1. The following histogram shows the distribution of medical expenditures (in U.S. dollars in the year 1987) for participants in the National Medical Expenditures Survey (NMES): Mean: $2,300; Median $588; SD $4,957 0 Medical Expenditures 1987 13,502 Participants in National Medical Expenditure Survey 10000 20000 30000 1987 Medical Expenditures (US Dollars) 40000 a) How would you characterize this distribution (symmetric, right skewed, etc.)? b) Suppose you take a random sample of 100 observations from this "population" of over 13,000 respondents. What shape will the histogram of the sample values likely have? 2. A total of 101 males' serum cholesterol (mmol/L) were collected and recorded as follows, 4.77 3.37 6.14 3.95 3.56 4.23 4.31 4.71 5.69 4.12 4.56 4.37 5.39 6.30 5.21 7.22 5.54 3.93 5.21 6.51 5.18 5.77 4.79 5.12 5.20 5.10 4.70 4.74 3.50 4.69 4.38 4.89 6.25 5.32 4.50 4.63 3.61 4.44 4.43 4.25 4.03 5.85 4.09 3.35 4.08 4.79 5.30 4.97 3.18 3.97 5.16 5.10 5.86 4.79 5.34 4.24 4.32 4.77 6.36 6.38 4.86 5.55 3.04 4.55 3.35 4.87 4.17 5.85 5.16 5.09 4.52 4.38 4.31 4.58 5.72 6.55 4.76 4.61 4.17 4.03 4.47 3.40 3.91 2.70 4.60 4.09 5.96 5.48 4.40 4.55 5.38 3.89 4.60 4.47 3.64 4.34 5.18 6.14 3.24 4.90 3.05 (1) Please create a frequency table to show the distribution. (2) Please visualize the distribution using a histogram. (3) Please calculate the mean and median and then compare. (4) Please calculate the IQR and sample standard deviation. (5) Please calculate the coefficient of variation.

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1. The following histogram shows the distribution of medical expenditures (in U.S.
dollars in the year 1987) for participants in the National Medical Expenditures
Survey (NMES): Mean: $2,300; Median $588; SD $4,957
0
Medical Expenditures 1987
13,502 Participants in National Medical Expenditure Survey
30000
10000
20000
1987 Medical Expenditures (US Dollars)
40000
a)
How would you characterize this distribution (symmetric, right skewed,
etc.)?
b)
Suppose you take a random sample of 100 observations from this
"population" of over 13,000 respondents. What shape will the histogram of
the sample values likely have?
2. A total of 101 males' serum cholesterol (mmol/L) were collected and recorded as
follows,
4.77 3.37 6.14 3.95 3.56 4.23 4.31 4.71 5.69 4.12 4.56 4.37 5.39 6.30 5.21 7.22 5.54
3.93 5.21 6.51 5.18 5.77 4.79 5.12 5.20 5.10 4.70 4.74 3.50 4.69 4.38 4.89 6.25 5.32
4.50 4.63 3.61 4.44 4.43 4.25 4.03 5.85 4.09 3.35 4.08 4.79 5.30 4.97 3.18 3.97 5.16
5.10 5.86 4.79 5.34 4.24 4.32 4.77 6.36 6.38 4.86 5.55 3.04 4.55 3.35 4.87 4.17 5.85
5.16 5.09 4.52 4.38 4.31 4.58 5.72 6.55 4.76 4.61 4.17 4.03 4.47 3.40 3.91 2.70 4.60
4.09 5.96 5.48 4.40 4.55 5.38 3.89 4.60 4.47 3.64 4.34 5.18 6.14 3.24 4.90 3.05
(1) Please create a frequency table to show the distribution.
(2) Please visualize the distribution using a histogram.
(3) Please calculate the mean and median and then compare.
(4) Please calculate the IQR and sample standard deviation.
(5) Please calculate the coefficient of variation.
Transcribed Image Text:1. The following histogram shows the distribution of medical expenditures (in U.S. dollars in the year 1987) for participants in the National Medical Expenditures Survey (NMES): Mean: $2,300; Median $588; SD $4,957 0 Medical Expenditures 1987 13,502 Participants in National Medical Expenditure Survey 30000 10000 20000 1987 Medical Expenditures (US Dollars) 40000 a) How would you characterize this distribution (symmetric, right skewed, etc.)? b) Suppose you take a random sample of 100 observations from this "population" of over 13,000 respondents. What shape will the histogram of the sample values likely have? 2. A total of 101 males' serum cholesterol (mmol/L) were collected and recorded as follows, 4.77 3.37 6.14 3.95 3.56 4.23 4.31 4.71 5.69 4.12 4.56 4.37 5.39 6.30 5.21 7.22 5.54 3.93 5.21 6.51 5.18 5.77 4.79 5.12 5.20 5.10 4.70 4.74 3.50 4.69 4.38 4.89 6.25 5.32 4.50 4.63 3.61 4.44 4.43 4.25 4.03 5.85 4.09 3.35 4.08 4.79 5.30 4.97 3.18 3.97 5.16 5.10 5.86 4.79 5.34 4.24 4.32 4.77 6.36 6.38 4.86 5.55 3.04 4.55 3.35 4.87 4.17 5.85 5.16 5.09 4.52 4.38 4.31 4.58 5.72 6.55 4.76 4.61 4.17 4.03 4.47 3.40 3.91 2.70 4.60 4.09 5.96 5.48 4.40 4.55 5.38 3.89 4.60 4.47 3.64 4.34 5.18 6.14 3.24 4.90 3.05 (1) Please create a frequency table to show the distribution. (2) Please visualize the distribution using a histogram. (3) Please calculate the mean and median and then compare. (4) Please calculate the IQR and sample standard deviation. (5) Please calculate the coefficient of variation.
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