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Latihan Penyebaran Data Kelas 8

Quiz

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Quiz tentang jangkauan, kuartil, IQR, dan simpangan kuartil

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Latihan Penyebaran Data Kelas 8
 

Latihan Penyebaran Data Kelas 8Online version

Quiz tentang jangkauan, kuartil, IQR, dan simpangan kuartil

by khusus editing
1

Dari data 5, 9, 7, 12, 2 tentukan jangkauannya.

2

Data 14, 3, 21, 8, 13, 7, 18, 12 : berapa Q1 (kuartil 1)?

3

Data 9, 5, 14, 7, 16, 5, 12, 8 : berapa Q3?

4

Data 10, 4, 8, 2, 6: tentukan jangkauannya.

5

Data 7, 2, 9, 1, 5, 2, 8, 3 : tentukan jangkauan kuartilnya

6

Data 21, 10, 30, 14, 23, 12, 18, 15 : tentukan Simpangan kuartilnya.

7

Dari data 15, 9, 18, 4, 10, 9, 16 : jangkauannya adalah?

8

Rina mencatat jumlah langkah kaki yang ia tempuh selama 7 hari: 3.000, 4.500, 5.000, 3.500, 6.000, 4.000, 5.500 Berapakah jangkauan data tersebut?

9

Seorang siswa mencatat waktu belajar (menit) selama beberapa hari: 30, 40, 45, 50, 60, 70, 80 Berapakah jangkauan kuartil data tersebut?

10

Data tinggi tanaman (cm) di kebun: 10, 12, 15, 18, 20, 22, 25 Berapakah simpangan kuartil dari data tersebut?

Penjelasan

Jangkauan = nilai maksimum dikurangi minimum.

Q1 adalah median dari setengah data pertama.

Q3 adalah median dari setengah data kedua.

Range = max - min.

Jangkauan Kuartil = Q3 − Q1.

Simpangan kuartil = (Q3 − Q1)/2.

Range = max − min.

Jangkauan adalah selisih antara nilai terbesar dan nilai terkecil dalam suatu data. Nilai terbesar = 6.000 Nilai terkecil = 3.000 Maka: Jangkauan = 6.000 − 3.000 = 3.000

Jangkauan kuartil adalah selisih antara kuartil atas (Q3) dan kuartil bawah (Q1). Langkahnya: Data sudah urut. Q1 = median dari data bawah → (30, 40, 45) = 40 Q3 = median dari data atas → (60, 70, 80) = 70 Maka: Jangkauan kuartil = Q3 − Q1 = 70 − 40 = 30

Simpangan kuartil adalah setengah dari jangkauan kuartil. Langkahnya: Data sudah urut. Median (Q2) = 18 Q1 = median data bawah → (10, 12, 15) = 12 Q3 = median data atas → (20, 22, 25) = 22 Hitung: Jangkauan kuartil = 22 − 12 = 10 Simpangan kuartil = ½ × 10 = 5

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