While some credit unions and banks in more than a dozen states are experiencing an increase in their average deposit rates, they may need to make some adjustments.

New data from research firm Market Rates Insight showed that despite an overall decrease in the national average deposit rate in the first four months of 2011, some states are showing an increase in the average deposit rate.

Although these states showed the highest increase, they do not necessarily offer the highest rates overall, the firm noted.

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