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

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Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 22PFA
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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
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
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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