Question

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 from the mean correctly to find the values 96 and 174. Then he used the 68−95−99.7 rule to determine that approximately 99.7% of the data is in that range.

C. Marrion should have calculated at least three standard deviations from the mean instead of only two standard deviations from the mean.

D. The data does not appear to be normally distributed, so Marrion can’t use the 68−95−99.7 rule. When a median is so different from the mean, it’s likely that the data is not normally distributed.

Answer #1

given that mean = 135, median= 137 and standard deviation = 13

using empirical rule, we know that 99.7% of data values fall within 3 standard deviation from the mean

this gives us

mean - 3*sd = 135 - 3*13 = 135 - 39 = 96

and

mean + 3*sd = 135 + 3*13 = 135 + 39 = 174

So, it is clear that the calculation done by Marrion is correct

therefore, only opion B is correct

option A is incorrect because we never calculate the data using median

option C is incorrect because 96 and 174 are not 2 standard deviations from the mean

option D is incorrect because we can assume that the data is normally distributed

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 set of exam scores is normally distributed with a mean = 80
and standard deviation = 10.
Use the Empirical Rule to complete the following
sentences.
68% of the scores are between _____ and ______.
95% of the scores are between ______ and _______.
99.7% of the scores are between _______ and ________.
Get help: Video

Suppose a normally distributed set of data with 2100
observations has a mean of 130 and a standard deviation of 19. Use
the 68-95-99.7 Rule to determine the number of observations in the
data set expected to be above a value of 111. Round your answer to
the nearest whole value.

Suppose a normally distributed set of data with 8000
observations has a mean of 167 and a standard deviation of 11. Use
the 68-95-99.7 Rule to determine the number of observations in the
data set expected to be above a value of 145. Round your answer to
the nearest whole value.

*Data Set Listed Below*
Use the sample mean and standard deviation to find the values
related to the Empirical Rule.
The Empirical
Rule: For a set of data whose distribution is approximately
normal,
about 68% of the data are within one standard deviation of the
mean.
about 95% of the data are within two standard deviations of the
mean.
about 99.7% of the data are within three standard deviations of
the mean.
Use the value of n and the...

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%

1) a) Find the mean, median, and standard deviation of the data
set.
b) Create an appropriate graphical display (s) and describe the
shape of the distribution. You do not have to attach the
displays.
2) Test whether the mean pulse rate of general public is greater
than 70 at 5% significance level;
Write the following:
a) Null and alternative hypotheses
b) Value of the test statistic
c) p-value
d) Conclusion. Do you have evidence to believe the mean pulse...

Intelligence quotients (IQs) are normally distributed with a
mean of 100 and standard deviation of 15. Use the 68-95-99.7 Rule
to determine the percentage of people with IQ below 70.
Group of answer choices
a. 95%
b. 2.5%
c. 68%
d. 5%

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

Assume that a set of test scores is normally distributed with a
mean of 80 and a standard deviation of 25. Use the 68-95-99.7 rule
to find the following quantities.
c. The percentage of scores between 30 and 105 is %.?
(Round to one decimal place as needed.)

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 10 minutes ago

asked 19 minutes ago

asked 23 minutes ago

asked 23 minutes ago

asked 25 minutes ago

asked 28 minutes ago

asked 31 minutes ago

asked 32 minutes ago

asked 52 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago