In the previous lesson we discussed a measure of location known as the measure of central tendency. There are other measures of location which are useful in describing the distribution of the data set. These measures of location include the maximum, minimum, percentiles, deciles and quartiles. How to compute and interpret these measures are also discussed in this lesson.
In the previous lesson we discussed a measure of location known as the measure of central tendency. There are other measures of location which are useful in describing the distribution of the data set. These measures of location include the maximum, minimum, percentiles, deciles and quartiles. How to compute and interpret these measures are also discussed in this lesson.
Solution to the practice test ch 10 correlation reg ch 11 gof ch12 anovaLong Beach City College
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http://www.youtube.com/onlineteaching
Elementary Statistics Practice Test 5
Module 5
Chapter 10: Correlation and Regression
Chapter 11: Goodness of Fit and Contingency Tables
Chapter 12: Analysis of Variance
Operation “Blue Star” is the only event in the history of Independent India where the state went into war with its own people. Even after about 40 years it is not clear if it was culmination of states anger over people of the region, a political game of power or start of dictatorial chapter in the democratic setup.
The people of Punjab felt alienated from main stream due to denial of their just demands during a long democratic struggle since independence. As it happen all over the word, it led to militant struggle with great loss of lives of military, police and civilian personnel. Killing of Indira Gandhi and massacre of innocent Sikhs in Delhi and other India cities was also associated with this movement.
Safalta Digital marketing institute in Noida, provide complete applications that encompass a huge range of virtual advertising and marketing additives, which includes search engine optimization, virtual communication advertising, pay-per-click on marketing, content material advertising, internet analytics, and greater. These university courses are designed for students who possess a comprehensive understanding of virtual marketing strategies and attributes.Safalta Digital Marketing Institute in Noida is a first choice for young individuals or students who are looking to start their careers in the field of digital advertising. The institute gives specialized courses designed and certification.
for beginners, providing thorough training in areas such as SEO, digital communication marketing, and PPC training in Noida. After finishing the program, students receive the certifications recognised by top different universitie, setting a strong foundation for a successful career in digital marketing.
Solution to the practice test ch 10 correlation reg ch 11 gof ch12 anovaLong Beach City College
Please Subscribe to this Channel for more solutions and lectures
http://www.youtube.com/onlineteaching
Elementary Statistics Practice Test 5
Module 5
Chapter 10: Correlation and Regression
Chapter 11: Goodness of Fit and Contingency Tables
Chapter 12: Analysis of Variance
Operation “Blue Star” is the only event in the history of Independent India where the state went into war with its own people. Even after about 40 years it is not clear if it was culmination of states anger over people of the region, a political game of power or start of dictatorial chapter in the democratic setup.
The people of Punjab felt alienated from main stream due to denial of their just demands during a long democratic struggle since independence. As it happen all over the word, it led to militant struggle with great loss of lives of military, police and civilian personnel. Killing of Indira Gandhi and massacre of innocent Sikhs in Delhi and other India cities was also associated with this movement.
Safalta Digital marketing institute in Noida, provide complete applications that encompass a huge range of virtual advertising and marketing additives, which includes search engine optimization, virtual communication advertising, pay-per-click on marketing, content material advertising, internet analytics, and greater. These university courses are designed for students who possess a comprehensive understanding of virtual marketing strategies and attributes.Safalta Digital Marketing Institute in Noida is a first choice for young individuals or students who are looking to start their careers in the field of digital advertising. The institute gives specialized courses designed and certification.
for beginners, providing thorough training in areas such as SEO, digital communication marketing, and PPC training in Noida. After finishing the program, students receive the certifications recognised by top different universitie, setting a strong foundation for a successful career in digital marketing.
Acetabularia Information For Class 9 .docxvaibhavrinwa19
Acetabularia acetabulum is a single-celled green alga that in its vegetative state is morphologically differentiated into a basal rhizoid and an axially elongated stalk, which bears whorls of branching hairs. The single diploid nucleus resides in the rhizoid.
The French Revolution, which began in 1789, was a period of radical social and political upheaval in France. It marked the decline of absolute monarchies, the rise of secular and democratic republics, and the eventual rise of Napoleon Bonaparte. This revolutionary period is crucial in understanding the transition from feudalism to modernity in Europe.
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A Strategic Approach: GenAI in EducationPeter Windle
Artificial Intelligence (AI) technologies such as Generative AI, Image Generators and Large Language Models have had a dramatic impact on teaching, learning and assessment over the past 18 months. The most immediate threat AI posed was to Academic Integrity with Higher Education Institutes (HEIs) focusing their efforts on combating the use of GenAI in assessment. Guidelines were developed for staff and students, policies put in place too. Innovative educators have forged paths in the use of Generative AI for teaching, learning and assessments leading to pockets of transformation springing up across HEIs, often with little or no top-down guidance, support or direction.
This Gasta posits a strategic approach to integrating AI into HEIs to prepare staff, students and the curriculum for an evolving world and workplace. We will highlight the advantages of working with these technologies beyond the realm of teaching, learning and assessment by considering prompt engineering skills, industry impact, curriculum changes, and the need for staff upskilling. In contrast, not engaging strategically with Generative AI poses risks, including falling behind peers, missed opportunities and failing to ensure our graduates remain employable. The rapid evolution of AI technologies necessitates a proactive and strategic approach if we are to remain relevant.
Embracing GenAI - A Strategic ImperativePeter Windle
Artificial Intelligence (AI) technologies such as Generative AI, Image Generators and Large Language Models have had a dramatic impact on teaching, learning and assessment over the past 18 months. The most immediate threat AI posed was to Academic Integrity with Higher Education Institutes (HEIs) focusing their efforts on combating the use of GenAI in assessment. Guidelines were developed for staff and students, policies put in place too. Innovative educators have forged paths in the use of Generative AI for teaching, learning and assessments leading to pockets of transformation springing up across HEIs, often with little or no top-down guidance, support or direction.
This Gasta posits a strategic approach to integrating AI into HEIs to prepare staff, students and the curriculum for an evolving world and workplace. We will highlight the advantages of working with these technologies beyond the realm of teaching, learning and assessment by considering prompt engineering skills, industry impact, curriculum changes, and the need for staff upskilling. In contrast, not engaging strategically with Generative AI poses risks, including falling behind peers, missed opportunities and failing to ensure our graduates remain employable. The rapid evolution of AI technologies necessitates a proactive and strategic approach if we are to remain relevant.
11. Chinese Zodiac LEGEND
rat ox tiger rabbit dragon snake horse sheep monkey rooster dog pig
Answer the following questions based on the story.
1. Which of the following belongs to the first 50% that arrived earlier than the rest of the group?
A. tiger B. rabbit C. dragon D. all of the above
2. Which of the following belongs to the second 50% that arrived later than the rest of the group?
A. horse B. snake C. dragon D. none of the above
3. Which of the following best represents the median?
A. dragon B. snake C. sheep D. monkey
4. Which of the following belongs to the first 25% that arrived earlier than the rest of the group?
A. tiger B. rabbit C. dragon D. snake
5. How many percent of the animals arrived later than the tiger?
A. 25% B. 50% C. 75% D. 100%
12. MEASURE OF POSITION
It is a measure by which the position of a data is determined through its
value.
Rat ox tiger rabbit dragon snake horse sheep monkey rooster dog pig
A. The tiger belongs to the first 50% or top 50% of the group that arrived earlier than the rest of the
animals.
B. The tiger belongs to the first 25% or top 25% of the group that arrived earlier than the rest of the
animals.
C. The tiger arrived earlier than 75% of the animals.
13. Median is the middlemost value of an arranged
set of data/ distribution.
Example in illustrating a median
•. In a Physical Education class, seven students practiced
shooting the basketball ball from the free throw line for twenty
times. Below is the list of the successful shots done by the seven
students.
9, 3, 5, 6, 8, 10, 11
Find the median of the data set.
14. 9, 3, 5, 6, 8, 10, 11
Solution:
First, let us arrange the values in ascending order:
3, 5, 6, 8, 9, 10, 11
Then, find the middle number.
Since there are 7 values, the middle is the 4th value counting from
either left of right.
3, 5, 6, 8, 9, 10, 11
Therefore, the median is 8.
This means that about 50% of the group has a lower number of
successful shots than 8 and about 50% of the group has a higher
number of successful shots than 8.
15. 3, 5, 6, 8, 9, 10, 11
QUARTILES – are the score points or values which divide a list of ordered numbers into four
equal parts.
– Every distribution has three (3) quartiles
These are the three quartiles denoted as 𝑄1, 𝑄2𝑎𝑛𝑑 𝑄3.
If the data are arranged in ascending order, the second quartile, 𝑄2, is the median of the data set.
This means that 50% of the numbers in the data set lie below 𝑄2.
The first quartile, 𝑄1 is the median of the lower half of the data set. This means that 25% of the
numbers in the data set lie below 𝑄1.
The third quartile, 𝑄3 is the median of the upper half of the data set. This means that 75% of the
numbers in the data set lie below 𝑄3.
16. •This method of illustrating/calculating 𝑄1, 𝑄2 𝑎𝑛𝑑 𝑄3 is called
the Tukey’s Method.
•The quartiles can be interpreted in several ways. For 𝑄1, we can
claim that the pig, dog, and rooster belong to the 25% of the
group that arrived latest in the group.The pig, dog, rooster,
monkey, sheep, horse, snake, dragon, and rabbit belong to the
75% group that arrived later than the rest of the group. Q1, Q2
and Q3 can be interpreted in several ways.
𝑄2
𝑄1 𝑄3
pig dog rooster monkey sheep horse snake dragon rabbit tiger ox rat
17. Activity 2
• Follow the steps to find the different quartile values.
PROBLEM: Eleven students recorded the number of laps of swimming they were able to
do in a twenty-five-meter pool. Below is the number of laps they did.
6, 8, 5, 4, 3, 2, 2, 6, 1, 9, 7
1. Arrange the values in ascending order.
1, 2, 2, 3, 4, 5, 6, 6, 7, 8, 9
2. Identify the median. This is 𝑄2.
𝑄2 = 5
3. Identify the lower half of the values and its median. This is 𝑄1.
𝑄1 = 2
4. Identify the upper half of the values and its median. This is 𝑄3.
𝑄3 = 7
18. Illustrative Examples:
1. The owner of a coffee shop recorded the number of customers who came into his
café each hour in a day. The results were 14, 10, 12, 9, 17, 5, 8, 9, 14, 10 and 11. Find
the lower, middle and upper quartile of the data and interpret results.
Solution:
Arrange in ascending order: 5, 8, 9, 9, 10, 10, 11, 12, 14, 14, 17
Determine 𝑄2.
Take the lower half and determine 𝑄1.
Take the upper half and determine 𝑄3.
Interpretation of results.
𝑄1= 9 25% of the number of customers who came to the café is 9 and below.
𝑄2= 10 50% of the number of customers who came to the café is 10 and below.
𝑄3= 14 75% of the number of customers who came to the café is 14 and below.
19. 2. Alice wanted to compare the fruits with high water to substitute
water to hydrate the body and found the following data. Find
𝑄1, 𝑄2 𝑎𝑛𝑑 𝑄3 then interpret results.
20. Solution:
Data in ascending order: 107, 128, 137, 138, 141, 142, 151, 209
Determine 𝑄2.
138+141
2
=
279
2
= 139.5
Take the lower half and determine 𝑄1.
128+137
2
=
265
2
= 132.5
Take the upper half and determine 𝑄3.
142+151
2
=
293
2
= 146.5
Interpretation of results.
𝑄1= 132.5 25% of the fruits has water content of 132.5 mL and below.
𝑄2= 139.5 50% of the fruits has water content of 139.5 mL and below.
𝑄3= 146.5 75% of the fruits has water content of 146.5 mL and below.
21. 3. Albert has an assignment to ask at random 10 students in their school
about their ages. The data are given in the table below. Determine the
values corresponding to 𝑄1 𝑄2 𝑎𝑛𝑑 𝑄3 then interpret results.
Name Age
Ana 10
Ira 13
Susan 14
Antonette 13
Gladys 15
Tony 11
Lito 14
Christian 13
Michael 15
Dennis 12
22. The following are the test scores of 15
students in a 100-item test. Determine
𝑄1, 𝑄2 , 𝑎𝑛𝑑 𝑄3 𝑜𝑓 𝑡ℎ𝑒 𝑔𝑖𝑣𝑒𝑛 𝑑𝑎𝑡𝑎 𝑠𝑒𝑡.
56, 78, 90, 85, 67, 66, 82, 94, 81, 80, 77,
69, 64, 90, 80
Assessment:
23. Assignment:
•Make a short survey on the number of siblings of
your 12 classmates. Determine the values of
𝑄1, 𝑄2, & 𝑄3 then interpret the results.
24. Mendenhall and Sincich Method
Given a set with n number of
values, first, arrange the data in
ascending order. Next, find the
position of 𝑸𝟏, 𝑳, in the data set:
L = Position of 𝑸𝟏 =
𝟏
𝟒
(𝒏 + 𝟏)
and round UP to the nearest
integer. If L falls halfway
between two integers, ROUND
UP.
Finally, look for the value of the
Lth value in the data set.
To find the position of 𝑸𝟑, 𝒕𝒉𝒆 𝑼,
in the data set, use the formula:
U = Position of 𝑸𝟑 =
𝟑
𝟒
(𝒏 + 𝟏)
and round UP to the nearest
integer. If U falls halfway
between two integers, ROUND
DOWN.
Finally, look for the value of the
Uth value in the data set.
25. Examples:
1. KKD recorded the number of orders
of the different coffee drinks in a day.
CoffeeVariation Number of Orders
Americano 5
Black Coffee 8
Espresso 9
Double Espresso 2
Café Au Lait 10
Latte 5
Macchiato 6
Long Black 7
Cortado 3
A. Arrange the values in ascending
order. 2, 3, 5, 5, 6, 7, 8, 9, 10
B. Locate the position of 𝑸𝟏 using
the formula ¼ (n+1) and ROUND UP
to the nearest integer.
L = position of 𝑸𝟏 = ¼ (9+1) = ¼ (10)
= 2.5
= 3 (rounded up)
= 3rd data
Therefore, 𝑸𝟏= 5
26. C. Locate the position of 𝑸𝟑
using the formula ¾ (n+1)
and round up to the nearest
integer.
U = position of 𝑸𝟑 =
𝟑
𝟒
(9+1) = ¾ (10)
= 7.5
= 7 (rounded down)
= 7th data
Therefore, 𝑸𝟑= 8
2. Albert has an assignment to ask
at random 10 students in their
school about their ages. The data
are given in the table below.
Determine the values corresponding
to 𝑄1, 𝑄2 𝑎𝑛𝑑 𝑄3.
27. Data in ascending order: 10, 11, 12, 13, 13, 13, 14,
14, 15, 15
L=position of 𝑸𝟏 =¼ (10+1) = ¼(11)
= 2.75
= 3
= 3rd data
Therefore, 𝑸𝟏= 12
U=position of 𝑸𝟑 =
𝟑
𝟒
(10+1)=¾ (11)
= 8.25
= 8
= 8th data
Therefore, 𝑸𝟑= 14
28. Deciles - values that divide the data set into 10 equal parts
- there are 9 deciles in each data set
Percentiles – values that divide the data set into 100 equal parts
- there are 99 percentiles in each data set
𝐷
1
𝐷
2 𝐷
3
𝐷
4 𝐷
5
𝐷
6 𝐷
7
𝐷
8
𝐷
9
𝑃
10
𝑃
20
𝑃 30
𝑃
40
𝑃
50
𝑃
60 𝑃
70
𝑃
80
𝑃
90
29. Deciles and percentiles are computed in the same way as
the quartiles. First, arrange the data in ascending order
then, locate the position of the unknown and ROUND UP
to the nearest integer and find the value that corresponds
to the computed position.
Position of 𝑫𝒊 =
𝒊
𝟏𝟎
(𝒏 + 𝟏)
Example:
* Mr. Lupo is an English teacher He is interested in the reading speed of his
students. The following are the number of words his students can read in one
minute.
50 25 23 30 42 20 13 16 16 10 12 11 11 11 19
Find the 7th Decile (𝐷7) and the 60th percentile (𝑃60).
Position of 𝑷𝒊 =
𝒊
𝟏𝟎𝟎
(𝒏 + 𝟏)
30. Data in ascending order:
10 11 11 11 12 13 16 16 19 20 23 25 30 42 50
Position of 𝐷7 =
7
10
(15 + 1)
=
7
10
(16)
=
112
10
= 11.2
The computed value becomes 12 after
rounding up to the nearest integer.
∴ 𝐷7 = 25
70% of the students can read less than or
equal to 25 words per minute and 30% of
the students can read more than or equal
to 25 words per minute.
Position of 𝑃60 =
60
100
(15 + 1)
=
60
100
(16)
=
960
100
= 9.6
The computed value becomes 10 after
rounding up to the nearest integer.
∴ 𝑃60 = 20
70% of the students can read less than
or equal to 25 words per minute and
30% of the students can read more
than or equal to 25 words per minute.