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Measure of
Position:
Quartile
ERIC D. VALLE
Discussant
Measure of Position
• It is a number that tells where score strands relative to the others in
asset of data.
• It is a measure whether a value is about the average, or whether its
unusually high or low.
• It is used for quantitative data that falls on some numerical scale.
• It can be applied to ordinal variables.
Percentile Decile Quartile
- Values that divide a set
of data into 100 equal
parts.
- Values that divide a set
of data into 10 equal
parts.
- Values that divide a set
of data into 4 equal parts.
Quartiles of Ungrouped Data
The quartiles are the score points which divide a distribution into
four equal parts.
25% 50% 75%
Median = Q2
Q1 Q3
25% of the data fall below the
first quartile.
50% are below the second
quartile
75% are less than the third
quartile
Interquartile Range The difference between Q3 and Q1
The owner of a coffee shop recorded the number of customer who
came into his café each hour in a day. The result were 14, 10, 12, 9, 17,
5, 8, 9, 14, 10, 11. Find the lower quartile and upper quartile of the
data.
Arrange the scores in ascending order: n = 11
5 , 8 , 9 , 9 , 1 0 , 1 0 , 1 1 , 1 2 , 1 4 , 1 4 , 1 7
middle value
The lower quartile is 9. The upper quartile is 14.
To compute the interquartile range: IQR = Q3 – Q1
= 14 – 9
IQR = 5
Consider the set of scores in a quiz in Math 10 of Section Rizal: 11, 13,
14, 15, 15, 16, 19, 19, 20. Find Q1, Q2, Q3.
Arrange the scores in ascending order: n = 9
1 1 , 1 3 , 1 4 , 1 5 , 1 5 , 1 6 , 1 9 , 1 9 , 2 0
middle value
IQR = Q3 – Q1
= 19 – 13.5
IQR = 5.5
Q1 = 13 + 14
2
= 27
2
= 13.5
Q3 = 19 + 19
2
= 38
2
= 19

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Measure-of-Position.pptx

  • 2. Measure of Position • It is a number that tells where score strands relative to the others in asset of data. • It is a measure whether a value is about the average, or whether its unusually high or low. • It is used for quantitative data that falls on some numerical scale. • It can be applied to ordinal variables.
  • 3. Percentile Decile Quartile - Values that divide a set of data into 100 equal parts. - Values that divide a set of data into 10 equal parts. - Values that divide a set of data into 4 equal parts.
  • 4. Quartiles of Ungrouped Data The quartiles are the score points which divide a distribution into four equal parts. 25% 50% 75% Median = Q2 Q1 Q3 25% of the data fall below the first quartile. 50% are below the second quartile 75% are less than the third quartile Interquartile Range The difference between Q3 and Q1
  • 5. The owner of a coffee shop recorded the number of customer who came into his café each hour in a day. The result were 14, 10, 12, 9, 17, 5, 8, 9, 14, 10, 11. Find the lower quartile and upper quartile of the data. Arrange the scores in ascending order: n = 11 5 , 8 , 9 , 9 , 1 0 , 1 0 , 1 1 , 1 2 , 1 4 , 1 4 , 1 7 middle value The lower quartile is 9. The upper quartile is 14. To compute the interquartile range: IQR = Q3 – Q1 = 14 – 9 IQR = 5
  • 6. Consider the set of scores in a quiz in Math 10 of Section Rizal: 11, 13, 14, 15, 15, 16, 19, 19, 20. Find Q1, Q2, Q3. Arrange the scores in ascending order: n = 9 1 1 , 1 3 , 1 4 , 1 5 , 1 5 , 1 6 , 1 9 , 1 9 , 2 0 middle value IQR = Q3 – Q1 = 19 – 13.5 IQR = 5.5 Q1 = 13 + 14 2 = 27 2 = 13.5 Q3 = 19 + 19 2 = 38 2 = 19