In 1975, when Agnetha and Frida were promoting their Solo Albums of the year, Agnetha sounded the same way she did in the studio, a nice normal voice.
When ABBA did their huge 1977 tour, suddenly, they began singing even higher than usual. The song "Money, Money, Money", which Frida said was the best because her voice was so deep in that one, Frida sounded much higher than the way she did in the studio recording.
Suddenly in 1978 when they performed live in Japan and on the Generation Game show, they went back to normal pitch.
In 1979, when ABBA did their world tour, Agnetha and Frida turned high and squeaky! When Agnetha sings "As Good As New" in the studio recording, she sounds normal. But when she performed the same song life, she's suddenly extremely high and squeaky! I was just listening to a recording of "As Good As New" live and Agnetha is too high! :-o
In 1981 when ABBA performed live on the Dick Cavett show, the girls sang a little deeper than high and squeaky, but they were singing in a pretty high pitch.
I'm quite surprised that when performing live, they sound so high pitched! Well, they certainly didn't sound as high as this: :P