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Answer :
Final answer:
To find the diameter that represents the 53rd percentile, arrange the data in ascending order, calculate the rank of the 53rd percentile, and find the corresponding value.
Explanation:
To find the diameter that represents the 53rd percentile, we need to first arrange the given data in ascending order. The sorted data is as follows: 1.30, 1.32, 1.41, 1.41, 1.47, 1.49, 1.51, 1.56, 1.59, 1.59, 1.61, 1.64, 1.64, 1.68.
The 53rd percentile means that 53% of the data is below the specific value. To find the specific value, we need to calculate the rank of the 53rd percentile. Since (53/100) * 14 = 7.42, we round up to 8.
Therefore, the 8th value in the sorted data, which is 1.56, represents the 53rd percentile.
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