Jadual Skor maksimum ujian

Data Ujian Pra

Skor (

x ¿

Ujian pra (

f ) 𝑓𝑥 %x2 𝑓x2

1 7 7 58% 1 49

2 2 4 17% 4 16

3 2 6 17% 9 36

4 1 4 8% 16 16

5 0 0 0% 25 0

N = 12 ∑𝑓𝑥 = 21 ∑ = 100% ∑𝑓x2=117Min, μ=

7 x1+2 x2+2 x3+1 x 4+0x 512

= 1.75

Sisihan Piawai, σ= √∑ f x2N−(∑fxN )

2

= √ 11712 −( 2112 )2

= √9.75−3.06

= 2.59

Data Ujian Pasca

Skor (

x ¿

Ujian pra (

f ) 𝑓𝑥 %x2 𝑓x2

1 0 0 0% 1 0

2 0 0 0% 4 0

3 1 3 8% 9 9

4 3 12 25% 16 144

5 8 40 67% 25 1600

N = 12 ∑𝑓𝑥 = 55 ∑ = 100% ∑𝑓x2=1753Min, μ=

0 x1+0 x2+1 x3+3x 4+8 x512

= 4.58

Sisihan Piawai, σ= √∑ f x2N−(∑fxN )

2

= √ 175312 −( 5512 )2

= √146.08−21.01

= 11.18

Ujian Pra Ujian Pasca

Min ( μ¿ 1.75 4.58

Sisihan Piawai(σ ) 2.59 11.18

Minimum 1 3

Maximum 4 5

N 12 12