Consider a sample with
a mean of 60 and a standard deviation of 4. Use Chebyshev's...
Consider a sample with
a mean of 60 and a standard deviation of 4. Use Chebyshev's theorem
to determine the percentage of the data within each of the
following ranges (to the nearest whole number).
40 to 80, at least %
45 to 75, at least %
52 to 68, at least %
47 to 73, at least %
44 to 76, at least %
Consider a sample with a mean of 30 and a standard deviation of
6. Use Chebyshev's...
Consider a sample with a mean of 30 and a standard deviation of
6. Use Chebyshev's theorem to determine the percentage of the data
within each of the following ranges(to the nearest whole
number).
a) 10 to 50, at least ____%
b)15 to 45, at least ___%
c) 22 to 38, at least ___%
d) 17 to 43, at least ___%
e) 14 to 46, at least ___%
Consider a sample with
a mean of 60 and a standard deviation of 6. Use Chebyshev's...
Consider a sample with
a mean of 60 and a standard deviation of 6. Use Chebyshev's theorem
to determine the percentage of the data within each of the
following ranges (to the nearest whole number).
50 to 70, at least
%
45 to 75, at least
%
52 to 68, at least
%
47 to 73, at least
%
44 to 76, at least %
Consider a sample with data values of 27, 25, 23, 16, 30, 33,
28, and 25....
Consider a sample with data values of 27, 25, 23, 16, 30, 33,
28, and 25. Compute the 20th ,25th ,65th ,75th percentiles (to 2
decimal, if decimals are necessary).
20th percentile
25th percentile
65th percentile
75th percentile
Consider a sample with data values of 26, 25, 23, 15, 30, 36,
29, and 25. Compute the range, interquartile range, variance, and
standard deviation (Round to 2 decimals, if necessary).
Range
Interquartile range
Variance
Standard deviation
Consider a sample with a...
We have seen that the standard deviation σ measures the spread
of a data set about...
We have seen that the standard deviation σ measures the spread
of a data set about the mean μ. Chebyshev's inequality
gives an estimate of how well the standard deviation measures that
spread. One consequence of this inequality is that for every data
set at least 75% of the data points lie within two standard
deviations of the mean, that is, between μ − 2σ and μ + 2σ
(inclusive). For example, if μ = 20 and σ = 5,...
Given a group of data with mean 40 and standard deviation 5, at
least what percent...
Given a group of data with mean 40 and standard deviation 5, at
least what percent of data will fall between 15 and 45? Use
Chebyshev's theorem. If you use 15 as the lower range limit, then
you get k=5, and then the percent of data between 15 - 40 is
(1-1/5^2)/2. If you use 45 as the upper range limit, then k=1. How
to find the percent of data between 40 - 45?