Modeling the Number of Weekly Assignments for Students Using Poisson Distribution: A Case Study of Regular Classes at Pamulang University
DOI:
https://doi.org/10.65310/necaqv09Keywords:
Poisson distribution, academic workload, count data, higher education, goodness-of-fit test,Abstract
This study aims to model the weekly number of academic assignments received by students using the Poisson distribution, with a case study of Regular CK class students at Universitas Pamulang. The data were collected from 20 students through an online questionnaire that recorded the total number of assignments received from all courses during the previous week. Descriptive statistical analysis shows that the average number of weekly assignments is 4.25, with a variance of 2.41 and observed values ranging from 2 to 8 assignments. These characteristics indicate a discrete count data structure within a fixed time interval. The Poisson distribution parameter was estimated using the sample mean, and a Chi-Square Goodness-of-Fit test was applied to examine the suitability of the Poisson model. The test results indicate that the observed frequency distribution does not significantly differ from the expected Poisson distribution at the 5 percent significance level. This finding suggests that the weekly assignment distribution can be adequately represented by a Poisson model. The study demonstrates the practical application of Poisson distribution in educational data analysis and provides a quantitative perspective on academic workload patterns among working students.
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Agresti, A. (2021). The Foundations Of Statistical Science: A History Of Textbook Presentations. Brazilian Journal Of Probability And Statistics, 35(4), 657-698. Https://Doi.Org/10.1214/21-Bjps518.
Anisa, P. (2025). Analisis Penyakit Campak Di Provinsi Bengkulu Menggunakan Regresi Poisson Terkoreksi Dan Regresi Binomial Negatif Terkoreksi. Jurnal Statistika Dan Data Sains, 1(1), 1-7.
Aulia, L., Diana, A. F., & Ginanjar, A. (2025). Penerapan Model Regresi Poisson Untuk Prediksi Frekuensi Klaim Asuransi Pada Perusahaan Asuransi Jiwa. Jurnal Riset Rumpun Matematika Dan Ilmu Pengetahuan Alam, 4(1), 160-172. Https://Doi.Org/10.55606/Jurrimipa.V4i1.5204.
Auw, D. N., Laumalay, E. B., Hamap, S., Sailana, L., & Loban, J. M. (2025). Model Sistem Antrian Dengan Menggunakan Pola Kedatangan Dan Pola Pelayanan Di Kantor Dinas Kependudukan Dan Pencatatan Sipil Kabupaten Alor. Reken: Jurnal Matematika Dan Aplikasinya, 1(1), 17-26. Https://Doi.Org/10.55098/Reken.1.1.17-26.
Azizah, N., Sugito, S., & Yasin, H. (2021). Analisis Metode Bayesian Pada Sistem Antrean Rawat Jalan Di Rsup Dr. Kariadi Dengan Distribusi Sampel Poisson Dan Geometrik. Jurnal Gaussian, 10(3), 413-422. Https://Doi.Org/10.14710/J.Gauss.10.3.413-422.
Azzahra, F., & Mangku, I. W. (2021). Penduga Konsisten Dari Fungsi Sebaran Dan Fungsi Kepekatan Peluang Waktu Tunggu Proses Poisson Periodik. Jambura Journal Of Mathematics, 3(2), 128-139. Https://Doi.Org/10.34312/Jjom.V3i2.10264.
Fauziah, I., Mahmudi, M., & Safitri, N. I. (2025). Pemodelan Statistik Total Klaim Bpjs Kesehatan Berbasis Distribusi Pareto Dan Weibull: Pendekatan Non-Homogeneous Poisson Process. Euler: Jurnal Ilmiah Matematika, Sains Dan Teknologi, 13(2), 278-285. Https://Doi.Org/10.37905/Euler.V13i2.33562.
Firdaus, F. R., Ismauz, S. M., & Sianipar, A. H. (2025). Model Distribusi Poisson Dan Gamma Untuk Analisis Penyakit Tbc Di Daerah Provinsi Jawa Barat. Cendekia: Jurnal Penelitian Dan Pengkajian Ilmiah, 2(1), 117-125. Https://Doi.Org/10.62335/Jsn70n81.
Hermawan, R. R. P., Ekka, N. C., Budi, F. S., Arindani, R., Kusumasari, I. R., & Kusbianto, N. (2025). Implementasi Probabilitas, Harapan Matematis, Dan Distribusi Teoritis Dalam Menyusun Alternatif Keputusan. Musytari: Jurnal Manajemen, Akuntansi, Dan Ekonomi, 24(11), 371-380. Https://Ejournal.Cibinstitut.Com/Index.Php/Musytari/Article/View/409.
Maharani, N. P. L., Aryani, N. P. M., Ananta, A. A. N. B. S., & Octavanny, M. A. D. (2025). Analisis Data Antrean Non-Poisson: Studi Kasus: Konsumen Toko Ritel Indomaret Jimbaran. Algoritma: Jurnal Matematika, Ilmu Pengetahuan Alam, Kebumian Dan Angkasa, 3(5), 01-12. Https://Doi.Org/10.62383/Algoritma.V3i5.679.
Maulana, A. D., Anggraini, D., & Sukmawaty, Y. (2023). Pemodelan Kepadatan Penduduk Dengan Pendekatan Regresi Poisson Tergeneralisasi. Ragam: Journal Of Statistics & Its Application, 2(1), 33-47. Https://Doi.Org/10.20527/Ragam.V2i1.9893.
Muharani, S., Kurniati, A., & Yuniati, S. (2024). Distribusi Poisson: Analisa Data Lama Masa Studi Mahasiswa Uin Suska Riau. Relevan: Jurnal Pendidikan Matematika, 4(6).
Musadi, M., & Kurniawati, I. Normal Distribution Approximation Through Binomial And Poisson Distribution. Journal Of Mathematics And Mathematics Education, 13(1), 108-122. Https://Doi.Org/10.20961/Jmme.V13i1.75051.
Pahdian, M. F., Sendi, R. M., Rahmawati, R., & Dwichandra, V. D. (2021). Probabilitas Jumlah Kecelakaan Tambang Di Indonesia Tahun 2019 Menggunakan Distribusi Poisson. Bulletin Of Applied Industrial Engineering Theory, 2(1).
Putri, E., & Mutaqin, A. K. (2025). Pemodelan Kredibilitas Bühlmann-Straub Untuk Data Frekuensi Klaim Berdistribusi Poisson-Sujatha. Ragam: Journal Of Statistics & Its Application, 4(1), 25-38. Https://Doi.Org/10.20527/Ragam.V4i1.14679.
Ramadhan, A. R., & Al-Husein, F. K. (2025). Pemodelan Kasus Kekerasan Terhadap Perempuan Di Jawa Barat: Poisson Dan Negatif Binomial. Aksioma: Jurnal Sains Ekonomi Dan Edukasi, 2(2), 523-535. Https://Doi.Org/10.62335/Aksioma.V2i2.894.
Sari, K. A. D. P., Dewi, N. K. F., & Octavanny, M. A. D. (2025). Model Stokastik Teori Antrean Non Poisson: Studi Kasus: Analisis Model Antrean Non-Poisson Pada Pelayanan Mie Gacoan Jimbaran. Algoritma: Jurnal Matematika, Ilmu Pengetahuan Alam, Kebumian Dan Angkasa, 3(4), 234-245. Https://Doi.Org/10.62383/Algoritma.V3i4.662.
Talalu, L. A., & Kusuma, B. (2025). Analisis Perbandingan Metode Distribusi Binomial Negatif Dan Poisson. Studi Kasus: Faktor-Faktor Terjadinya Perceraian Di Indonesia Tahun 2023. Cendekia: Jurnal Penelitian Dan Pengkajian Ilmiah, 2(1), 1-9. Https://Doi.Org/10.62335/4ycf2324.
Tamitakarza, H., Ferryanto, F., & Suweca, I. W. (2025). Analysis Of Spare Parts Requirements Based On The Failure Rate Of A Component Using The Poisson Process Method In A Case Study At Pt. Xyz. Jurnal Rekayasa Mesin, 16(2), 611-628. Https://Doi.Org/10.21776/Jrm.V16i2.1849.
Tampubolon, E. U. T., & Alfarisi, S. (2025). Analisis Tingkat Kriminalitas Di Jawa Tengah Dengan Pendekatan Distribusi Poisson Dan Binomial Negatif. Aksioma: Jurnal Sains Ekonomi Dan Edukasi, 2(1), 314-334. Https://Doi.Org/10.62335/58brp592.
Tampubolon, E. U. T., & Kusuma, B. (2025). Pemodelan Tingkat Kemiskinan Di Provinsi Aceh Menggunakan Distribusi Poisson Dan Binomial Negatif. Aksioma: Jurnal Sains Ekonomi Dan Edukasi, 2(1), 219-235. Https://Doi.Org/10.62335/8xedj814.
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Copyright (c) 2025 Feri Pahriansya, Novianto Dwi Nugroho, Achmad Wahyudin, Aditya Efendi (Author)
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