To calculate the sample mean height, you sum all the heights and then divide by the number of girls.
The heights are: 64, 67, 65, 71, 73, and 69.
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First, sum the heights: \[ 64 + 67 + 65 + 71 + 73 + 69 = 409 \]
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Next, divide by the number of girls (which is 6): \[ \text{Mean} = \frac{409}{6} \approx 68.17 \]
To round to the nearest inch, the mean height is approximately 68 inches.
So, the answer is 68.