Question

The serum cholesterol levels (in ) of 17 individuals are 201, 220, 189, 206, 218, 198,...

The serum cholesterol levels (in ) of 17 individuals are 201, 220, 189, 206, 218, 198, 235, 186, 242, 208, 213, 232, 230, 191, 257, 203, 247 Find 25 th and 80 th percentiles for these cholesterol levels.

Math   Statistics-And-Probability   
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Answer #1

Solution:
Arranging Observations in the ascending order, We get :
186,189,191,198,201,203,206,208,213,218,220,230,232,235,242,247,257

Here, n=17

P25=(25(n+1)100)th value of the observation

=(25⋅18/100)th value of the observation

=(4.5)th value of the observation

=4th observation +0.5[5th-4th]

=198+0.5[201-198]

=198+0.5(3)

=198+1.5

=199.5

25 th percentiles = 199.5

P80=(80(n+1)100)th value of the observation

=(80⋅18/100)th value of the observation

=(14.4)th value of the observation

=14th observation +0.4[15th-14th]

=235+0.4[242-235]

=235+0.4(7)

=235+2.8

=237.8

80 th percentiles = 237.8

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