Given the following data, find the weight that represents the 47th percentile.
Weights of Newborn Babies
7.4 8.8 7.7 6.8 7.8
8.1 9.0 6.0 6.0 7.1
8.0 5.7 5.5 5.4 7.0
To find the weight that represents the 47th percentile, we need to first sort the weights in ascending order:
5.4, 5.5, 5.7, 6.0, 6.0, 6.8, 7.0, 7.1, 7.4, 7.7, 7.8, 8.0, 8.1, 8.8, 9.0
There are 15 weights in total. To find the weight that represents the 47th percentile, we need to calculate which data point corresponds to the 47th percentile.
We can estimate:
(47/100) * 15 = 7.05
Thus, the 47th percentile corresponds to the 8th weight in the sorted list:
7.1
Therefore, the weight that represents the 47th percentile is 7.1.