There are a number of good books to explain the main concepts of statistics without getting bogged down in the technical details. As a grad student at a public university in the USA, I worked as a teaching assistant for the undergraduate course Introduction to Statistics. The course used SPSS software to enable the students to perform statistical analysis on data sets. Although we offered a good textbook (listed below), many of the students struggled with the main concepts, so my colleagues and I added a optional supplemental reading list to the syllabus. The following books are the ones we recommended to the students. I have read all these books, and they are pretty good at explaining statistics to anyone interested in learning the material at a conceptual level; anyone can read and understand these books, regardless of their educational background.
Ian Ayres (2007) Super Crunchers: Why Thinking by Numbers is the New Way to Be Smart.
Joseph Healey (2020) Statistics: A Tool for Social Research [This is the textbook used in the class, which I highly recommend].
John Allen Paulos (1988) Innumeracy: Mathematical Illiteracy and Its Consequences.
Nate Silver (2012) The Signal and the Noise: Why So Many Predictions Fail, but Some Don't.
Nassim Nicholas Taleb (2005) Fooled by Randomness, second edition.
Nassim Nicholas Taleb (2010) The Black Swan: The Impact of the Highly Improbable, second edition.
Ian Ayres (2007) Super Crunchers: Why Thinking by Numbers is the New Way to Be Smart.
Joseph Healey (2020) Statistics: A Tool for Social Research [This is the textbook used in the class, which I highly recommend].
John Allen Paulos (1988) Innumeracy: Mathematical Illiteracy and Its Consequences.
Nate Silver (2012) The Signal and the Noise: Why So Many Predictions Fail, but Some Don't.
Nassim Nicholas Taleb (2005) Fooled by Randomness, second edition.
Nassim Nicholas Taleb (2010) The Black Swan: The Impact of the Highly Improbable, second edition.