Question

Why is the median? resistant, but the mean is? not? Choose the correct answer below. A. The mean is not resistant because it is dependent upon the sample? size, n. The larger n? is, the smaller the mean becomes.? However, the median is resistant because it is not dependent on the sample? size, n. B. The mean is not resistant because when data are? skewed, there are extreme values in the? tail, which tend to pull the mean in the direction of the tail. The median is resistant because the median of a variable is the value that lies in the middle of the data when arranged in ascending order and does not depend on the extreme values of the data. C. The median is? resistant, while the mean is? not, because when there are extreme values in the? tail, the value of the median changes while the mean does not. D. The mean is not resistant because when data are? skewed, there are extreme values in the? tail, which do not pull the mean in that direction.? However, the median is pulled in the direction of the extreme? values, making it resistant.

Answer #1

The mean uses all data values while median is middle value. Mean is most affected by extreme values while on median, these extreme values have low or no effect. Therefore, correct option is:

B. The mean is not resistant because when data are skewed, there are extreme values in the tail, which tend to pull the mean in the direction of the tail. The median is resistant because the median of a variable is the value that lies in the middle of the data when arranged in ascending order and does not depend on the extreme values of the data.

Because the mean is very sensitive to extreme values, it is not
a resistant measure of center. By deleting some low values and
high values, the trimmed mean is more resistant. To find the 10%
trimmed mean for a data set, first arrange the data in order,
then delete the bottom 10% of the values and delete the top 10%
of the values, then calculate the mean of the remaining values.
Use the axial loads (pounds) of aluminum cans listed...

1. Which of the following statements is correct?
a. The median can be strongly influenced by just one or two
very low or high values.
b. The mode gives equal consideration to even very extreme
values in the data.
c. There will be just one value for the mean, median , and mode
in the data set.
d. The mean is able to make the most complete use of the data
when compared to the median and mode.
e. None...

Emissions of sulfur dioxide by industry set off chemical changes
in the atmosphere that result in "acid rain." The acidity of
liquids is measured by pH on a scale of 0 to 14. Distilled water
has pH 7.0, and lower pH values indicate acidity. Normal rain is
somewhat acidic, so acid rain is sometimes defined as rainfall with
a pH below 5.0.
A sample of 105 rainwater specimens had mean pH 5.43; standard
deviation 0.54; and five‑number summary 4.33, 5.05,...

Answer True or False for each of the following. If your answer
is FALSE, provide an example that proves your point. If your answer
is true, explain. Given a typical set of numerical data with an ODD
number of values.
1. The mean is always one of the data values.
2. The median is always one of the data values
3. The mode is always one of the data values.
4. The range measures the variability of the given data...

Chapter 3
7. The income distribution is skewed to the right; therefore, the
Median Income must be greater than the Mean Income.
8. The sample standard deviation formula does Not make it an
unbiased estimator.
9. The mean is said to be less resistant to extreme values.
Chapter 5
10. The probability of an event is a value which must be greater
than 0 and less than 1.
11. Two events are independent if the probability of one event
is...

In this problem, we explore the effect on the mean, median, and
mode of multiplying each data value by the same number. Consider
the following data set. 4, 4, 5, 8, 12 (a) Compute the mode,
median, and mean. mode Correct: Your answer is correct. median
Correct: Your answer is correct. mean Correct: Your answer is
correct. (b) Multiply each data value by 8. Compute the mode,
median, and mean. mode median mean (c) Compare the results of parts
(a)...

Encircle the letter that corresponds to your answer:
1. When one analyses data based on a sample, one
calculates a
Parameter b) variable c)
constant d) statistics 2. Mathematical methods used to draw
tentative conclusions about a population based on sample Data are
referred to as
Descriptive statistics b) sample
statistics c) inferential statistics d)
random sampling 3. The mean is ____ sensitive to extreme scores
than the median.
More b)
equally c) less 4. If a distribution
of raw...

The data table below contains the amounts that a sample of nine
customers spent for lunch? (in dollars) at a? fast-food restaurant.
Complete parts? (a) through? (c). Click here to view page 1 of the
table of critical values of t. LOADING... Click here to view page 2
of the table of critical values of t. LOADING... 4.21 4.21 4.99
4.99 5.98 5.98 6.51 6.51 7.43 7.43 7.41 7.41 8.44 8.44 8.43 8.43
10.07 10.07 a. At the 0.10 0.10...

Current Dividend in $
Mean 0.14
Standard Error 0.01
Median 0.12
Mode 0.05
Standard Deviation 0.12
Sample Variance 0.01
Kurtosis 1.19
Skewness 1.28
Range 0.51
Minimum 0.01
Maximum 0.52
Sum 12.07
Count 84
Use the above summary measures to compute a 95% confidence
interval of the mean Dividend of all Companies that pay a
dividend.
How would you interpret this interval?
A reputable financial advisor recently made...

Question 11 options: that scores above the mean are distributed
the same as scores below the mean that extreme scores are possible
in a normal distribution that there are an infinite number of
possible normal distributions that this characteristic has no
practical implication
Question 12 (1 point) In a normal distribution with 3±1 (M±SD),
a researcher can appropriately conclude that about 84.13% of scores
were greater than 2. Question 12 options: True False
Question 13 (1 point) The mean, median,...

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