Report card grades

Karolína does not want to reveal at home what grades she will get on her report card. She said only this: "There will be 8 marks on the report card, their arithmetic mean is 2.125, the median is 2, the mode is 1, and I will not have any 2's. How many fours will Karolína have on her report card?

Final Answer:

x =  1

Step-by-step explanation:

$$\begin{gathered} 1,1,1,1,2,2,4,5 \\ {a}_1=\frac{1+1+1+1+2+2+4+5}{8}=\frac{17}{8}=2\frac{1}{8}=2.125 \\ m=2 \\ {m}_1=1 \\ x=1 \end{gathered}$$

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