A Southeast Washington 11th grader was shot and killed yesterday morning by two teen-agers who robbed the youth of his "boom box" music player, D.C. police said yesterday.

Kendal Merriweather, 17, of 5048 C St. SE died of several bullet wounds in his side, which he received at about 9:45 a.m. during the apparent robbery a few blocks from Frank W. Ballou High School, police said. Police arrested two 17-year-old Ballou students 45 minutes later in a house in the 400 block of Orange Street SE.

Police charged the two with felony murder but did not release their names because they are juveniles. However, police said that they will ask that the two be charged as adults in a Superior Court arraignment today.

Police gave this account of the incident: Merriweather, toting a large music player and some books, went into a fast-food shop where several other Ballou students were gathered yesterday.

Several youths, apparently coveting Merriweather's music player, followed him out of the restaurant and attacked him in the 500 block of Raleigh Street SE at Martin Luther King Avenue, about two blocks from the school. Two youths approached him, and one of them drew a handgun, took the music player and shot him several times. The teen-agers fled.

Police said that a number of young people who were at the fast-food shop, a popular hangout of Ballou students, provided information that led quickly to the two arrests. "In this case the citizens have been very cooperative, unlike some recent cases," an officer said.

Earlier this year a Prince George's County teen-ager was shot to death over a pair of $100 designer sunglasses.