July 3, 1982

The nation's unemployment rate remained unchanged in June, holding at 9.5 percent of the labor force, the highest level in 40 years. Despite the steadiness in the rate, the labor market in June appeared somewhat weaker than in May, Dr. Janet Norwood, commissioner of the Bureau of Labor Statistics, told the Joint Economic Committee of Congress today. ''Unemployment rose among adult men and factory employment declined after seasonal adjustment,'' Dr. Norwood said. She was referring to the bureau's adjustment of the statistics to eliminate the effects of seasonal changes in the economy and to make the overall trend clearer.

The $21 billion tax bill approved by the Senate Finance Committee today reflects a growing desire expressed by members of Congress to crack down on tax evasion and move toward a simpler income tax with markedly lower tax rates from top to bottom. The bill was approved shortly before 2 A.M. by a party-line vote of 11 Republicans to 9 Democrats. The panel's chairman, Senator Bob Dole, Republican of Kansas, said later that floor action in the Senate later this month would show there was less Democratic opposition to the bill than the nine Democratic ''no'' votes appeared to suggest. ''I don't think the vote is indicative of a lack of bipartisan support,'' Senator Dole said at a midday news conference.

A listing of jazz festival events in Weekend yesterday gave an incorrect time for a concert tomorrow at the South Street Seaport with Daniel Ponce and New York Now-Afro-Cuban Percussion Ensemble, Shannon Jackson and the Decoding Society and the Archie Shepp Quintet. It is 5:30 P.M. to 9:30. There is no 9:30 show.

A photograph accompanying an article on Florida banking in Business Day last Saturday carried an erroneous caption. It showed Robert Marlin, a developer who is part of a group investing in the Southeast Banking Corporation.

SHEMALI, Lebanon, July 1 - In the densely populated Palestinian refugee camps of southern Lebanon, the end of the fighting has not meant the end of the war. Since the guns fell silent in this region more than two weeks ago, the Israeli Army has systematically destroyed many of the Palestinians' houses that survived the battles, increasing the number of homeless families, many of them with children. Over the years the Palestinian guerrillas had adopted the practice of integrating military installations in the camps' civilian settlements. Israeli army demolition teams have been blowing up what they say are underground ''bunkers'' - the Palestinians call them ''shelters''- and that has meant taking the houses above too. The combination of combat and subsequent demolition has left many of the children and their mothers to pick through the broken and crushed slabs and chunks of concrete that cover their possessions.