Question

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 and 70

Please show all work and list formulas used! Will give thumbs up

Thank you!!!!

Answer #1

Data set 1: 71, 61, 50, 60
Data set 2: 76, 68, 48, 57
Find the standard deviation of the differences between these two
data sets.
Please show all work and I'll give you a thumbs up! Thanks

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 %

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.

For a normal distribution with a mean of u = 60 and a standard
deviation of o = 10,
find the proportion of the population corresponding to each of
the following.
a. Scores greater than 65.
b. Scores less than 68.
c. Scores between 50 and 70.

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.

the mean of a set of Data containg 60 entries is 38 and the
standard devationis 5.
a)what precent of the data should be at least between 33 and
48?
b)what precent of the data should be at least 28?
c)how many data points should be less then 33?
d)how many data points should be between 38 and 48?

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%

A set of data is normally distributed with a mean of 44 and a
standard deviation of 3.2. Which of the following statements are
NOT true? [Please make sure to explain why]
I. 68% of the values are between 37.6 and 50.4.
II. 13.5% is between 37.6 and 40.8.
III. 5% of the values are lower than 37.6 or higher than
50.4

A symmetric, bell-shaped data set has a mean of 25, a standard
deviation of 1.7 and a sample size of 500. Find the following:
(Round appropriately)
a.) The number of data points less
than 22: ____________
b.) The number of data points
between 23 and 27: ____________
c.) The number of data points
greater than 28: ____________

1) X is normally distributed with a mean of 60 and a standard
deviation of 12.
a) Find the probability that X is less than 42
b) Find the probability that X is more than 70.
2) Weights of Yellow Labradors are normally distributed with
a mean of 55 pounds and a standard
deviation of 6.2 pounds. What proportion of Yellow Labradors
weigh between 50 and 60 pounds?

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