Problem 1. In a grade 7 MAPEH class, the weights of the students are the following: 57, 40, 55, 45, 56, 52, 48, 50, 41, 51, 50, 53, 48, 55, 38, 55, 52, 56, 51, 54. Find Q3, D4, and P70. Solution: a. Arrange the data in ascending order. b. The least value in the data is, and the greatest value is c. The median of the data is
Problem 1. In a grade 7 MAPEH class, the weights of the students are the following: 57, 40, 55, 45, 56, 52, 48, 50, 41, 51, 50, 53, 48, 55, 38, 55, 52, 56, 51, 54. Find Q3, D4, and P70. Solution: a. Arrange the data in ascending order. b. The least value in the data is, and the greatest value is c. The median of the data is
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 22PFA
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Problem 3.
Aqua Running has been promoted as a method for cardiovascular conditioning
for the injured athletes as well as for others who desire a low impact aerobic workout.
A study reported in the journal of Sports Medicine investigated the relationship
between exercise cadence and heart rate by measuring the heart rates of 20 healthy
volunteers at a cadence of 48 cycles per minute (a cycle consisted of two steps).
The data are listed below:
109 79 80
78
92
107 81 96
87
96
95
90
96 98
101 91
112 94
98
94
a. Find the lower and the upper quartiles of the data.
b. Determine Ds and Pso.
Problem 4.
Anthony is a secretary in one big company in General Santos City. His salary
is in the 7th decile. Should Anthony be glad about his salary or not? Explain your
answer.
AD
References
Mathematics 10 Learner's Material Pages 362 – 377
Mathematics 10 Teacher's Guide Pages 322 - 331
SSLM Development Team
Writer: Rostico D. Arco
Evaluators: Clarence S. Solis, Arlene E. Cometa
Illustrator: Rostico D. Arco
Creative Arts Designer: Reggie D. Galindez
Education Program Supervisor - Math: Zaida N. Abiera
Education Program Supervisor - Learning Resources: Sally A. Palomo
Curriculum Implementation Division Chief: Juliet F. Lastimosa
Asst. Schools Division Superintendent: Carlos G. Susarno, Ph. D.
Schools Division Superintendent: Romelito G. Flores, CESO V
GSC-CID-LRMS-ESSLM, v.r. 02.00, Effective April 21, 2021](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff2704df8-f4e1-4aa7-a377-b607fd9c515d%2F250e18cf-9b34-4b17-920e-d8412d5fcc85%2Fluo86st_processed.jpeg&w=3840&q=75)
Transcribed Image Text:GSC-CID-LRMS-ESSLM, v.r. 02.00, Effective April 21, 2021
Let Us Apply
Problem 3.
Aqua Running has been promoted as a method for cardiovascular conditioning
for the injured athletes as well as for others who desire a low impact aerobic workout.
A study reported in the journal of Sports Medicine investigated the relationship
between exercise cadence and heart rate by measuring the heart rates of 20 healthy
volunteers at a cadence of 48 cycles per minute (a cycle consisted of two steps).
The data are listed below:
109 79 80
78
92
107 81 96
87
96
95
90
96 98
101 91
112 94
98
94
a. Find the lower and the upper quartiles of the data.
b. Determine Ds and Pso.
Problem 4.
Anthony is a secretary in one big company in General Santos City. His salary
is in the 7th decile. Should Anthony be glad about his salary or not? Explain your
answer.
AD
References
Mathematics 10 Learner's Material Pages 362 – 377
Mathematics 10 Teacher's Guide Pages 322 - 331
SSLM Development Team
Writer: Rostico D. Arco
Evaluators: Clarence S. Solis, Arlene E. Cometa
Illustrator: Rostico D. Arco
Creative Arts Designer: Reggie D. Galindez
Education Program Supervisor - Math: Zaida N. Abiera
Education Program Supervisor - Learning Resources: Sally A. Palomo
Curriculum Implementation Division Chief: Juliet F. Lastimosa
Asst. Schools Division Superintendent: Carlos G. Susarno, Ph. D.
Schools Division Superintendent: Romelito G. Flores, CESO V
GSC-CID-LRMS-ESSLM, v.r. 02.00, Effective April 21, 2021
![Percentiles - are the ninety-nine score points which divide a distribution into one
hundred equal parts. Using the same example,
3
3 3
4 5
5 6
7
11
12
13 14 17 20 21
21 23 25
D1
D2
D3
D4
Ds
De
D7
De
De
P10
P20
P30
P40
P50
Peo
P70
P80
P90
The first decile is the 10th percentile (P10). It means 10% of the data is less than
or equal to the value of P10 or Di and so on. In our example above P10 = 3, P20 = 4,
and so on as the arrow indicated.
GSC-CID-LRMS-ESSLM, v.r. 02.00, Effective April 21, 2021
Let Us Try
Problem 1.
In a grade 7 MAPEH class, the weights of the students are the following: 57,
40, 55, 45, 56, 52, 48, 50, 41, 51, 50, 53, 48, 55, 38, 55, 52, 56, 51, 54. Find Q3, D4,
and P70.
Solution:
a. Arrange the data in ascending order.
-
b. The least value in the data is
c. The median of the data
d. The upper quartile (Q3) is halfway from the median to the greatest data value.
and the greatest value is
Q3 =.
e. Fourth decile (D4) is the fourth part of the distribution divided into ten equal parts.
So D4 =
f. P70 is just equal to D7, therefore P70 =
Let Us Do
Problem 2.
The growth (in centimeters) of a certain variety of plant after 20 days is shown
below.
20, 12, 39, 38, 41, 43, 51, 52, 59, 55, 53, 59, 50, 58, 35, 38, 23, 32, 43, 53.
For this information, determine the following:
1. D2
2. Q1
3. Median
4. 7th decile
5. Pao](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff2704df8-f4e1-4aa7-a377-b607fd9c515d%2F250e18cf-9b34-4b17-920e-d8412d5fcc85%2F7kuwiac_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Percentiles - are the ninety-nine score points which divide a distribution into one
hundred equal parts. Using the same example,
3
3 3
4 5
5 6
7
11
12
13 14 17 20 21
21 23 25
D1
D2
D3
D4
Ds
De
D7
De
De
P10
P20
P30
P40
P50
Peo
P70
P80
P90
The first decile is the 10th percentile (P10). It means 10% of the data is less than
or equal to the value of P10 or Di and so on. In our example above P10 = 3, P20 = 4,
and so on as the arrow indicated.
GSC-CID-LRMS-ESSLM, v.r. 02.00, Effective April 21, 2021
Let Us Try
Problem 1.
In a grade 7 MAPEH class, the weights of the students are the following: 57,
40, 55, 45, 56, 52, 48, 50, 41, 51, 50, 53, 48, 55, 38, 55, 52, 56, 51, 54. Find Q3, D4,
and P70.
Solution:
a. Arrange the data in ascending order.
-
b. The least value in the data is
c. The median of the data
d. The upper quartile (Q3) is halfway from the median to the greatest data value.
and the greatest value is
Q3 =.
e. Fourth decile (D4) is the fourth part of the distribution divided into ten equal parts.
So D4 =
f. P70 is just equal to D7, therefore P70 =
Let Us Do
Problem 2.
The growth (in centimeters) of a certain variety of plant after 20 days is shown
below.
20, 12, 39, 38, 41, 43, 51, 52, 59, 55, 53, 59, 50, 58, 35, 38, 23, 32, 43, 53.
For this information, determine the following:
1. D2
2. Q1
3. Median
4. 7th decile
5. Pao
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