Students in West Virginia primarily go to public schools, students in Utah are more likely to go to private LDS schools.
I wasn't aware that the LDS church operated many private schools below the college level. I do know that there is a substantial number of Mormon homeschoolers. There are enough publishers that provide texts and materials for homeschoolers that Mormon families can select curricula without the Baptistic or Calvinist leanings of the largest providers of materials like A-Beka or Bob Jones.