{"id":3535,"date":"2017-08-01T08:30:20","date_gmt":"2017-08-01T01:30:20","guid":{"rendered":"https:\/\/dosen.unila.ac.id\/rasp\/?p=3535"},"modified":"2017-08-01T10:30:45","modified_gmt":"2017-08-01T03:30:45","slug":"pengantar-probabilistik-statistik","status":"publish","type":"post","link":"https:\/\/dosen.unila.ac.id\/rasp\/2017\/08\/01\/pengantar-probabilistik-statistik\/","title":{"rendered":"Probabilistik Statistik, Soal 1.2."},"content":{"rendered":"

Referensi:<\/p>\n

Probability & Statistics<\/strong><\/p>\n

for Engineers & Scientists<\/strong><\/p>\n

Ronald E. Walpole<\/p>\n

Roanoke College<\/em><\/p>\n

Raymond H. Myers<\/p>\n

Virginia Tech<\/em><\/p>\n

Sharon L. Myers<\/p>\n

Radford University<\/em><\/p>\n

Keying Ye<\/p>\n

University of Texas at San Antonio<\/em><\/p>\n

Prentice Hall<\/strong><\/p>\n

CONTOH SOAL<\/p>\n

1.2 According to the journal Chemical Engineering, an important property of a \ufb01ber is its water absorbency. A random sample of 20 pieces of cotton \ufb01ber was taken and the absorbency on each piece was measured. The following are the absorbency values:<\/p>\n

18.71\u00a0\u00a0\u00a0\u00a0 21.41\u00a0\u00a0\u00a0\u00a0 20.72\u00a0\u00a0\u00a0 21.81 \u00a0\u00a0 19.29\u00a0\u00a0\u00a0\u00a0 22.43\u00a0\u00a0\u00a0 20.17<\/p>\n

23.71\u00a0\u00a0\u00a0 19.44 \u00a0\u00a0\u00a0\u00a0 20.50 \u00a0\u00a0 18.92\u00a0\u00a0\u00a0 20.33 \u00a0\u00a0 23.00 \u00a0\u00a0 22.85<\/p>\n

19.25\u00a0\u00a0\u00a0\u00a0 21.77\u00a0\u00a0\u00a0\u00a0 22.11 \u00a0\u00a0 19.77\u00a0\u00a0\u00a0\u00a0 18.04 \u00a0\u00a0 21.12<\/p>\n

(a) Calculate the sample mean and median for the above sample values.<\/p>\n

(b) Compute the 10% trimmed mean.<\/p>\n

(c) Do a dot plot of the absorbency data.<\/p>\n

(d) Using only the values of the mean, median, and trimmed mean, do you have evidence of outliers in the data?<\/p>\n

SOLUSI<\/p>\n

a) Mean = (18.71+21.41+20.72+21.81+19.29+22.43+20.17+23.71+19.44+20.50 +18.92+20.33+23.00+22.85+19.25+21.77+22.11 +19.77+18.04+21.12) \/ 20<\/p>\n

Mean = 20.768<\/p>\n

Median dari data = 18.04\u00a0\u00a0\u00a0 18.71\u00a0\u00a0\u00a0 18.92\u00a0\u00a0\u00a0 19.25\u00a0\u00a0\u00a0 19.29\u00a0\u00a0\u00a0 19.44\u00a0\u00a0\u00a0 19.77\u00a0\u00a0\u00a0 20.17\u00a0\u00a0\u00a0 20.33\u00a0\u00a0\u00a0 20.50\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 20.72\u00a0<\/strong><\/span>\u00a0\u00a0 20.77\u00a0\u00a0\u00a0\u00a0 21.12\u00a0\u00a0\u00a0 21.41\u00a0\u00a0 21.77\u00a0\u00a0\u00a0 22.11\u00a0\u00a0\u00a0 22.43\u00a0\u00a0 22.85 \u00a023.00\u00a0\u00a0 23.71<\/p>\n

Dari data di atas, mediannya adalah (20.50 + 20.72) \/ 2 –> 20.61<\/p>\n

(b) Compute the 10% trimmed mean.<\/p>\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n
<\/td>\n1<\/td>\n2<\/td>\n3<\/td>\n4<\/td>\n5<\/td>\n6<\/td>\n7<\/td>\n8<\/td>\n9<\/td>\n10<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/tr>\n
<\/td>\n18,04<\/td>\n18,71<\/td>\n18,92<\/td>\n19,25<\/td>\n19,29<\/td>\n19,44<\/td>\n19,77<\/td>\n20,17<\/td>\n20,33<\/td>\n20,5<\/td>\n<\/td>\n20<\/td>\ndata<\/td>\n<\/td>\n<\/td>\n<\/tr>\n
<\/td>\n20,72<\/td>\n21,12<\/td>\n21,41<\/td>\n21,77<\/td>\n21,81<\/td>\n22,11<\/td>\n22,43<\/td>\n22,85<\/td>\n23<\/td>\n23,71<\/td>\n<\/td>\n2<\/td>\nATAS<\/td>\n<\/td>\n10,00%<\/td>\n<\/tr>\n
<\/td>\n11<\/td>\n12<\/td>\n13<\/td>\n14<\/td>\n15<\/td>\n16<\/td>\n17<\/td>\n18<\/td>\n19<\/td>\n20<\/td>\n<\/td>\n2<\/td>\nBAWAH<\/td>\n<\/td>\n<\/td>\n<\/tr>\n
<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/tr>\n
1<\/td>\n18,04<\/td>\n<\/td>\nJUMLAH<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n16<\/td>\nSISA DATA<\/td>\n<\/td>\n<\/td>\n<\/tr>\n
2<\/td>\n18,71<\/td>\n<\/td>\n331,89<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/tr>\n
3<\/td>\n18,92<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/tr>\n
4<\/td>\n19,25<\/td>\n<\/td>\nPEMBAGI<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/tr>\n
5<\/td>\n19,29<\/td>\n<\/td>\n16<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/tr>\n
6<\/td>\n19,44<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/tr>\n
7<\/td>\n19,77<\/td>\n<\/td>\nthe 10% trimmed mean<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/tr>\n
8<\/td>\n20,17<\/td>\n<\/td>\n20,74313<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/tr>\n
9<\/td>\n20,33<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/tr>\n
10<\/td>\n20,5<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/tr>\n
11<\/td>\n20,72<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/tr>\n
12<\/td>\n21,12<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/tr>\n
13<\/td>\n21,41<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/tr>\n
14<\/td>\n21,77<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/tr>\n
15<\/td>\n21,81<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/tr>\n
16<\/td>\n22,11<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/tr>\n
17<\/td>\n22,43<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/tr>\n
18<\/td>\n22,85<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/tr>\n
19<\/td>\n23<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/tr>\n
20<\/td>\n23,71<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

(c) Do a dot plot of the absorbency data.<\/p>\n

\"PLOT\"<\/p>\n

(d) Using only the values of the mean, median, and
\ntrimmed mean, do you have evidence of outliers in
\nthe data?<\/p>\n

Terdapat perubahan nilai dari data, nilai mean yaitu 20.768 nilai median 20.61, dan nilai trim yang dipangkas 10% yaitu 20,74313<\/p>\n

bersambung ke<\/p>\n","protected":false},"excerpt":{"rendered":"

Referensi: Probability & Statistics for Engineers & Scientists Ronald E. Walpole Roanoke College Raymond H. Myers Virginia Tech Sharon L. Myers Radford University Keying Ye University of Texas at San Antonio Prentice Hall CONTOH SOAL 1.2 According to the journal Chemical Engineering, an important property of a \ufb01ber is its water absorbency. A random sample … Continue reading “Probabilistik Statistik, Soal 1.2.”<\/span><\/a><\/p>\n","protected":false},"author":14,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[116],"tags":[],"class_list":["post-3535","post","type-post","status-publish","format-standard","hentry","category-probstat"],"_links":{"self":[{"href":"https:\/\/dosen.unila.ac.id\/rasp\/wp-json\/wp\/v2\/posts\/3535"}],"collection":[{"href":"https:\/\/dosen.unila.ac.id\/rasp\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/dosen.unila.ac.id\/rasp\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/dosen.unila.ac.id\/rasp\/wp-json\/wp\/v2\/users\/14"}],"replies":[{"embeddable":true,"href":"https:\/\/dosen.unila.ac.id\/rasp\/wp-json\/wp\/v2\/comments?post=3535"}],"version-history":[{"count":0,"href":"https:\/\/dosen.unila.ac.id\/rasp\/wp-json\/wp\/v2\/posts\/3535\/revisions"}],"wp:attachment":[{"href":"https:\/\/dosen.unila.ac.id\/rasp\/wp-json\/wp\/v2\/media?parent=3535"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/dosen.unila.ac.id\/rasp\/wp-json\/wp\/v2\/categories?post=3535"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/dosen.unila.ac.id\/rasp\/wp-json\/wp\/v2\/tags?post=3535"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}