Question

10. Diberikan data berikut :

7, 5, 8, 7, 9, 6, 6, 6, 8, 5, 9, 8, 6, 7, 9.



Tentukan

a. Data terurut =

b. Median =

c. Modus =

d. Rata-rata =

e. Jangkauan =

f. Quarti atas =

g. Quarti Tengah =

h. Quartil atas =

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Answer 1

Verified answer

a.) Data terurut = 5, 5, 6, 6, 6, 6, 7, 7, 7, 8, 8, 8, 9, 9, 9

5, 5, 6, 6, 6, 6, 7, | 7, | 7, 8, 8, 8, 9, 9, 9

b.) median(nilai tengah) = 7

c.) modus(nilai terbanyak) =

5 = 2

6 = 4

7 = 3

8 = 3

9 = 3

Jadi, modus dari data tersebut adalah 6

d.) Rata-rata = Jumlah data/banyaknya data

Rata-rata = 5 + 5 + 6 + 6 + 6 + 6 + 7 + 7 + 7 + 8 + 8 + 8 + 9 + 9 + 9/15

= 10 + 6 + 6 + 6 + 6 + 7 + 7 + 7 + 8 + 8 + 8 + 9 + 9 + 9/15

= 16 + 6 + 6 + 6 + 7 + 7 + 7 + 8 + 8 + 8 + 9 + 9 + 9/15

= 22 + 6 + 6 + 7 + 7 + 7 + 8 + 8 + 8 + 9 + 9 + 9/15

= 28 + 6 + 7 + 7 + 7 + 8 + 8 + 8 + 9 + 9 + 9/15

= 34 + 7 + 7 + 7 + 8 + 8 + 8 + 9 + 9 + 9/15

= 41 + 7 + 7 + 8 + 8 + 8 + 9 + 9 + 9/15

= 48 + 7 + 8 + 8 + 8 + 9 + 9 + 9/15

= 55 + 8 + 8 + 8 + 9 + 9 + 9/15

= 63 + 8 + 8 + 9 + 9 + 9/15

= 71 + 8 + 9 + 9 + 9/15

= 79 + 9 + 9 + 9/15

= 88 + 9 + 9/15

= 97 + 9/15

= 106/15

= 7,06

e.) Jangkauan =

Xmaks - Xmin(nilai terbesar - nilai terkecil)

Xmaks - X min

= 9 - 5

= 4

f.) Quartil bawah =

5, 5, 6, 6, 6, 6, 7, | 7, | 7, 8, 8, 8, 9, 9, 9

Q1 = 6

g.) Quartil tengah =

5, 5, 6, 6, 6, 6, 7, | 7,| 7, 8, 8, 8, 9, 9, 9

Quartil2 = 7

h.) Quartio atas =

5, 5, 6, 6, 6, 6, 7, | 7, | 7, 8, 8, 8, 9, 9, 9

Quartil3 = 8