Question

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 %

Answer #1

**Solution:-**

Mean = 60, S.D = 6

**a) The percentage of the data within the given range is
64%.**

**b) The percentage of the data within the given range is
84%.**

**c) The percentage of the data within the given range is
43%.**

**d) The percentage of the data within the given range is
78%.**

****

**e) The percentage of the data within the given range is
85%.**

****

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 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 40 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).
20 to 60, at least %
15 to 65, at least %
32 to 48, at least %
27 to 53, at least %
22 to 58, at least %

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...

In a certain distribution, the mean is
80
with a standard deviation of
4.
Use Chebyshev's Theorem to tell the probability that a number
lies between
60
and
100

In a certain distribution, the mean is 100 with a standard
deviation of 4. Use Chebyshev's Theorem to tell the probability
that a number lies between 92 and 108
The probability a number lies between
92
and
108
is at least

The following data values represent a sample of
the heights of female college basketball players. SHOW WORK.
Heights in Inches
65 66 66 67 68 68 68 69 69 69 69 70 71
72 72 72 73 75 75 75 75 76 76 76 76
a) Determine (to two decimal places) the mean height and sample
standard deviation of the heights.
b) Determine the z-score of the data value X = 75 to the
nearest hundredth.
c) Using results from...

In a certain distribution, the mean is
60
with a standard deviation of
3
Use Chebysev's Theorem to tell the probability that a number
lies between
45
and
75

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...

According to Chebyshev's Theorem, at least what proportion of
the data will be within 1.7 standard deviation distance about the
mean?
95%
91%
81%
72%
65%
Compute the population variance of the data: 8, 7, 3, 1, 6.
1.437
3.871
5.5
6.8
7.6
In a statistic class, 10 scores were randomly selected with the
following results were obtained: 74, 73, 72, 72, 71, 68, 65, 66,
67, 66. What is the mode?
66.0
72.0
77.0
73.0
None of the above...

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