IN THEIR MATHEMATICS.

4 9 7 14

8 12

15 6 1

1

10

GENERALIZATION:•When do we apply measures of position?

ANDOY HAS AN ASSIGNMENT TO ASK AT RANDOM 10 STUDENTS IN THEIR SCHOOL ABOUT THEIR AGES. THE DATA ARE GIVEN IN THE TABLE BELOW.

NAME AGE

Ana 10Tony 11

Dennis 12Aira 13

Antonette 13Christian 13

Susan 14Lito 14

Michael 15Gladys 15

 

1. WHAT IS , , AND OF THEIR AGES?2. HOW MANY STUDENTS BELONG TO , , AND IN TERMS OF THEIR AGES?

ASSIGNMENT:Answer Activity 8 “Aqua Running” pg. 372 (to be written on one whole sheet of paper)

INTERPOLATION

WE NEED TO USE INTERPOLATION IF THE VALUE OF THE POSITION IS IN DECIMAL FORM

USING THE FORMULA

𝑄𝑘=𝑘4 (𝑛+1)

k = position of the quartile

n = total no. of data

STEPS IN INTERPOLATION

METHOD

FIND THE DIFFERENCE BETWEEN THE TWO VALUES IN WHICH THE DECIMAL FROM IS IN BETWEEN

MULTIPLY THE RESULT BY THE DECIMAL PART

OBTAINEDADD THE RESULT IN STEP

2, TO THE 2ND OR SMALLER NUMBER

12

3

ANDOY HAS AN ASSIGNMENT TO ASK AT RANDOM 10 STUDENTS IN THEIR SCHOOL ABOUT THEIR AGES. THE DATA ARE GIVEN IN THE TABLE BELOW.

NAME AGE

Ana 10Tony 11

Dennis 12Aira 13

Antonette 13Christian 13

Susan 14Lito 14

Michael 15Gladys 15