Descriptives Homework
Save this on your computer as a Word document. Answer the
questions, save your work and then email your work to me as an attachment, send
via Canvas, or scan your work in as a pdf attachment. If you do write your work
out and scan it in, be sure that your work is legible,
rightside up and in order! Be sure to show
your work. If I just have an answer but do not see any calculations, I can’t
tell how you came to your outcome and I can’t provide feedback and support in
case your outcome is wrong. Since the assignment is in Word format, you have
the option to add extra space if you need it to include your calculations.
When computing standard deviation, each question will
alert you as to whether you should use the sample computational standard
deviation formula or the population computational standard deviation
formula. Review your notes on the differences between the sample and population
standard deviation. To help with the organization of your data and formula, I
have provided for you tables for you to place your X value and X2,
which you will need to calculate the formula. It is not necessary to organize
your data on the table from lowest to highest, but you can do this to help in
your data organization and evaluation.
To help provide you with the standard deviation key, I
have listed below the formulas for both sample and population standard
deviation computational formula:
Population standard deviation formula:
σ = ΣX2 – (ΣX)2
_ __N__
N
Sample standard deviation formula:
s = Σx2 – (Σx)2
n __
n  1
SHOW THE WORK FOR ALL
QUESTIONS REQUIRING MATH and FORMULAS!!
1.
The
Newport Health Clinic experiments with two different configurations for serving
patients. In one configuration, all patients enter a single waiting line that
feeds three different physicians. In another configuration, patients wait in
individual lines at three different physician stations. Waiting times (in
minutes) are recorded for ten patients from each configuration.
Single line: 65, 66, 67, 68, 71, 73, 74, 77, 77, 77
a.
What
is the “n” value for this data set?
b.
What is the mean for this data set?
c.
What is the median for this data set?
d.
What is the mode for this data set?
e.
What is the standard deviation for this data set? For this
example, you will use the sample
data computational formula.
X 
X2 




















∑X = (∑X)2 = 
∑X2 = 
Show your SD formula work below:
Multiple lines: 42, 54, 58, 62, 67, 77, 77,
85, 93, 100
f.
What
is the “n” value for this data set?
g.
What is the mean for this data set?
h.
What is the median for this data set?
i.
What is the mode for this data set?
j.
What is the standard deviation for this data set (Remember
to use the sample
computational formula.)
X 
X2 




















∑X = (∑X)2 = 
∑X2 = 
Show your SD formula work below:
2.
Based on the data that you have just calculated, which wait
time is the most efficient with the least wait time between the single line vs.
multiple lines?
X f X f
25
1 18 0
24
1
17 0
23
1
16 1