Question

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 set.

5. The mean is always the best measure of central tendency to use.

These are the answer choices for each question:

False. The range is a value representing the difference between the maximum and minimum value and tells us nothing else about the data set.

False. If there is an outlier or extreme value then the mean will be pulled in the direction of the outlier and not be a good representation of data.

False. The mean is the average of all the values so it is not necessarily a data value.

False. There could be a situation where there is no mode.

True. The range represents the difference between the largest and smallest value so it shows the spread of data, hence variability.

False. The there could two values in the middle and you would have to find the average of the two values and therefore the median would not be a data value.

True. Since the mean is the average of the data values it is always the best value to use when representing the data.

True. If the median is the value in the middle and you are dealing with an ODD number of data values then the median will be the data value in the middle.

True. If there is a mode then it will be one of the data values since it is the data value that shows up the most.

True. The mean is the average of the data values so it must be one of the values

Answer #1

1. The mean is always one of the data values.

**False**

Data: 3, 5, 9

Mean = (3+5+9)/3 = 5.67 which is not in the data values.

2. The median is always one of the data values

**False**

Data: 3, 5, 6, 8

Median = (5+6)/2 = 5.5 which is not in the data values.

3. The mode is always one of the data values.

**False**

Data: 3, 5, 6, 8

There is no mode in the data.

4. The range measures the variability of the given data set.

**True**

5. The mean is always the best measure of central tendency to use.

**False**

Data: Male, Female, Female

The best measure of central tendency to use for this data is the mode.

Please give me a thumbs-up if this helps you out. Thank you!

21) Determine whether each statement is true or false. If the
statement is false, explain why.
explain why.
explain why.
explain why.
a) When the mean is computed for individual data, all values in
the data set are used. b) A single, extremely large value can
affect the median more than the mean. c) One-half of all the data
values will fall above the mode, and one-half will fall below the
mode. d) The range and midrange are both measures...

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It measures the midpoint of two center values.
it measures the difference between two variables of
interest.
It measures the degree of association between variables.
It measures the midpoint of a range.
b. What type of time series data pattern contains a long-term
change in the level of data?
Seasonal
Irregular
Cyclical
Trend
c. Autocorrelation is the evaluation of __________ observations
of a time series of data over time.
successive
consequent
parallel
frequent...

Select True or False from each pull-down menu, depending on
whether the corresponding statement is true or false.
True False
1. In the normal distribution, the
total area beneath the curve represents the probability for all
possible outcomes for a given event.
True False
2. In the normal distribution, the
mean, median, mode, and variance are all at the same position on
the horizontal axis since the distribution is symmetric.
True False
3. In the exponential distribution,
the value of ?x...

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.

Suppose you have access to data from a skewed distribution.
Answer the following true/false questions.
A.) A five-number summary is typically better at representing
the center and spread of the distribution than the mean and
standard deviation.
B.) It is not possible for the standard deviation to be larger
than the median
C.) If we add 100 to every point in our data set the IQR will
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D.) If we...

Decide the best measurement of central tendency for each data
set. Justify your answer.
Area codes:
201 973
973
212
201
609
973 973
201
973
973
212
Best measurement is (underline
one): mean
median
Explain why:
mode
SAT scores:
500 500
520
580
590
600
640 ...

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 ...

Answer each of the following as True or False:
In a linear correlation testing, any positive value for the
linear correlation coefficient (r) statistic always indicates a
positive correlation between the two variables.
The chi-square test for independence is similar to a
correlation in that it evaluates the relationship between two
variables.
It is impossible to obtain a value less than zero for the
chi-square statistic, unless a mistake is made.
In a two-sample t-test, it makes a difference which...

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1) True/False See the Following
A) The Standard Deviation is the square root of the variance
T/F
B)The Interquartile range contains half of the data T/F
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E) The median is a measure of the spread of data T/F
F) If you were listed at the 79th percentile, then this means
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G) The median is a resistant measure of...

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