Math

1.  Consider a sample with data values of 26, 24, 21, 19, 32, 35, 28, and 24. Compute the , , , and  percentiles (to  decimal, if decimals are necessary).

20th percentile ________

25th percentile ________

65th percentile ________

75th percentile ________

2.  Consider a sample with a mean of  and a standard deviation of . Use Chebyshev's theorem to determine the percentage of the data within each of the following ranges (to the nearest whole number).

a.  30 to 50 , at least _________%

b.  15 to 65 , at least _________%

c.  31 to 49 , at least  _________%

d. 28  to 52, at least  _________%

e. 24  to 56, at least  _________%