Find the values of the 30th and 90th percentiles of the data. 129, 113, 200, 100, 105, 132, 100, 176, 146, 152

Solution:

Given data: 129, 113, 200, 100, 105, 132, 100, 176, 146, 152

Arrange the data in order from highest to lowest

200

176

152

146

132

129

113

105

100

100

The 90th percentile is the value that beats the lower 90% of the data.

There are 10 values, and 90% of 10 is 9, so 200 is the value that beats the lower 90% of the data, so 200 is the 90th percentile value.

And 30% of 10 is 3, so 105 is the value that beats 30% of the data so 105 is 30th percentile

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Find the values of the 30th and 90th percentiles of the data. 129, 113, 200, 100, 105, 132, 100, 176, 146, 152

Summary:

200 is the 90th percentile value and 105 is the 30th percentile value.