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Attached.
Surname 1
Student’s Name
Institutional Affiliation
Instructor
Date
Statistics Assignment
Question 1
The following shows the temperatures (high, low) and weather conditions in a given Sunday for some
selected world cities. For the weather conditions, the following notations are used: c = clear; cl = cloudy;
sh = showers; pc = partly cloudy.
1. Is “condition” an element, variable, or observation?
Observation
2. Provide the observation for Mexico City.
In Mexico City when there is a showers the lowest temperature is 57 while the highest
temperature is 77.
3. Give an example of a quantitative variable.
Temparature data above is an example of quantative variable since they are found within
the form of both continuous and discrete data. For instance, high temperature
(99,92,77,72,88,78)
4. Provide the range for the low temperature.
The range of low temparture is in between 57-78
5. What is the mode for the high temperature?
Surname 2
The mode of high temperature is 77 since its value with highest frequency.
6. Explain why the "lo" is not ordinal.
Ordinal variables always take values that can be logically ranked and ordered, thus these
values can be rank lower or higher. Since low temaparature cannot be ranked as higher and
lower valus, “lo” is not ordinal
Question 2
A student has completed 20 courses in the School of Arts and Sciences. Her grades in the 20 courses are
shown below.
D
D
C
D
A
B
F
A
A
A
C
B
B
C
C
D
1. Develop a frequency distribution table for her grades.
Grade
A
B
C
D
F
Frequency
4
3
4
4
1
Cumulative frequency
4
7
11
15
16
2. Create a bar chart for her grades. Remember the importance of good titles and labeled axes.
A bar chart for a student
Surname 3
frequency
Grades
3. All the courses are three credits except for the two that are highlighted. They are science
courses and are worth 5 credits each. Using a weighted mean, calculate the student's grade
point average. A = 4.0; B= 3.0; C= 2.0; D =1.0; F = 0
Total points
A=4*4=16
B=3*2=6
C=4*2=8
D=3*1=3
F=1*0=0
Total pointes= 16+6+8+3+0= 33
Question 3
The number of hours worked per week for a sample of ten students is shown below.
Surname 4
Student
Hours
1
33
2
40
3
15
4
25
5
15
6
30
7
32
8
10
9
15
10
35
1. Determine the mean, median, and mode.
Mean
x=
x1 + x2 + ... + x10
10
x=
33 + 40 + 15 + 25 + 15 + 30 + 32 + 10 + 15 + 35
= 25
10
Median
Arrange in ascending order
10,15,15,15,25,30,32,33,35,40
Take 5th and 6th values since are considered as mid points then divide by 2
(25+30)/2=27.5
Mode
15 is the mode in above data since it is the most repeated value.
2. Explain which of the three values (mean, median, mode) is the best representation of central
tendency in this particular set of data. (This is not an "in general" question it is based on the
data of the assigment.)
Surname 5
The best representative of central of tendency in this particular set of data is mean because
the above type of data can be found as contious or discrete.
3. What is the standard deviation for the number of hours worked? What does standard deviation
tell us?
student
hours
( x − x)
( x − x) 2
1
2
3
4
5
6
7
8
9
10
Total
33
40
15
25
15
30
32
10
15
35
250
8
15
-10
0
-10
5
7
-15
-10
10
64
225
100
0
100
25
49
225
100
100
988
Sd =
(x − x )2
n −1
Sd =
988
= 10.5
9
The standard deviation tell us that there is 10.5 units of dispersion away from the mean.
4. Create a histogram for this data. Discuss whether or not this data is normally
distributed. Justify your answer.
Surname 6
The data above is not normally distributed since the line of symmetric does not lie in the
midst of the histogram. All data is more concentrated at the far away from the midst and
not along the midst.
Question 4
You are given the following information on Events A, B, C, and D.
P(A) = .5
P(B) = .3
P (C) = .20
P(A U D) = .8
P(A ∩ C) = 0.05
Surname 7
P (A │B) = 0.22
P (A ∩ D) = 0.25
...
