Matematika

Pertanyaan

Mean dari data p-5, 12, p, 24, p+7, p+5 adalh 19. Berapakah median data di atas

1 Jawaban

  • Mean dari data p-5, 12, p, 24, p+7, p+5 adalh 19. Berapakah median data di atas

    JAWAB

    ⇨Mean = [(p-5) + 12 + p + 24 + (p+7) + (p+5)]/6
    ⇨ 19 = (p-5 + 12 + p + 24 + p+7 + p+5)/6
    ⇨ 19 = (4p + 43)/6
    ⇨ 114 = 4p + 43
    ⇨ 71 = 4p
    ⇨ p = 71/4
    ⇨ p = 17,75

    sehingga
    ◆ p = 17,75
    ◆ p - 5 = 17,75 - 5 = 12,75
    ◆ p + 7 = 17,75 + 7 = 24,75
    ◆ p + 5 = 17,75 + 5 = 22,75

    Urutan data:
    12 — 12,75 — 17,75 — 22,75 — 24 — 24,75

    Median = (17,75+22,75)/2 = 40,5/2 = 20,25

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