# Find the high schooler's ability that reoresents the 48% tile

Find the high schooler's ability that reoresents the 48% tile
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$\mu =53.9$
$\sigma =28.5$
proportion $=0.48$
Z value at $0.48=-0.05$
$z=\frac{x-\mu }{\sigma }$
so, $X=z\sigma +\mu =-0.05\cdot 28.5+3.9$
X = 52.47