Question

The median is the middle value for an even number of values. true or false

Answer #1

Answer is false.

Median is the “middle” number of a sorted list of numbers. It is that observation in a set of sorted observations that divides the observations into 2 equal parts.

For example, in case of odd number of observations: 2,5,9,17,20

The observations are all sorted. The middle observation is 9, which divides the list of observation into 2 buckets, one bucket with values <9 and other with values > 9.

In case of even numbers: 2,5,9,17,20,25 however, there are 2 middle numbers. Hence median is average of the two middle values = (9 + 17)/2 = 13.

Hence, for even number of observations, median is not the middle number, but the average of 2 middle numbers.

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...

Which of the following is true for a median?
A median is only meaningful for interval or ordinal data and not
for ratio data.
Median can be calculated no matter how the data is arranged.
Medians are affected by outliers.
For an even number of observations, the median is the mean of
the two middle numbers.

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 ...

Discrete Random Variables have either a finite or countable
number of values.
True
False
An example of continuous variables is bushels of wheat per
acre.
True
False
The Mean Value of a discrete probability distribution (denoted
by mu is a weighted average of the x-values AND represents the
average values of all possible outcomes.
True
False
Explain why in a binomial probability distribution, p + q =1.
Make one sentence work.

def is_even(value: int) -> bool:
"""Return True if and only if value is an even number.
>>> is_even(108)
True
>>> is_even(135)
False
"""
def convert_time(hour: int) -> int:
"""Return the given time in hours hour from the 24 hour clock
to
a time in hours for the 12 hour clock.
Precondition: 0 <= hour <= 23
>>> convert_time(0)
12
>>> convert_time(4)
4
>>> convert_time(15)
3
"""

Which of the following statements about the median is
correct?
a. It is a measure of center that divides an ordered array of
data into two halves.
b. If data are arranged in ascending order from smallest to
largest, all the observations below the median are smaller than or
equal to it, while all the observations above the median are equal
to it or larger.
c. If the total number of observations is odd, the median is the
middle observation...

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...

1.1. The _______ is the middle value in the data set, that is
the value at the point where exactly half of the values are above
it and half are below it.
1) Arithmetic Mean
2) Mode
3) Median
4) Geometric Mean

True or false:
A. Assume that the median salaries of physicians and teachers in
the city of Lima, Peru in 2016 were $ 62,000 and $ 33,000,
respectively. It is also known that the standard deviation of their
income is $ 7,200 and $ 1,200, respectively. Would you say that the
relative variability of income for doctors is 6 times greater than
that of income for teachers?
B. The interquartile range of a data set only
considers the maximum and minimum...

True or False: By changing the value of one score in a sample
this will necessarily cause the median to change.
Please explain answer, thank you.

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