Find the values of the 30th and 90th percentiles of the data

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

A. 30th percentile = 105; 90th percentile = 200

B. 30th percentile = 113; 90th percentile = 200

C. 30th percentile = 105; 90th percentile = 176

D. 30th percentile = 113; 90th percentile = 176

put them in increasing order

100, 100, 105, 113, 129, 132, 146, 152, 176, 200

Use the formula = n*(p/100)

p = percentile

n = total size of data = 10

for 30th percentile:

= 10*(30/100) = 3

3rd number = 105

for 90th percentile:

= 10*(90/100) = 9

9th number = 176

Correct option is C.