To find the five-number summary of the height data, we first order the heights: 63, 66, 66, 70, 75. The minimum is 63, the first quartile (Q1) is 66, the median (Q2) is 66, the third quartile (Q3) is 70, and the maximum is 75, yielding a five-number summary of 63, 66, 66, 70, and 75.
To calculate the standard deviation, we first find the mean of the heights, which is 66. The deviations from the mean are calculated as follows: (63 - 66)² = 9, (66 - 66)² = 0, (66 - 66)² = 0, (70 - 66)² = 16, and (75 - 66)² = 81. The average of these squared deviations is 13.2, and taking the square root gives a standard deviation of approximately 3.63.
In summary, the five-number summary is 63, 66, 66, 70, and 75, and the standard deviation is approximately 3.63.