Diketahu data (2x-2),(3x-2),(x+4),(2x+3) jika mean data tersebut 13. Median data tersebut adalah

jawab

Mean = 2x - 2 + 3x - 2 + x + 4 + 2x + 3 / 4
13 = 2x + 3x + x + 2x - 2 - 2 + 4 + 3 / 4
13 = 8x + 3 / 4
8x + 3 = 13 × 4
8x + 3 = 52
8x = 52 - 3
8x = 49
x = 49/8
x = 6,125

Data 1 = 2x - 2 = 2(6,125) - 2 = 12,25 - 2 = 10,25
Data 2 = 3x - 2 = 3(6,125) - 2 = 18,375 - 2 = 16,375
Data 3 = x + 4 = 6,125 + 4 = 10,125
Data 4 = 2x + 3 = 2(6,125) + 3 = 12,25 + 3 = 15,25


10,125 , 10,25 , 15,25 , 16,375

maka median
= ( 10,25 + 15,25 ) / 2
= 25,5 / 2
= 12,75

semoga membantu