BAB 3 DAN BAB 4

Berikut disajikan data Jumlah penerimaan PAD Kota Surakarta melalui pajak tontonan

film/bioskop tahun 2013:

Dari data tersebut kita mencari rata-rata hitung, median, modus, kuartil 1, kuartil 2, kuartil 3, dan

range.

Rata-rata hitung = jumlah seluruh nilai / banyaknya data

= 2.992.002.900 / 7

= 427.428.986

Median = nilai tengah data

= 4.850.000

Modus = data yang sering muncul

= (kosong)

Kuartil 1 = [1(n+1)] / 4

= [1(7+1)] / 4

= 2

Nilai K1 = NKB + [(LK-LKB) / (LKA - LKB)] x (NKA - NKB)

= 0 + [(2-1)/(3-1)] x (1.900.000 - 1.300.000)

= 1.600.000

Kuartil 2 = 4

Nilai kuartil 2 = 73.936.750

Kuartil 3 = 6

Nilai kuartil 3 = 1.949.628.950

Range = Nilai terbesar – nilai terkecil

= 1.929.374.400 - 1.300.000

= 1.928.074.400

No Nama WP Jumlah penerimaan

1 Studio Theatre 1.300.000

2 Movie Time VCD 1.350.000

3 Movie Time Palma VCD 1.900.000

4 Solo Movie 4.850.000

5 Bioskop Solo Paragon XXI 145.973.500

6 Bioskop Grand 21 Theatre 907.255.000

7 Bioskop Solo Square XXI 1.929.374.400

 TOTAL 2.992.002.900

BAB 3 DAN BAB 4

Selain itu kita akan mencari deviasi rata-rata, varians, standar deviasi, koefisien range, koefisien deviasi rata-rata, koefisien standar

deviasi, range interkuartil, deviasi kuartil, koefisien kecondongan, dan koefisien keruncingan dengan bantuan tabel berikut:

Tabel penghitungan

No Nama WPTotal tahun

2013X- |X-| (X-)2 (X-)4

1Studio Theatre

1.300.000

(426.128.986)

426.128.986

181.585.912.465.886.000

32.973.443.606.068.400.000.000.000.000.000.000

2Movie Time VCD

1.350.000

(426.078.986)

426.078.986

181.543.302.067.314.000

32.957.970.525.504.200.000.000.000.000.000.000

3 Movie Time Palma VCD

1.900.000

(425.528.986)

425.528.986

181.074.917.683.029.000

32.788.125.813.915.700.000.000.000.000.000.000

4Solo Movie

4.850.000

(422.578.986)

422.578.986

178.572.999.167.314.000

31.888.316.031.609.700.000.000.000.000.000.000

5 Bioskop Solo Paragon XXI

145.973.500

(281.455.486)

281.455.486

79.217.190.438.664.500

6.275.363.260.995.640.000.000.000.000.000.000

6 Bioskop Grand 21 Theatre

907.255.000

479.826.014

479.826.014

230.233.003.985.314.000

53.007.236.124.101.800.000.000.000.000.000.000

7 Bioskop Solo Square XXI

1.929.374.400

1.501.945.414

1.501.945.414

2.255.840.027.493.890.000

5.088.814.229.643.610.000.000.000.000.000.000.000

  2.992.002.900  

3.963.542.857

3.288.067.353.301.410.000

5.278.704.685.005.810.000.000.000.000.000.000.000

Deviasi rata-rata = ∑ ¿X−¿n

= 3.963.542 .857

7

= 566.220.408

BAB 3 DAN BAB 4

Varians = (X−μ)N

= 3.288.067 .353 .301 .410 .000

7

=..469.723.907.614.487

Standar deviasi : √ (X−μ)N

= √469.723 .907 .614 .487

= 685.364.069

Koefisien range = (La-Lb) / (La+Lb)

= (1.929.374.400 - 1.300.000) / (1.929.374.400 + 1.300.000)

Koefisien deviasi rata-rata = (deviasi rata-rata / nilai rata-rata data) x 100%

= 566.220.408 / 427.428.986 x 100%

= 132,47%

Koefisien standar deviasi = standar deviasi / nilai rata-rata data x 100%

= 685.364.069 / 427.428.986 x 100%

= 160,35%

Range interkuartil = K3 – K1

= 1.949.628.950 – 1.600.000

= 1.948.028.950

Deviasi kuartil = (K3 – K1) / 2

= 1.948.028.950 / 2

= 974.014.475

Koefisien kecondongan = 3 ( -Md) /

= 3 (427.428.986 - 4.850.000) / 685.364.069

= 1,85

BAB 3 DAN BAB 4

Koefisien keruncingan = 1nf .¿¿¿

= 175.278 .704 .685.005 .810 .000 .000 .000 .000.000 .000 .000

220.640 .549 .384 .623 .000.000 .000 .000 .000 .000 .000

= 3,42