Question

Which of the following is TRUE? Select one: a. Mode is better than mean to measure the central tendency for categorical data. b. A data group with larger standard deviation has relatively greater variability than another data group with smaller standard deviation. c. Mean is always equal to median. d. Population variance is always equal to sample variance.

Answer #1

**Correct statement is '' Mode is better than mean to
measure central tendency for categorical data''**

Mean is the average value of the data.It is calculated by dividing the total values by number of observation

Mode is the value that occurs the most in the group of the data.

When evaluating the categorical data mode is usually the best measure of central tendency as the central value or average value is difficult to calculate and could not be accurate as the group cannot be distributed into groups easily so mode use to measure the most occured value as central tendency.

Mean and median are not same.Median is the middle value of data set and mean is the average.

Population variance is not always equal to samplea variance.Sample varaiance use n-1 in formula and population variance use n

Which one of the following is always true?
Select one:
a. The coefficient of variation measures variability in a
positively skewed data set relative to the size of the median.
b. None of the suggested answers are correct
c. The coefficient of variation is a measure of relative
dispersion that expresses the standard deviation as a percentage of
the mean, for any data on a ratio scale and an interval scale.
d. The interquartile range is very unique in the...

Problem Set 6:
a) The variance is high if the mean is a good measure for
central tendency.
b) If the covariance of X and Y is close to −1, then there is
a weak negative
relationship between X and Y .
c) The standard deviation of X is always greater than or equal
to the variance
of X.
d) The covariance of X and Y is always smaller than or equal
to the correlation coefficient of X and Y...

Suppose a professor wants to estimate the proportion of UM
students who have a satisfying experience with the e-learning
approach adopted by the school in the current semester. What is the
minimum sample size that he should use if he wants the estimate to
be accurate within ±0.06 with a 90% confidence?
Select one:
a. 267
b. 752
c. 456
d. 188
If P(A) = 0.4 and P(B) = 0.6, which of the following must be
true?
Select one:
a....

1.The median is a measure of central tendency (or
location)?
True
False
2,The mean computed from ungrouped data is a more accurate measure
than the mean computed from grouped data?
True
False
3.The mode for the following values is "0"?...3.4, 4.7, 1.9,
7.6, 6.5.
True
False
4.A distribution of data that is positively skewed is left
skewed?
True
False
5.In a numerical batch of data the value of "Q3" can never be
smaller than the value of "Q1"?
True
False ...

Which of the following measures of central tendency or
variability must (if it exists) be an actual data point.
a) midrange
b)mean
c) mode
d) variance
e) standard
f) deviation
g) median

5.
What measure of central tendency (mean, median, or mode) should you
use if you wish the deviations above the measure to be equal in
size to the deviations below the measure?

Find the mean, median, mode, and midrange of the data, if
possible. Determine which measure of central tendency
best represents the data.
A) Education: The education costs per student
(in thousands of dollars) from a sample of 10 liberal arts
colleges.
22
26
31
18
78
17
14
29
22 24
B) Air Quality: The response of a sample of
1040 people who were asked if the air quality in their community is
better, worse, or the same than it...

Which of the following is not a measure of location?
mean
median
mode
standard deviation

Why do we use standard deviation and not mean to measure the
EEG signal?
Select one:
a. Because the standard deviation is easier to measure.
b. Because the standard deviation is less affected by outliers
than the mean.
c. Because the standard deviation measures variability and
brain signals are more variable than other physiological
signals.
d. Because the standard deviation is a better approximation of
the mean value of any data.

In chapter 3, it was noted that the mean is the most commonly
used measure of central tendency. Partly because variance and
standard deviation are directly related to the mean, these two
values are the most common measures of variability. Explain how
variance and standard deviation are related to the mean.

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