Solid, and organised in a way that will confuse you for about a week. The village has one school of its own. Everything after that involves a car. The county's record is broadly good rather than dazzling. Wedmore is a place where the education works, provided you accept that most of it happens somewhere else.
Wedmore First School Academy is the school in the village itself, taking children from four upwards. It has been there since 1876 and became an academy in 2011, joining a multi-academy trust in 2016 alongside seven other schools in the Cheddar Valley. The local arrangement is the three-tier system, so first schools hand on to a middle school and the middle school hands on to a secondary. That is normal here and unusual almost everywhere else, and it catches out buyers who assume their child will move once at eleven rather than twice.
For the wider picture, Ofsted has graded 140 settings across Somerset, the local authority that covers Wedmore, and 101 of those hold good or better. That is a little over seven in ten. Five are rated outstanding, 32 require improvement and seven are rated inadequate. A further 81 settings hold no published grade at all, either because they have not yet been inspected or because their inspection outcome is not graded, and they should not be read as bad news in either direction. These counts cover the whole county rather than the village, so they describe the system Wedmore sits inside, not the specific schools your child would attend.
Which brings up the thing every buyer gets wrong. Living in Wedmore does not entitle you to a place at Wedmore First School Academy. Admissions are run on published criteria, oversubscribed schools apply them in order, and the criteria do not care that you paid a premium for the postcode. The village school has a capacity that is not infinite and a catchment drawn by somebody who has never seen your kitchen extension. Check the current admissions arrangements with the county before you offer on a house, not after. Buyers who do this get the school they expected. Buyers who assume the postcode does the work get a letter in spring explaining, politely, that the rules were public the whole time.
Secondary schooling means leaving the parish. The Department for Transport's modelling puts the nearest secondary at roughly 16 minutes by car, 37 minutes on public transport, and around 74 minutes on foot, which is a walk nobody is doing twice. Primary is closer at about 8 minutes by car and 22 on foot. Given that half the working population here drives and essentially nobody uses the bus, the school run is a car journey by default, and the timetable of the average household is built around it. The compensating fact is that these are country-lane journeys through the moors rather than a crawl through a ring road, which is either a pleasure or a chore depending on the weather and how far into the term you are.
The rest of the local provision sits in the surrounding villages and the Cheddar Valley, and the honest position is that the brief carries grades for the county rather than for each individual school. Anyone with a specific school in mind should read its own most recent inspection report rather than infer from the county average, because a county average is a blunt instrument and your child attends exactly one school.
Schooling is a genuine point in Wedmore's favour without being the reason anyone moves here. The county record is comfortably more good than not, the village has its own school, and the price of that is a three-tier system and a lot of driving.