Homework 2
Instructions
- Download a printable version of this assignment here. Print it out and record your answers directly in the space provided.
- Write your name and student number on the top of the assignment.
- For problems requiring additional written work, use the allotted work space and/or margins of the page.
- Once you’re done with a problem, reflect on how you well-equipped you felt answering that particular problem using the confidence level assessment shown below.
- Turn in your assignment in class on the due date.
Questions
Question 1
The following table provides chart data for the patients in a particular hospital ward:
Patient | Room | Physician | Condition | Length of stay |
---|---|---|---|---|
Carter, M. | 202 | Pollock | Critical | 8 days |
Levin, J. | 203 | McClare | Fair | 4 days |
Fox, J. | 203 | Lench | Good | 5 days |
Garcia, L. | 205 | Lench | Fair | 7 days |
Arluke, A. | 201 | Pollock | Serious | 2 days |
Parodi, A. | 203 | McClare | Good | 9 days |
Stark, D. | 204 | Lench | Fair | 5 days |
Chow, F. | 202 | Pollock | Critical | 1 day |
McDevitt, J. | 204 | Loftus | Serious | 2 days |
Name and calculate the most appropriate measure of central tendency and variability for each of the following variables. Feel free to provide a justification for your choice of measure as you see fit.
Room number
Measure of central tendency: _____________________________________
Measure of variability: ____________________________________________
Physician
Measure of central tendency: _____________________________________
Measure of variability: ____________________________________________
Patient condition
Measure of central tendency: _____________________________________
Measure of variability: ____________________________________________
Length of hospital stay
Measure of central tendency: _____________________________________
Measure of variability: ____________________________________________
Question 2
A researcher collected information on the number of text messages sent over an 8-hour period by a group of teenagers and a group of parents. The data collected are as follows:
Case # | Number of Texts |
---|---|
1 | 4 |
2 | 27 |
3 | 10 |
4 | 8 |
5 | 5 |
6 | 4 |
7 | 11 |
8 | 7 |
9 | 9 |
10 | 5 |
Case # | Number of Texts |
---|---|
1 | 0 |
2 | 6 |
3 | 5 |
4 | 2 |
5 | 9 |
6 | 10 |
7 | 7 |
8 | 9 |
9 | 6 |
- Find the mode, median, mean, range, and standard deviation for the number of texts sent by each group (teenagers and parents).
TEENAGERS
MEAN ____________________
MEDIAN ____________________
MODE ____________________
RANGE ____________________
STANDARD
DEVIATION ____________________
PARENTS
MEAN ____________________
MEDIAN ____________________
MODE ____________________
RANGE ____________________
STANDARD
DEVIATION ____________________
- Which group – teenagers or parents – tended to send more texts? Support your answer using statistics you calculated for Part a. [Choose the most useful statistics for making your case].
Answer:
- Which group – teenagers or parents – had the greatest diversity in the number of texts sent? Support your answer using statistics you calculated for Part a. [Choose the most useful statistics for making your case].
Answer:
- What do your calculations indicate about the shape (symmetrical, negatively/left skewed, or positively/right skewed) of the distributions for the two groups?
Answer:
- If you removed the most extreme case (the person with the most text messages) from each of the distributions, would your answers to Parts b and c change?
Answer:
Question 3
A teacher asked a sample of 18 junior high school students how many hours of television they watched during the previous weekend. The results of the survey are summarized in the following frequency distribution.
Hours of TV | Frequency |
---|---|
5 | 3 |
4 | 5 |
3 | 6 |
2 | 2 |
1 | 2 |
0 | 0 |
Calculate the following statistics to describe these data:
MEAN ____________________
MEDIAN ____________________
MODE ____________________
RANGE ____________________
STANDARD DEVIATION ____________________