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Mean, Median, Modus Tunggal dan Jangkauan dari 8 buah bilangan cacah adalah 8 maka berapakah
angka terbesar yang mungkin dari sekumpulan data ini?
Karena Median dan Modus Tunggal = 8 maka data setelah diurutkan menjadi :
𝑎, 𝑏, 𝑐, 8, 8, 𝑑, 𝑒, 𝑓
Karena Mean dan Jangkauan = 8 maka untuk mencari nilai terbesar f paling mungkin adalah f < 16 :
7, 𝑏, 𝑐, 8, 8, 𝑑, 𝑒, 15
Kemungkinan 1:
𝑏 , 𝑐 = 7
𝑑, 𝑒 = 8
7, 7, 7, 8, 8, 8, 8, 15
𝑚𝑒𝑎𝑛 ≠ 8
6, 𝑏, 𝑐, 8, 8, 𝑑, 𝑒, 14
Kemungkinan 2:
𝑏 , 𝑐 = 6
𝑑, 𝑒 = 8
6, 6, 6, 8, 8, 8, 8, 14
𝑚𝑒𝑎𝑛 = 8 maka nilai terbesar f adalah 14.
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Stk1

  • 1. Mean, Median, Modus Tunggal dan Jangkauan dari 8 buah bilangan cacah adalah 8 maka berapakah angka terbesar yang mungkin dari sekumpulan data ini?
  • 2. Karena Median dan Modus Tunggal = 8 maka data setelah diurutkan menjadi : 𝑎, 𝑏, 𝑐, 8, 8, 𝑑, 𝑒, 𝑓 Karena Mean dan Jangkauan = 8 maka untuk mencari nilai terbesar f paling mungkin adalah f < 16 : 7, 𝑏, 𝑐, 8, 8, 𝑑, 𝑒, 15 Kemungkinan 1: 𝑏 , 𝑐 = 7 𝑑, 𝑒 = 8 7, 7, 7, 8, 8, 8, 8, 15 𝑚𝑒𝑎𝑛 ≠ 8 6, 𝑏, 𝑐, 8, 8, 𝑑, 𝑒, 14 Kemungkinan 2: 𝑏 , 𝑐 = 6 𝑑, 𝑒 = 8 6, 6, 6, 8, 8, 8, 8, 14 𝑚𝑒𝑎𝑛 = 8 maka nilai terbesar f adalah 14.