Hitungan Statistik Pencacahan.docx

Data dan Pengolahan Data Statistik Pencacahan No.

CA

CN (CA – CL rerata)

CL

(CN – CNrerata)

𝝈

̂ )/𝝈 (CN - 𝐂𝐍

CN2

1.

2581

50

2531

-9.914 50.4074

-0.19668

6405961

2.

2611

57

2554

13.086 50.4074

0.259605

6522916

3.

2463

46

2417

-123.914 50.4074

-2.45825

5841889

4.

2555

51

2504

-36.914 50.4074

-0.73231

6270016

5.

2557

50

2507

-33.914 50.4074

-0.6728

6285049

6.

2627

45

2582

41.086 50.4074

0.815079

6666724

7.

2554

54

2500

-40.914 50.4074

-0.81167

6250000

8.

2558

34

2524

-16.914 50.4074

-0.33555

6370576

9.

2628

37

2591

50.086 50.4074

0.993624

6713281

10.

2557

42

2515

-25.914 50.4074

-0.51409

6325225

11.

2581

40

2541

0.086 50.4074

0.001706

6456681

12.

2556

29

2527

-13.914 50.4074

-0.27603

6385729

13.

2622

42

2580

39.086 50.4074

0.775402

6656400

14.

2623

28

2595

54.086 50.4074

1.072977

6734025

15.

2635

33

2602

61.086 50.4074

1.211846

6770404

16.

2650

46

2604

63.086 50.4074

1.251523

6780816

17.

2587

47

2540

-0.914 50.4074

-0.01813

6451600

18.

2652

44

2608

67.086 50.4074

1.330876

6801664

19.

2597

37

2560

19.086 50.4074

0.378635

6553600

20.

2585

45

2540

-0.914 50.4074

-0.01813

6451600

21.

2576

45

2531

-9.914 50.4074

-0.19668

6405961

22.

2629

52

2577

36.086 50.4074

0.715887

6640929

23.

2539

46

2493

-47.914 50.4074

-0.95054

6215049

24.

2561

35

2526

-14.914 50.4074

-0.29587

6380676

25.

2613

42

2571

30.086 50.4074

0.596857

6610041

26.

2575

40

2535

-5.914 50.4074

-0.11732

6426225

27.

2585

38

2547

6.086 50.4074

0.120736

6487209

28.

2598

34

2564

23.086 50.4074

0.457988

6574096

29.

2626

45

2581

40.086 50.4074

0.79524

6661561

30.

2574

50

2524

-16.914 50.4074

-0.33555

6370576

31.

2510

38

2472

-68.914 50.4074

-1.36714

6110784

32.

2542

39

2503

-37.914 50.4074

-0.75215

6265009

33.

2560

54

2506

-34.914 50.4074

-0.69264

6280036

34.

2583

48

2535

-5.914 50.4074

-0.11732

6426225

35.

2587

42

2545 4.085714286 50.4074 CN rerata = ∑ (CN – 2540.914286 CNrerata)= 0.009714286

0.081054 ∑ (CN ̂ )/𝝈 = 𝐂𝐍 0.000193

6477025 ∑CN2 = 226025558

CL rerata = 42

∑CN = 88932

Rerata (CN ̂ )/𝝈 = 𝐂𝐍 5.50616 x 10-6

 Standar deviasi populasi (Cacah Netto) σn........... ∑ CN σn = √

2

−

(∑ 𝐶𝑁) 𝑛

𝑛

2

(226025558)−

=√

(88932)2 35

35

= 40,34

 Standar deviasi sampel (Cacah Netto) σn-1................

∑ CN2 −

σn-1 = √

2 (∑ 𝐶𝑁) 𝑛 =

(88932)2 35 = 40,93

√√(226025558)−

𝑛−1

34

 Laju cacah netto/ jumlah data cacahan :

∑ 𝐶𝑁 = 88932 = 2540,91 𝐶̂ = 𝑛

35

 Koefisien variasi cacahan awal :

CVN = σn−1 = 40,93 = 0,0161

̂ CN

2540,91

 Koefisien variasi cacahan :

CV1 = σn−1 =40,93 = 0,061

̂ C1

2531

 Rambatan ralat = √(

𝑑𝑥

𝑑𝑦

2

𝐶𝑉𝑠) + (

𝑑𝑥

𝑑𝑦

2

𝐶𝑉1)

=

 √(0,0161)2 + (0,0161)2 = 0,0227  Efisiensi : ɳ =

𝑐𝑝𝑠 𝑑𝑝𝑠

=

𝟐𝟓𝟒𝟎,𝟗𝟏

36408,14

x 100% = 6,9%

Cacah per detik 35 data = 2540,91 cps Disintegrasi per detik = 36408,14 dps (Bq)