Question

Diketahui data data: 4, 3,6,6,6,7,4,5,5,6, 5,8,9,8,9,6,8,7,7,7,6,8
Tentukan mean, media dan modus

Answer 1

data :

• 4
• 3
• 6
• 6
• 6
• 7
• 4
• 5
• 6
• 5
• 8
• 9
• 8
• 9
• 6
• 8
• 7
• 7
• 7
• 6
• 8

susun data :

3 = 1

4 = 2

5 = 3

6 = 6

7 = 4

8 = 4

9 = 2

maka :

1) mean :

= 3(1) + 4(2) + 5(3) + 6(6) + 7(4) + 8(4) + 9(2)/7

= (3 + 8 + 15 + 36 + 28 + 32 + 18)/7

= (11 + 51 + 60 + 18)/7

= (62 + 78)/7

= 140/7

= 20

2) median :

= (6 ÷ 2) + (6 ÷ 2) + 1)/2

= (3 + 3 + 1)/2

= (6 + 1)/2

= 7/2

= 3,5

data 3,5 berada pada posisi 6

3) modus = 6

Answer 2

Penjelasan dengan langkah-langkah:

Data :

4, 3, 6, 6, 6, 7, 4, 5, 5, 6, 5, 8, 9, 8, 9, 6, 8, 7, 7, 7, 6, 8

4 = 2

3 = 1

6 = 6

7 = 4

8 = 4

9 = 2

5 = 3

Banyak data : 22

------------------------------------

Mean :

[tex] = \: \frac{ \text{Jumlah data}}{ \text{Banyak data}}[/tex]

[tex] \small= \frac{(4 \times 2) + 3 + (6 \times 6) + (7 \times 4) + (8 \times 4) + (9 \times 2) + (5 + 3)}{22} [/tex]

[tex] = \frac{8 + 3 + 36 + 28 + 32 + 18 + 15}{22} [/tex]

[tex] = \frac{140}{22} [/tex]

[tex] = \bold{6.3}[/tex]

Median :

3,4,4,5,5,5,6,6,6,6,6,6,7,7,7,7,8,8,8,8,9,9

= (6 + 6)/2

= 12/2

= 6

Modus = Data terbanyak = 6