What is the difference bewteen a managed mutual fund and an index mutual fund?

A mutual fund is managed by a portfolio manager and an index mutual fund is considered to be passively managed because it holds the same stocks

Index funds are a type of mutual fund. Mutual funds may be actively or passively managed. an actively managed mutual fund attempts to apply discretion to choose a basket of stocks that collectively outperform the market or their relevant benchmark ... Most ETFs are exchange traded versions of index funds.