The weight that represents the 62nd percentile is approximately 8.6.
To find the weight that represents the 62nd percentile, you can follow these steps:
Sort the data in ascending order:
6.2, 6.3, 6.5, 6.9, 7.0, 7.5, 7.8, 7.8, 7.8, 8.6, 8.6, 8.9, 9.0, 9.1
Calculate the rank (R) of the percentile:
The formula for calculating rank is given by:
R = (percentile / 100) * (n + 1)
where n is the number of data points.
In this case, n = 14 and percentile = 62.
R = (62 / 100) * (14 + 1) = 8.82
Since the rank should be a whole number, round up to the nearest integer.
Therefore, the rank is 9.
Identify the value at the 9th position:
The 9th value in the sorted data is 8.6.
So, the weight that represents the 62nd percentile is approximately 8.6.