If the court finds that any property set out in the report of the engineer or other plans submitted by petitioners should not be incorporated in the district, the board of commissioners or any owner of realty in the district may, within 20 days after the refusal of the court of probate to include said property in the district, appeal from the order of the court to the circuit court upon giving bond in a sum to be fixed by the court, conditioned for the payment of costs if the appeal should be decided against said appellant. Any person owning lands within the district that, in his opinion, should not be included in the district may, within 20 days, appeal from the decision of the court to the circuit court by filing an appeal accompanied by a bond approved by the court, conditioned for the payment of the cost if the appeal should be decided against him.