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1. Fifth decile of fund growth rates ●○○○○ 10 ptsA mutual fund achieved the following monthly growth rates (in percent) over an 11-month period: 3, 2, 7, 8, 2, 4, 3, 7.5, 7.2, 2.7, 2.09. Determine the 5th decile of the data (give the value in percent, without the % sign).
2. Mean, spread and 90th percentile of heights ●●○○○ 20 ptsFor women athletes at UCLA, heights are approximately normal. The 25th percentile height is $62.5$ inches and the 75th percentile height is $65.5$ inches. Using $z=\pm 0.67$ for these quartiles, find the mean $\mu$ and the standard deviation $\sigma$ of the heights. Then, using $z=1.28$ for the 90th percentile, find the 90th percentile height. Round $\sigma$ and the 90th percentile height to two decimal places.