Question
In: Statistics and Probability
In this problem, we explore the effect on the mean, median, and mode of multiplying each...
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 | |
| median | |
| mean |
(b) Multiply each data value by 6. Compute the mode, median, and
mean.
| mode | |
| median | |
| mean |
(c) Compare the results of parts (a) and (b). In general, how do
you think the mode, median, and mean are affected when each data
value in a set is multiplied by the same constant?
Multiplying each data value by the same constant c results in the mode, median, and mean increasing by a factor of c.Multiplying each data value by the same constant c results in the mode, median, and mean remaining the same. Multiplying each data value by the same constant c results in the mode, median, and mean decreasing by a factor of c.There is no distinct pattern when each data value is multiplied by the same constant.
(d) Suppose you have information about average heights of a random
sample of airline passengers. The mode is 68inches, the median is
70 inches, and the mean is 70 inches. To convert the data into
centimeters, multiply each data value by 2.54. What are the values
of the mode, median, and mean in centimeters? (Enter your answers
to two decimal places.)
| mode | cm |
| median | cm |
| mean | cm |
Solutions
orchestra answered 2 years agoRelated Solutions
Study Guide #9 In this problem, we explore the effect on the mean, median, and mode...
Study Guide #9
In this problem, we explore the effect on the mean, median, and
mode of adding the same number to each data value. Consider the
data set 4, 4, 5, 8, 12.
(a) Compute the mode, median, and mean. (Enter your answers to
one decimal place.)
mode
median
mean
(b) Add 5 to each of the data values. Compute the mode, median, and
mean. (Enter your answers to one decimal place.)
mode
median
mean
(c) Compare the results...
In this problem, we explore the effect on the standard deviation of multiplying each data value...
In this problem, we explore the effect on the standard deviation
of multiplying each data value in a data set by the same constant.
Consider the data set 8, 7, 16, 8, 16.
(a) Use the defining formula, the computation formula, or a
calculator to compute s. (Round your answer to one decimal
place.)
s =
(b) Multiply each data value by 2 to obtain the new data set 16,
14, 32, 16, 32. Compute s. (Round your answer to...
In this problem, we explore the effect on the standard deviation of multiplying each data value...
In this problem, we explore the effect on the standard deviation
of multiplying each data value in a data set by the same constant.
Consider the data set 4, 11, 11, 11, 7.
(a) Use the defining formula, the computation formula, or a
calculator to compute s. (Round your answer to one decimal
place.)
s =
(b) Multiply each data value by 2 to obtain the new data set 8, 22,
22, 22, 14. Compute s. (Round your answer to...
In this problem, we explore the effect on the standard deviation of multiplying each data value...
In this problem, we explore the effect on the standard deviation
of multiplying each data value in a data set by the same constant.
Consider the data set 14, 16, 13, 7, 8.
(a) Use the defining formula, the computation formula, or a
calculator to compute s. (Round your answer to one decimal
place.)
s =
(b) Multiply each data value by 7 to obtain the new data set 98,
112, 91, 49, 56. Compute s. (Round your answer to...
In this problem, we explore the effect on the standard deviation of multiplying each data value...
In this problem, we explore the effect on the standard deviation
of multiplying each data value in a data set by the same constant.
Consider the data set 11, 9, 4, 6, 6. (a) Use the defining formula,
the computation formula, or a calculator to compute s. (Round your
answer to one decimal place.) s = (b) Multiply each data value by 7
to obtain the new data set 77, 63, 28, 42, 42. Compute s. (Round
your answer to...
Mean , Median and Mode
The mean of 8,11,6,14,m and 13 is 11
a) Find the value of m.
b) Find the median and mode of given data set.
Determine the mean, median, and mode for each of the variables. What is the variance for...
Determine the mean, median, and mode for each of the variables.
What is the variance for each set of data for each of the
variables? What is the standard deviation for each of the
variables? What is the probability that each event occurs in each
of the two variables.
Data: Time Stamp with questions with 3 multiple choice
options
Timestamp 1. If given the opportunity would you work from home?
2. Do you consider working from home more of a...
The three main measures of central tendency are the mean, median, and mode. Each of these...
The three main measures of central tendency are the mean,
median, and mode. Each of these could be impacted in different ways
by an outlier that is distant from the other data points. Depending
on the data set that you are describing, you might choose to use
the mean, median, or mode to give a more accurate view of the
data.
Describe a situation where you might have an outlier in a data set.
How will this outlier impact the...
We are going to calculate the mean, median, and mode for two sets of data. Please...
We are going to calculate the mean, median, and mode for two
sets of data. Please show your answer to one decimal place
if necessary.
Here is the first data set.
26
53
85
63
59
85
74
75
88
83
20
what is the mean (¯xx¯) of this data set?
What is the median of this data set?
What is the mode of this data set?
Here is the second data set.
85
47
43
48
42
30
71...
We are going to calculate the mean, median, and mode for two sets of data. Please...
We are going to calculate the mean, median, and mode for two
sets of data. Please show your answer to one decimal place
if necessary.
Here is the first data set.
22
76
25
85
28
29
72
22
95
50
23
what is the mean (¯xx¯) of this data set?
What is the median of this data set?
What is the mode of this data set?
Here is the second data set.
30
22
41
38
47
39
79...
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