We have formed ``composite spectra by combining the integrated-light spectra of individual galaxies in 8 intermediate-redshift and 12 low-redshift clusters of galaxies. Because these composite spectra have much higher signal-to-noise ratios than individual galaxy spectra, they are particularly useful in quantifying general trends in star formation for galaxy populations in distant clusters, z > 0.3. By measuring diagnostic features that represent stellar populations of very different ages, a grand-composite spectrum can reflect the fractions of those populations as accurately as if excellent spectral measurements were available for each galaxy. Measuring the equivalent widths of spectral features in composite spectra is especially well-suited for comparing cosmic variance of star formation in clusters at a given redshift, or comparing clusters over a range of redshifts. When we do this we find that [O II] emission and especially Balmer absorption is strong in each of our intermediate-redshift clusters, and completely separable from a sample of 12 present-epoch clusters, where these features are weak. Specifically, we show by comparing to the H-delta strengths of present-epoch populations of continuously star-forming galaxies that the higher-redshift samples must contain a much higher fraction of starburst galaxies than are found today in any environment.
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