A researcher who studies mental health is interested in the length of time (in days) that a patient stays in the hospital after they have presented to emergency having suicidal ideation. The researcher follows the first 30 patients during the month of January and follows them until each one of them is released. I have attached the histogram of the data obtained from the 30 patients and have a number of questions.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.5: Properties Of Logarithms
Problem 40E
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A researcher who studies mental health is interested in the length of time (in days) that a patient stays in the hospital after they have presented to emergency having suicidal ideation. The researcher follows the first 30 patients during the month of January and follows them until each one of them is released. I have attached the histogram of the data obtained from the 30 patients and have a number of questions.

I did all my calculations as though this was continous data but I became confused along the way. 
a. Construct a frequency table. (I included x as the number of days, f as the frequency and fx by multiplying the days and frequncy. Was this correct?
b. Calculate all measures of central tendency (mode, median and mean) (For the mean I took the sum of fx and devided it by n (349/30) but I doubted this was accuarte)
c. Calculate all measures of variability (range, variance and standard deviation) (the answer to my range was 15 as I took the highest number from x and the lowest from x and added 1.)
d. What is the shape of this distribution? (Am I right in saying this is positively skewed)
e. Given the shape and type of data, which measure of central tendency would you be more likely to report? Why? 

Length of stay in the Hospital
6
5
4
3
1
6 7 8 9
10
11
12
13
14
15
16
17
18
19 20
Length of stay (Days)
Frequency
2.
Transcribed Image Text:Length of stay in the Hospital 6 5 4 3 1 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 Length of stay (Days) Frequency 2.
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