Guide Questions: 1. How did you determine the value of the upper quartile, 7* decile and the 35th percentile? 2. How will you interpret the results?

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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The employees of a manufacturing company pledged the following donations in peso
for the establishment of a community pantry: 100, 400, 250, 50, 200, 300, 100, 50, 150, 250,
500, 100, 300, 50, and 150. Using the employees' contributions, calculate and interpret the
following:
a.) upper quartile b.) 7h decile
Solution:
c.) 35th percentile
50, 50, 50, 100, 100, 100, 150, 150, 200, 250, 250, 300, 300, 400, 500
a. Upper quartile or Q3
Qk = (n + 1) Q3 = (15 + 1) = (16) = = 12
Q3 is in the 12th position. Therefore, Q3 = 300.
b. 7th decile or D7
48
De =D (1+ 1) D,=D 끓(15 + 1) = 긁(16) %3D = 11.2
Interpolate: 11.2nd position is between the 11th and 12th position which are 250 and
300, respectively. 300-250=50 then 250+0.2=250.2. Hence, D7=250.2
c. 35th percentile or P35
P& =D (n+ 1) Ps = (15 + 1)3D(16) =D끓=5.6
112
(15+ 1) =(16):
= 5.6
100
100
20
Interpolate: 5.6th position is between the 5t and 6th position which are 100 and 100,
respectively. Hence, P33=100.
Guide Questions:
1. How did you determine the value of the upper quartile, 7h decile and the 35th
percentile?
2. How will you interpret the results?
Transcribed Image Text:Let Us Try The employees of a manufacturing company pledged the following donations in peso for the establishment of a community pantry: 100, 400, 250, 50, 200, 300, 100, 50, 150, 250, 500, 100, 300, 50, and 150. Using the employees' contributions, calculate and interpret the following: a.) upper quartile b.) 7h decile Solution: c.) 35th percentile 50, 50, 50, 100, 100, 100, 150, 150, 200, 250, 250, 300, 300, 400, 500 a. Upper quartile or Q3 Qk = (n + 1) Q3 = (15 + 1) = (16) = = 12 Q3 is in the 12th position. Therefore, Q3 = 300. b. 7th decile or D7 48 De =D (1+ 1) D,=D 끓(15 + 1) = 긁(16) %3D = 11.2 Interpolate: 11.2nd position is between the 11th and 12th position which are 250 and 300, respectively. 300-250=50 then 250+0.2=250.2. Hence, D7=250.2 c. 35th percentile or P35 P& =D (n+ 1) Ps = (15 + 1)3D(16) =D끓=5.6 112 (15+ 1) =(16): = 5.6 100 100 20 Interpolate: 5.6th position is between the 5t and 6th position which are 100 and 100, respectively. Hence, P33=100. Guide Questions: 1. How did you determine the value of the upper quartile, 7h decile and the 35th percentile? 2. How will you interpret the results?
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