Problem 1. The scores of students in a 50-item Statistics test are as follows: 25, 14, 16, 20, 30, 22, 26, 15, 16, 24, 32, 40, 45, 43, 36, 28, 12, 27, 48, 40, 36, 22, 38, 29, 37, 40, 35. From the scores of the students, calculate and interpret the following 4. P 1. Lower Quartile 2. Q 5. Median 3. 9 decile
Problem 1. The scores of students in a 50-item Statistics test are as follows: 25, 14, 16, 20, 30, 22, 26, 15, 16, 24, 32, 40, 45, 43, 36, 28, 12, 27, 48, 40, 36, 22, 38, 29, 37, 40, 35. From the scores of the students, calculate and interpret the following 4. P 1. Lower Quartile 2. Q 5. Median 3. 9 decile
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:b. Pso
P.= (n+ 1) Po=유(25 + 1)-(26)= 13
Pso is in the 13h position. Therefore, Pso = 46.
o
100
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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
Solution:
50, 50, 50, 100, 100, 100, 150, 150, 200, 250, 250, 300, 300, 400, 500
a. Upper quartile or Q,
b.) 7* decile
c.) 35" percentile
Qk = (n + 1) Q, - (15 + 1) =(16) = "= 12
Q, is in the 12" position. Therefore, Q, - 300.
b. 7h decile or D,
D. = (n + 1) D, =2(15 + 1) =2(16) = 12 = 11.2
Interpolate: 11.2nd position is between the 11" and 12" position which are 250 and
300, respectively. 300-250-50 then 250+0.2-250.2. Hence, Dr=250.2
c. 35h percentile or Pas
P = (n + 1) Pa5 = (15 + 1) =(16) = = 5.6
Interpolate: 5.6" position is between the 5* and 6" position which are 100 and 100,
respectively. Hence, Pa100.
Guide Questions:
1. How did you determine the value of the upper quartile, 7h decile and the 35h
percentile?
2. How will you interpret the results?
Let Us Do
Problem 1.
The scores of students in a 50-item Statistics test are as follows:
25, 14, 16, 20, 30, 22, 26, 15, 16, 24, 32, 40, 45, 43, 36, 28, 12, 27, 48,
40, 36, 22, 38, 29, 37, 40, 35.
From the scores of the students, calculate and interpret the following:
4. Peo
5. Median
1. Lower Quartile
2. Q.
3. gh decile
GSC-CID-LRMS-ESSLM, v.r. 02.00, Effective April 21, 2021
Let Us Apply
Problem 2.
Due to the pandemic, GB Barber Shop has been counting the number of
customers coming in everyday to monitor if the number of customers decreases from
day 1 to day 30.
The data are listed below:
87
109 102
80
84
86 90
92
113 108
75
91
78
112 121
98
94
87
81
96
90
89
93
97
85
135 88
133
81
129
Using the given data, calculate and interpret the following measures of position:
a. The lower and upper quartiles.
b. The 5h and 7 decile.
c. The 30, 50 and 85h percentile.
.
Problem 3.
The data below are the scores of 27 students in a 50-item test.
32 28
34 12 44
38
25
22
17
30 19 26
30
48
33
32
35
38
27
21
29
34
29
43
29
36
26
Based on the data presented above, calculate, and interpret the following:
a. The lower and upper quartiles.
b. The 3d and 8th decile.
c. The 50 and 75" percentile.
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