Final answer:
The upper quartile of the given data set is 68 inches.
Step-by-step explanation:
To find the upper quartile, Q3, of a data set, we need to arrange the data in ascending order and find the median of the upper half of the data.
The given data set is: 60, 66, 65, 74, 68, 67, 70, 65, 67, 69, 71, 68, 67, 70, and 68.
Arranging this data in ascending order, we get:
60, 65, 65, 66, 67, 67, 67, 68, 68, 68, 69, 70, 70, 71, and 74.
As there are 15 data points, the median of the upper half would be the value at the 75th percentile, which is the 11th value.
So, the upper quartile is 68 inches.
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