The values of the 30th and 90th percentiles of the data is option (A) 30th percentile = 105; 90th percentile = 200
What is Percentile?
Each of the 100 equal groups into which a population can be divided according to the distribution of values of a particular variable
Given set of data = 129, 113, 200, 100, 105, 132, 100, 176, 146 and 152
Arrange them from low to high
100, 100, 105, 113, 129, 132, 146, 152, 176 and 200
Total number of values = 10
The 90th percentile is the value that beats the lower 90% of the data
There are 10 values therefore 90% of 10 is 9, Therefore 200 is the value that beats other 90% of the data
Therefore 90th percentile is 200
Similarly 30% of 10 is 3, so 105 is the 30th percentile of the data
Hence, The values of the 30th and 90th percentiles of the data is option (A) 30th percentile = 105; 90th percentile = 200
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