Consider a sample with data values of 27, 24, 22, 15, 31, 35, 28, and 24. Compute the 20th, 25th, 65th, and 75th percentiles (to 1 decimal, if decimals are necessary).

Answer 1

There are different rules, ways and means to extrapolate between stats.

Sorted: N=8 stats

15

22

24

24

27

28

31

35

20th percentile: 20% of 8 = 1.6;

so it's between the 1st and 2nd stat.

throws away the whole number leaving just 0.6

(22-15)*0.6 = 7*0.6 = 4.2

15+4.2 = 19.2

25th percentile: 25% of 8 = 2;

the 2nd stat is 22

65th percentile..

0.65 * 8 = 5.2 so it's between 24 and 27.

throws away the whole number leaving 0.2

(27-24)* .2 = 3*0.2 = 0.6

so 24.6

75th percentile.

0.75 * 8 = 6

which is 28