Elementary Statistics

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  • Topic: College, Arellano University, Cayetano Arellano
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  • Published : March 20, 2013
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Chapter I
Introduction
HISTORY
The late Florentino Cayco, Sr., first Filipino Undersecretary of Public Instruction and illustrious educator, conceptualized the birth and administered the growth of Arellano University. This prestigious institution of learning opened in 1938 as the Arellano Law College, named after Cayetano Arellano, first Filipino chief justice. It closed in December 1941 until March 1945 under the Japanese occupation of the Philippines during World War II. At the end of the war, this educational institution reopened in April, 1945 and was renamed as Arellano Colleges offering a two-year preparatory law course and the regular four-year law course, as well as a complete secondary education curriculum. In June 1945, Arellano Colleges offered a four-year course in education (Bachelor of Science in Education), a two-year teacher training course (Elementary Teacher’s Certificate) and an elementary school training department. Likewise offered were courses in commerce, Foreign Service, and arts and sciences. A year later, in June 1946, Florentino Cayco, Sr., became the first President of Arellano Colleges. Through his efforts, Arellano Colleges was elevated to, and recognized as, Arellano University on February 22, 1947 by the Department of Education, Culture, and Sports. It was also in 1947 that the graduate school was organized and authorized to offer a course leading to the degree of Master of Arts in education as a requisite for the grant of university status. In 1954, Arellano University opened a school of nursing which offered a basic nursing course. In April 1960, the School of Nursing expanded its curricular offerings by adding courses in post-basic nursing with majors in public health and clinical teaching.

The School of Nursing was later renamed College of Nursing. At about the same time, a preparatory medical course was added to the general curriculum of the College of Arts and Sciences.

In 1978, the graduate school was renamed Florentino Cayco Memorial School of Graduate Studies, in honor of the founder and first president of Arellano University. Added to the graduate courses were the degrees of Master of Business Administration, Master of Science and Economics and Master of Arts in Nursing. In the same year, the management of the College of Law was turned over to Arellano Law Foundation under a Memorandum of Agreement.

Chapter II
Presentation of Data
Data:
70107125
85109130
93110145
95112
100115

N: 13HS: 164
C.I. : 15LS: 60

Computation of the Assumed Mean
C.I| F| X| FX|
60-79| 1| 67| 67|
75-89| 1| 82| 82|
90-104| 3| 97| 291|
105-119| 5| 112| 560|
120-134| 2| 127| 254|
135-149| 1| 142| 142|
150-164| 0| 157| 0|
E + x= 1396
X = E + x = 1396/ 13
N
= 107. 385 or 108

Computation of the Mean
C.I| F| X| D| Fd|
60-79| 1| 67| -3| -3|
75-89| 1| 82| -2| -2|
90-104| 3| 97| -1| -3|
105-119| 5| 112| 0| 0|
120-134| 2| 127| 1| 2|
135-149| 1| 142| 2| 2|
150-164| 0| 157| 3| 0|

E + d= -4
X= x +(E+d) I
N
= 112 + (-4/13) 15d- unit coded deviation from the assumed mean = 112 + ( -60/13)fd- frequency
= 112 + ( -4.615)x- mean
X= 107. 385 or 108

Computation of the Median
C.I| F| X| Cum f|
60-79| 1| 67| 1|
75-89| 1| 82| 2|
90-104| 3| 97| 5|
105-119| 5| 112| 10|
120-134| 2| 127| 12|
135-149| 1| 142| 13|
150-164| 0| 157| 13|

Md= Lm+(n/2-E+m-1)ILm- lower limit of the median class frequency
fm
Md= 105 + ( 13/2 – 5)15Elm= sum of all the frequency before the medium cf
5
= 105 + ( 6.5 – 5) 15
5
= 105 + ( 1.5) 15
5
= 105 + 22.5
5
= 105 + 4.5
= 109. 5 or 110

Computation of the Mode
C.I| F| X| Cum f|
60-79| 1| 67| 1|
75-89| 1| 82| 2|
90-104| 3| 97| 5|...
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