Post on 14-Aug-2015
Latihan 3 Statistik Ekonomi dan Bisnis
Venty IE 2009
Dosen: Pak Uka W. ; Bu Nanda N. Februari 2013
Steam and Leaf
• A survey of number of calls received by Southern Phone Company subscribers last week revealed the following information. Develop a steam and leaf chart? How many calls did subscriber receive?
52 43 30 38 30 42 12 46 39
37 34 46 32 18 41 5
• Two disadvantages to organizing the data into a frequency distribution:
(1) The exact identity of each value is lost
(2) Difficult to tell how the values within each class are distributed.
Stem Leaves
1 0 5
3 1 2 8
3 2
[7] 3 0024789
6 4 12366
1 5 2
Median, Quartile, and Percentiles
The Thomas Supply Company,Inc. is a distributor of small electrical motors. As with any business, the length of time customers take to pay their invoice is important. List below is the time in days, for sample of The Thomas Supply Company,Inc. Invoice. 13 13 13 41 45 41 41 50 51 47 47 54 47 53 62 27 26 20 34 34 31 34 36 37 38 35 56 82 67 35 a. Determine the first, second, and third quartiles b. Determine the 67th percentile
Urutkan data dari terkecil ke terbesar
13 13 13 20 26 27 31 34 34 34 35 35 36 37 41 41 41 45 47 47 47 50 51 53 54 56 62 67 82
Q1 = (30 +1) . 25/100 = 7.75
Value of Q1 = 31 +0.75 (34-31) = 33.25
Q2 = (30 +1) . 50/100 = 15.5 Q2= median
Value of Q2 = 38 +0.5 (41-38) = 39.5
Q3 = (30 + 1).75/100 = 23.25
Value of Q3 = 50 +0.25 (51-50) = 50.25
P67 = (30+1).67/100 = 20.77
Value of P67 = 47
Jika toko B ingin memberikan sangsi kepada 10% karyawan yang paling lama menyelesaikan 1 buah sepatu, bearpa menit waktu maksimal bagi pekerja agar dia tidak mendapatkan sangsi?
Toko A (menit) Toko B (menit)
Kelas Titik
Tengah
Jumlah
Karyawan
Kelas Titik
Tengah
Jumlah
Karyawan
30-34 32 3 30-34 32 1
35-39 37 5 35-39 37 2
40-44 42 12 40-44 42 13
45-49 47 10 45-49 47 17
50-54 52 15 50-54 52 14
55-59 57 8 55-59 57 6
60-64 62 2 60-64 62 2
Jumlah 55 Jumlah 55
Rerata hitung 47,55 Rerata hitung ??
Standar deviasi 7,5 Standar deviasi ??
Box Plot
A sample of 28 time share in Florida Revealed the following daily charges for a one bedroom suite. Construct a box plot to represent the data. Comment the distribution. (in $)
121 157 116 207 192 209 209
232 229 236 236 243 239 246
264 260 281 276 283 289 295
307 312 309 317 341 324 353
Membuat Box Plot
Step1: Create an appropriate scale along the horizontal axis.
Step 2: Draw a box that starts at Q1 and ends at Q3. Inside the box we place a vertical line to represent the median
Step 3: Extend horizontal lines from the box out to the minimum value and the maximum value
List the data :
116 121 157 192 207 209 209
229 232 236 236 239 243 246
260 264 276 281 283 289 295
307 309 312 317 324 341 353
Q1 = (28+1).25/100 = 7.25
Value of Q1 = 209 + 0.25 (229-209) = 214
Q2 = (28+1).50/100 = 14.5
Value of Q1 = 246 + 0.5(260-246) = 253
Q3 = (28 +1).75/100 = 21.75
Value of Q3 = 297 + 0.75(307-295) = 306
Outlier > Q1+1.5(Q3-Q1)
214 + 1.5(306-214) = 352
Outlier < Q1-1.5(Q3-Q1)
214 - 1.5(306-214) = 76
Min = 116, Max = 341
Skewness
Manakah dari data berikut ini yang dipengaruhi oleh keberadaan outliers?
a. Modus
b. Median
c. Persentil ke 75
d. Rerata hitung
Pemilik sebuah perusahaan baru-baru ini memutuskan untuk menaikkan gaji dari salah satu pegawainya, yang sudah mendapat gaji tertinggi, dengan 20%. Manakah dari pernyataan dibawah ini yang diharapkan terpengaruh oelh tindakannya?
a. Hanya rerata hitung
b. Hanya median
c. Hanya rerata hitung dan median
d. Rerata hitung, media, dan modus
Pada steam-and-leaf berikut ini, nilai-nilai bagian steam and leaf menunjukkan 10an dan 1an. Berapakah frekuensi dari kelas 35 – 45, yaitu {x; 35≤x<45}?
Steam Leaf
1 3 5 6 8 9
2 0 1 2 2 3 5 6 6 8 8 8 9
3 0 1 2 2 8
4 2 2