jika diketahui 4 buah data pengamatan dengan rata-rata 30 median 30 dan jangkauan 40 maka data yang terkecil adalah

11 sec read


jika diketahui 4 buah data pengamatan dengan rata-rata 30 median 30 dan jangkauan 40 maka data yang terkecil adalah​

Misalkan data : x1, x2, x3, x4

Median = ½ ( x2 + x3 )

30 = ½ ( x2 + x3 )

30.2 = x2 + x3

60 = x2 + x3

x =  \frac{x1 + x2 + x3 + x4}{4}  \\ 30 =  \frac{x1 + x2 + x3 + x4}{4}  \\ 30.4 = x1 + x2 + x3 + x4 \\ 120 = x1 + x2 + x3 + x4

Jangkauan = x4 – x1

40 = x4 – x1

40 + x1 = x4

x1 + x2 + x3 + x4 = 120 2×1 = 120 – 100

x1 + 60 + 40 + x1 = 120 2×1 = 20

100 + 2×1 = 120 x1 = 10

Jadi, data terkecilnya adalah 10


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