Calculate the 20th 50th and 80th percentiles for the followi
Calculate the 20th, 50th, and 80th percentiles for the following data set (Round your answers to 1 decimal place.) 127 160 136 280 208 155 252
Solution
The given number is ordered from least to greatest :-127,136,155,160,208,252,280
The total number of values is 7
Now the 20th percentile is 20% of 7 =.2*7=1.4
Rounding to the nearest number it is 1
Therefore the 20th percentile is number 127
b)50th percentile is the middle number =.5*7=3.5 or rounding to the nearest integer it is 4 which is equal to 160
c)80th percentile=.8*7=5.6 on rounding we get 6.Thus the 6th number from left to right is 252
Answer is 20th percentile =127
50th percentile =160
80th percentile =252
