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# Measurement of Relative Position application of statistics in educational research

Measurement of Relative Position application of statistics in educational research

Measurement of Relative Position

Relative position provides individual achievement of the students in comparision to each an every students. There for it is very stable procedure in evaluation of student in educational sector. Measure of central tendency shows average and state of distribution of given data in statistics which does not exist personal improvement in comparision to other students. Therefor relative measurement is more important process to evaluate individual progress in education field. It can be calculation as below:

1. Percentile Rank 2. Quartile Rank

4.1 Percentile Rank

The percentile rank is the point in the distribution below which gives percentage of scorer fall or the term percentile rank may be define as the number representing the percentage of the total number of cases lying below the given score the value of percentile rank is between 0-100o. If the no of student is more it can be calculated as making frequency table cumulative frequency and the obtained mark be calculated to find percentile rank as given formula.

Percentile Rank = PR = 100/N (cf -f/2 ) (Discrete Series)

Where, PR = Percentile Rank

cf = cumulative frequency

x = the some we want it PR.

I = size of class interval

l = lower limit

f = frequency of interval containing x.

N = Total number score

R = Series number

Table No. 18

Percentile rank of class IX students of science

 Mark Obtain (x) Frequency (f) Cumulative Frequency (CF) Percentile Rank (PR) Position 83 1 30 98.33 1st 28 1 29 95 2nd 57 1 28 91.67 3rd 56 1 27 88.25 4th 54 1 26 84.91 5th 52 1 25 81.58 6th 48 1 24 78.25 7th 45 1 23 74.92 8th 44 1 22 71.67 9th 43 1 21 68.33 10th 41 2 20 36.33 11th 39 2 18 56.67 12th 37 1 16 51.67 13th 35 2 15 41.67 14th 34 2 13 40 15th 32 4 11 30 16th 23 1 7 21.67 17th 17 2 6 16.67 18th 16 1 4 11.67 19th 15 1 3 8.33 20th 11 1 2 5 21th 7 1 1 1.67 22th

By analyzing the above table highest percentile rank of science subject of class – 9 is 98.33 and it obtain mark is 83 of Anish Basnet. In this way the lowest percentile rank is 1.67 and its obtain mark is 7 by Prabin Rai. Percentile rank is useful in calculation of position in evaluation so it is significant in evaluation.

• Mark obtain in English subject in Janasahayog H.H.S of class – 9 is going to be presented in percentile rank.

Table No. 19

Percentile rank of class IX students of English

 Mark (x) Frequency (f) cf PR Position 69 1 30 98.33 1st 67 1 29 95 2nd 49 1 28 91.67 3rd 48 2 27 86.67 4th 44 1 25 81.67 5th 42 2 24 76.67 6th 40 2 22 70 7th 36 2 20 63.33 8th 34 3 18 55 9th 33 2 15 46.67 10th 32 6 13 33.33 11th 24 2 7 20 12th 23 1 5 15 13th 20 1 4 11.67 14th 19 1 3 8.33 15th 17 1 2 5 16th 14 1 1 1.67 17th

By analyzing above table the highest percentile rank of English is 98.33 by Ajita Basnet of class-9 and mark obtain is 69. In this way the lowest percentile rank is 1.67 and it’s obtain mark is 14 by Kiran Shrestha of class – 9.

By comparing the mark of two subject of class – 9 the highest percentile of value of both students is equal 98.33 although their obtaining mark are different 83 and 69. Such as the lowest percentile rank also 1.67 but the obtaining mark is different as 7 and 14.

4.3 Quartile Rank

It divides the statistical data into 4 equal parts. It is not more important as percentile because it provides value is not so reliability as percentile value. Quartile Rank is calculated as below:

QR = (CF. f/2)/N  x 4

Calculation

Percentile rank of class IX students in science is calculated under the following. (Source : Shree Janasahayog H.S.S. Itahari-24.)

• Mark obtains in Nepali subject in Janasahayog H.S.S. of class – XI is going to be presented in quartile rank.

Table No. 20

Mark obtains in Nepali subject

 Mark (x) Frequency (f) cf QR 69 1 33 3.93 62 3 29 3.67 57 1 26 3.40 55 1 25 3.27 52 1 24 3.13 51 1 23 3 50 1 22 2.87 47 1 21 2.73 45 3 20 2.47 44 2 17 2.13 42 2 15 1.87 41 1 13 1.67 40 2 12 1.47 37 3 10 1.13 36 1 7 0.87 35 3 6 0.60 34 2 3 0.27 21 1 1 0.07

The above table shows 3.95 is the highest Q.R. value and 0.07 is the lowest value of Q.R. This quartile value is decreasing from top to bottom serially the highest mark 69 is by Anita Adhikari and the lowest mark 21 is by Bhima Magar.

• Mark obtain in English subject in Janasahayog H.S.S. of class – XI is going to be presented in quartile rank.

Table No. 21

Mark obtain in English subject of class- XI

 Mark (x) Frequency (f) cf QR 62 1 30 3.93 51 1 29 3.80 49 1 28 3.67 48 1 27 3.53 45 1 26 3.40 44 1 25 3.27 41 1 24 3.13 40 2 23 2.93 37 1 21 2.73 35 4 20 2.4 27 1 16 2.07 26 1 15 1.93 24 1 14 1.80 21 2 13 1.60 20 1 11 1.40 14 1 10 1.27 13 1 9 1.13 10 1 8 1 7 2 7 0.80 6 1 5 0.60 5 1 4 0.47 4 3 3 0.20

The above table shows 3.93 is the highest quartile rank and 0.20 is the lowest quartile rank value. This quartile rank value are decreasing from top to bottom serially. The highest mark 62 by Anuj Dahal and lowest mark is 04 by Barsha Khatri.

By comparing the mark of two subject of class XI English and Nepali the highest quartile rank value of both students is 3.93 but their obtaining mark are different 62 and 69. By Anuj Dahal and Anita Adhikari but the lowest quartile value are different 0.20 and 0.07. Thus, their obtaining mark also different 04 and 21 by Barsha Khatri and Bhima Magar. 