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QUARTILE DEVIATION FOR
UNGROUPED DATA
By: MYLENE P. TAN
QUARTILE DEVIATION FOR UNGROUPED
DATA
Quartile deviation is one of the measures of dispersion.
Quartiles are the values that divide a list of numerical data into
three-quarters, such as Q1, Q2 and Q3. The middle part of the three
quarters measures the central point of distribution and shows the
data values near the midpoint (or the central value; this is referred
to as the median). The lower part of the quarters indicates just half
the information set, which comes under the median, and the upper
part shows the remaining half, which falls above the median. Thus,
the quartiles represent the distribution or dispersion of the given
data set.
QUARTILE DEVIATION FOR
UNGROUPED DATA
Q= Qз-Qı
2
Q = Quartile Deviation
Qз = Quartile sub 3
Qı = Quartile sub 1
2 = constant
Below are the scores of seven students in spelling. Solve for
quartile
deviation.
• SCORES 8 5 2 6 7 5 4
n=7
• Arrange the data in array form from the lowest to the highest
score.
2 4 5 5 6 7 8
SOLVE FOR Q1
Q1=n 2+4 = 6 = 3 value
4 2 2
Q1 =7 Q1= 3
4
SOLVE FOR Q3
2 4 5 5 6 7 8
Q3= 3n 6+7= 13 = 6.5 value
4 2 2
Q3= 3(7) Q3= 6.5
4
Q3= 21 Q3= 6.5
4
Q3= 5.25 th position
SOLVE FOR Q
Q =Q3-Q1
2
Q = 6.5 – 3
2
Q = 3.5
2
Q= 1.75
LET’S TRY!
7
Below are the scores of 10 students in
English.
Solve for the quartile deviation.
8, 9, 11, 12, 12, 15, 16, 17, 18, 20,
Below are the scores of 9 students in
Algebra.
Solve for the quartile deviation.
9, 8, 11, 13, 15, 17, 19, 22,23
thank you
Ms. Mylene P. Tan

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Quartile-Deviation-for-Ungrouped-Data.pptx

  • 1. QUARTILE DEVIATION FOR UNGROUPED DATA By: MYLENE P. TAN
  • 2. QUARTILE DEVIATION FOR UNGROUPED DATA Quartile deviation is one of the measures of dispersion. Quartiles are the values that divide a list of numerical data into three-quarters, such as Q1, Q2 and Q3. The middle part of the three quarters measures the central point of distribution and shows the data values near the midpoint (or the central value; this is referred to as the median). The lower part of the quarters indicates just half the information set, which comes under the median, and the upper part shows the remaining half, which falls above the median. Thus, the quartiles represent the distribution or dispersion of the given data set.
  • 3. QUARTILE DEVIATION FOR UNGROUPED DATA Q= Qз-Qı 2 Q = Quartile Deviation Qз = Quartile sub 3 Qı = Quartile sub 1 2 = constant
  • 4. Below are the scores of seven students in spelling. Solve for quartile deviation. • SCORES 8 5 2 6 7 5 4 n=7 • Arrange the data in array form from the lowest to the highest score. 2 4 5 5 6 7 8 SOLVE FOR Q1 Q1=n 2+4 = 6 = 3 value 4 2 2 Q1 =7 Q1= 3 4
  • 5. SOLVE FOR Q3 2 4 5 5 6 7 8 Q3= 3n 6+7= 13 = 6.5 value 4 2 2 Q3= 3(7) Q3= 6.5 4 Q3= 21 Q3= 6.5 4 Q3= 5.25 th position
  • 6. SOLVE FOR Q Q =Q3-Q1 2 Q = 6.5 – 3 2 Q = 3.5 2 Q= 1.75
  • 7. LET’S TRY! 7 Below are the scores of 10 students in English. Solve for the quartile deviation. 8, 9, 11, 12, 12, 15, 16, 17, 18, 20,
  • 8. Below are the scores of 9 students in Algebra. Solve for the quartile deviation. 9, 8, 11, 13, 15, 17, 19, 22,23