The accompanying histogram shows the lengths of hospital stays (in days) for all female patients admitted to a certain hospital during one year with a primary diagnosis of acute myocardial infarction (heart attack). Complete parts (a) through (c) below. a) From the histogram, determine whether the mean or median is larger. Explain. A.Because the distribution isnearly symmetric,the mean is expected to belargerthan the median. B.Because the distribution isnearly symmetric,the mean is expected to be about the same as the median. C.Because the distribution isskewed to the high end,the mean is expected to belargerthan the median. D.Because the distribution isskewed to the high end,the mean is expected to besmallerthan the median. E.Because the distribution isskewed to the low end,the mean is expected to belargerthan the median. F.Because the distribution isskewed to the low end,the mean is expected to besmallerthan the median.b) Write a few sentences describing this distribution (shape, center, spread, unusual features). Is the histogram uniform, unimodal, bimodal, or multimodal? A.The histogram is multimodal. B.The histogram is uniform. C.The histogram is unimodal. D.The histogram is bimodal.What is the center of the histogram? A.The center of the histogram is day15. B.The center of the histogram is day8. C.The center of the histogram is day 1. D.The center of the histogram is day5.What is the spread of the distribution as defined by the range? The data range fromnothingtonothingdays.(Type whole numbers. Use ascending order.)Describe any unusual features. A.There are many outliers. B.Some of the data values are significantly different from the other data. C.There is a peak at day 1, which may represent patients who did not survive. D.There are no unusual features for this distribution.c) Which summary statistics should be chosen to summarize the center and spread in these data? Why? The▼ meanmedianand▼ standard deviationIQRshould be chosen because▼ the distribution is skewed.the distribution is nearly symmetric.the data are quantitative.the data are categorical. Lengths of Hospital Stays600-Q400-200-51015Stay (days)PrintDone# of Female Patients

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Description: The accompanying histogram shows the lengths of hospital stays (in days) for all female patients admitted to a certain hospital during one year with a primary diagnosis of acute myocardial infarction (heart attack). Complete parts (a) through (c)

Answered: Q 600- 400- 200- 10 15 Stay (days) # of…

MATLAB: An Introduction with Applications

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ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

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The accompanying histogram shows the lengths of hospital stays (in days) for all female patients admitted to a certain hospital during one year with a primary diagnosis of acute myocardial infarction (heart attack). Complete parts (a) through (c) below.

a) From the histogram, determine whether the mean or median is larger. Explain.

Because the distribution is

nearly symmetric,

the mean is expected to be

larger

than the median.

Because the distribution is

nearly symmetric,

the mean is expected to be about the same as the median.

Because the distribution is

skewed to the high end,

the mean is expected to be

larger

than the median.

Because the distribution is

skewed to the high end,

the mean is expected to be

smaller

than the median.

Because the distribution is

skewed to the low end,

the mean is expected to be

larger

than the median.

Because the distribution is

skewed to the low end,

the mean is expected to be

smaller

than the median.

b) Write a few sentences describing this distribution (shape, center, spread, unusual features).

Is the histogram uniform, unimodal, bimodal, or multimodal?

The histogram is multimodal.

The histogram is uniform.

The histogram is unimodal.

The histogram is bimodal.

What is the center of the histogram?

The center of the histogram is day

15.

The center of the histogram is day

The center of the histogram is day 1.

The center of the histogram is day

What is the spread of the distribution as defined by the range?

The data range from

nothing

days.

(Type whole numbers. Use ascending order.)

Describe any unusual features.

There are many outliers.

Some of the data values are significantly different from the other data.

There is a peak at day 1, which may represent patients who did not survive.

There are no unusual features for this distribution.

c) Which summary statistics should be chosen to summarize the center and spread in these data? Why?

The

▼

mean

median

and

▼

standard deviation

IQR

should be chosen because

▼

the distribution is skewed.

the distribution is nearly symmetric.

the data are quantitative.

the data are categorical.

Lengths of Hospital Stays
600-
Q
400-
200-
5
10
15
Stay (days)
Print
Done
# of Female Patients

Definition Definition Middle value of a data set. The median divides a data set into two halves, and it also called the 50th percentile. The median is much less affected by outliers and skewed data than the mean. If the number of elements in a dataset is odd, then the middlemost element of the data arranged in ascending or descending order is the median. If the number of elements in the dataset is even, the average of the two central elements of the arranged data is the median of the set. For example, if a dataset has five items—12, 13, 21, 27, 31—the median is the third item in ascending order, or 21. If a dataset has six items—12, 13, 21, 27, 31, 33—the median is the average of the third (21) and fourth (27) items. It is calculated as follows: (21 + 27) / 2 = 24.

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Q 600- 400- 200- 10 15 Stay (days) # of Female Patients