Straighter Line Statistics Exam|Questions With Correct
Answers|Verified
Here again is the histogram showing the distribution of 50 ages at death due to trauma
(accidents and homicides) that occurred in a certain hospital during a week.
A possible value of the median in this example is: - 33
There are n=50 people in the data and therefore the median is the average of the 25th and
26th ranked observations. Note from the histogram that these two observations fall in the third
age interval (from the left) which is [25, 35). The median must therefore also be an age
between 25 and 35. The only possible answer in that interval is 33.
Here again is the histogram showing the distribution of 50 ages at death due to trauma
(accidents and homicides) that were observed in a certain hospital during a week.
Assume that the largest observation in this dataset is 90. If this observation were wrongly
recorded as 900, then: - The mean will increase, but the median won't change.
The mean will increase, because the mean tends to be pulled by an outlier. So moving the
largest value, 90, farther to the right, to 900, would tend to pull the mean to the right, making it
larger. The median wouldn't be affected, because moving 90 to 900 wouldn't change the 25th
or the 26th value in the data.
Here again is the histogram showing the distribution of 50 ages at death due to trauma
(accidents and homicides) that were observed in a certain hospital during a week.
For the data described by the above histogram, - (B) the median will be smaller than the
mean
Remember that we'd expect the mean and the median to be nearly the same only if the
distribution were nearly symmetric. But notice this distribution is skewed to the right (the tail is
Answers|Verified
Here again is the histogram showing the distribution of 50 ages at death due to trauma
(accidents and homicides) that occurred in a certain hospital during a week.
A possible value of the median in this example is: - 33
There are n=50 people in the data and therefore the median is the average of the 25th and
26th ranked observations. Note from the histogram that these two observations fall in the third
age interval (from the left) which is [25, 35). The median must therefore also be an age
between 25 and 35. The only possible answer in that interval is 33.
Here again is the histogram showing the distribution of 50 ages at death due to trauma
(accidents and homicides) that were observed in a certain hospital during a week.
Assume that the largest observation in this dataset is 90. If this observation were wrongly
recorded as 900, then: - The mean will increase, but the median won't change.
The mean will increase, because the mean tends to be pulled by an outlier. So moving the
largest value, 90, farther to the right, to 900, would tend to pull the mean to the right, making it
larger. The median wouldn't be affected, because moving 90 to 900 wouldn't change the 25th
or the 26th value in the data.
Here again is the histogram showing the distribution of 50 ages at death due to trauma
(accidents and homicides) that were observed in a certain hospital during a week.
For the data described by the above histogram, - (B) the median will be smaller than the
mean
Remember that we'd expect the mean and the median to be nearly the same only if the
distribution were nearly symmetric. But notice this distribution is skewed to the right (the tail is
