Quartile-Deviation-for-Ungrouped-Data.pptx

Stat

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 Q 1 , Q 2  and Q 3 . 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= Q з- Qı 2 Q = Quartile Deviation Q з = 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 Q1 = 1.75 th position

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

9. thank you Ms. Mylene P. Tan