Question

**Consider a data set that has a mean of 137.6 and a
standard deviation of 20.12. According to Cheby-**

**shev’s Theorem, give an interval that has at least 95.1%
of the data.**

Answer #1

TOPIC:Chebyshev's theorem.

a normally distributed data set has a mean of 150 and a standard
deviation of 30 determine the probability that randomly selected
x-value between 100 and 175
(2 pt)A normally distributed set of data has a mean of 60 and a
standard deviation of 10 Determine the probability that a randomly
selected x-value is a. at least 45 and b. at most 66.

A data set has a mean of 1500 and a standard deviation of
100.
a. Using Chebyshev's theorem, what percentage of the
observations fall between 1300 and 1700? (Do not round
intermediate calculations. Round your answer to the nearest whole
percent.)
b. Using Chebyshev’s theorem, what percentage of the
observations fall between 1200 and 1800? (Do not round
intermediate calculations. Round your answer to the nearest whole
percent.)

A data set has a mean of 60 and a standard deviation of 5. Which
of the following might possibly be true?
A) At least 15% of the data values are less than 45 or greater than
75.
B) More than 90% of the data values are between 45 and 75
C) No less than 30% of the data values are less than 50 or
greater than 70
D) No more than 50% of the data values are between 50...

A quantitative data set of size 70 has mean 45 And standard
deviation 4. At least how many observations lie between 29 And
61?
At least _______ observations lie between 29 And 61.

1. The mean and standard deviation for a given data set are μ =
100 and σ = 15. By Chebyshev's Theorem, least what percentage of
the data lie between 70 and 130?
2.
Suppose that you roll a die. The set of possible outcomes is S =
{1,2,3,4,5,6}.
Let A = {3,4,5,6} (rolling a 3 to 6). Let B = {1,3,5} (rolling
an odd number). What is P(A|B)?
3. There are 18 books along a shelf. You choose 2...

Suppose a normally distributed set of data has a mean of 193 and
a standard deviation of 13. Use the 68-95-99.7 Rule to determine
the percent of scores in the data set expected to be below a score
of 219. Give your answer as a percent and includeas many decimal
places as the 68-95-99.7 rule dictates. (For example, enter 99.7
instead of 0.997.)

A data set has a mean of 135, a median of 137, and a standard
deviation of 13. Marrion concludes that 99.7% of the data in the
set must have values between 96 and 174.
What flaw, if any, is there in Marrion’s reasoning? Pick only
one.
A. Marrion should have calculated three standard deviations from
the median instead of calculating three standard deviations from
the mean.
B. There is no flaw in Marrion’s reasoning. He calculated three
standard deviations...

A set of data is normally distributed with a mean of 54 and a
standard deviation of 2.3. What percentage of scores would lie in
the interval from 51.7 to 58.6?

a data set has a mean of 50 and a standard deviation of 10. if
the distribution is symmetrical then what percent is between
(20,80)?
choices are: 68%, 75%, 95%, 88.89%, 99.7%

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 %

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