The 2013-14 Michigan school rankings are available online as a pdf. Try googling 2013-14 Michigan School Rankings. The percentile scores are shown in the extreme right hand column. These are like SAT and ACT percentiles (high is good) and not like NIH grant proposal percentiles (inexplicably, there low is good).
Then you can search the pdf for “Charter” and for “Public” and draw your own conclusions. Some of the charter schools have “Academy” in the name, rather than “Charter.”
For 2011-12 there is an Excel spreadsheet with the schools rank-ordered top to bottom by percentile scores, which is somewhat more convenient for searching. It appears to me that more recent comprehensive data (more recent than 2013-14) will not be issued until this fall. The full lists are not produced every year. It is possible to search for an individual school’s performance in the most recent year, though.
The state’s percentile rankings tend to somewhat obscure the differences among the schools, because they are not based purely on the students’ performance on the statewide exams, but draw in other factors. I understand the rationale for this, but it may give parents false assurances about the performance by the students in their local schools.
Also, in the past at least, charter schools have been exempt from being scored until they have comparison data from the same school in previous years.
I am not saying that charter schools cannot perform very well–some of them do exceptionally well. Some of them do very well, relative to the public schools in the same area. I think that some charter schools in other states have out-performed the great majority of the charter schools in Michigan. Also, parochial and private schools do not participate in some of the state rankings. But if I were to offer one brief comment about the performance of existing charter schools in Michigan, it would be that the majority do not solve the problems in education for their students.