Direction: Answer the following problems. 1. Calculate the mean, median and mode of the following sets of data. a. 14, 16, 8, 8, 10, 12, 9, 12, 13, 14, 8, 9, 5, 7, 11 b. 12.5, 15.5, 10.5, 10.2, 11.15, 9.5, 8.2, 18.3, 10.5, 10.5

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Exercise 4.2
Direction: Answer the following problems.
1. Calculate the mean, median and mode of the following sets of data.
14, 16, 8, 8,10, 12, 9, 12, 13, 14, 8, 9, 5, 7, 11
b. 12.5, 15.5, 10.5, 10.2, 11.15, 9.5, 8.2, 18.3, 10.5, 10.5
a.
2. Find the General Weighted Average of a student whose grades for a 3 unit subjects
such as Math, English, Filipino, Science, and Social Studies were 2.0, 1.8, 1.4, 2.2
and 2.5, respectively.
89
3. Heather's test scores are 81, 93, 74 and 95. What score must she get on the fifth test
in order to get a mean of 85 on all five tests?
4. The final grade of a student in six subjects are as follows:
Final Grade
Subject
Math in the Modern World
Readings in Phil. History
Wellness and Fitness
No. of Units
3
2.0
3
1.9
3
1.4
Understanding the Self
Masining na Pagpapahayag
Calculus 1
3
1.5
1.5
1.8
a. Determine his weighted mean grade.
b. If the subjects are of equal number of units, what would be the average grade of the
student?
Exercise 4.3
Direction: Solve the folowing problems.
1. Determine the range, variance and standard deviations of the following data sets.
a. 7, 8, 4, 3, 2, 3, 6, 5 and 7
b. 3, 6, 15, 18, 24, 12, and 10
c. 2, 8, 11, 17, 12, 6 and 4
The result of the college entrance examination of 10 students in a certain university were
as follows:
2.5, 3.4, 5.6, 3.8, 4.2, 2.8, 3.0, 3.0, 3.4, 4.2
Compute for the variance and standard deviation.
3. The newspaper company reported that samples of their weekly sales (in hundred
thousand pesos) are: 345, 452, 254, 137, 483, 515 and 218. Calculate and interpret the
variance and standard deviations.
4. A high school teacher at a small private school assigns trigonometry practice problems
to be worked via the net. Students must use a password to access the problems and the
time of log-in and log-off are automatically recorded for the teacher. At the end of the
week, the teacher examines the amount of time each student spent working the assigned
problems. The data is provided below in minutes.
15
22
22
22
28
43
33
20
25
49
27
39
48
34
25
Find the Range, Standard Deviation, and Variance for the above data.
90
Exercise 4.4
Answer each of the following questions.
1. Which of the following data values is the 50th percentile?
(1.52, 5.36, 6.79, 5.21, 0.28, 6.36, 8.47, 5.52, 6.26, 5.97)
? What is Q3 for the following data set?
Transcribed Image Text:Exercise 4.2 Direction: Answer the following problems. 1. Calculate the mean, median and mode of the following sets of data. 14, 16, 8, 8,10, 12, 9, 12, 13, 14, 8, 9, 5, 7, 11 b. 12.5, 15.5, 10.5, 10.2, 11.15, 9.5, 8.2, 18.3, 10.5, 10.5 a. 2. Find the General Weighted Average of a student whose grades for a 3 unit subjects such as Math, English, Filipino, Science, and Social Studies were 2.0, 1.8, 1.4, 2.2 and 2.5, respectively. 89 3. Heather's test scores are 81, 93, 74 and 95. What score must she get on the fifth test in order to get a mean of 85 on all five tests? 4. The final grade of a student in six subjects are as follows: Final Grade Subject Math in the Modern World Readings in Phil. History Wellness and Fitness No. of Units 3 2.0 3 1.9 3 1.4 Understanding the Self Masining na Pagpapahayag Calculus 1 3 1.5 1.5 1.8 a. Determine his weighted mean grade. b. If the subjects are of equal number of units, what would be the average grade of the student? Exercise 4.3 Direction: Solve the folowing problems. 1. Determine the range, variance and standard deviations of the following data sets. a. 7, 8, 4, 3, 2, 3, 6, 5 and 7 b. 3, 6, 15, 18, 24, 12, and 10 c. 2, 8, 11, 17, 12, 6 and 4 The result of the college entrance examination of 10 students in a certain university were as follows: 2.5, 3.4, 5.6, 3.8, 4.2, 2.8, 3.0, 3.0, 3.4, 4.2 Compute for the variance and standard deviation. 3. The newspaper company reported that samples of their weekly sales (in hundred thousand pesos) are: 345, 452, 254, 137, 483, 515 and 218. Calculate and interpret the variance and standard deviations. 4. A high school teacher at a small private school assigns trigonometry practice problems to be worked via the net. Students must use a password to access the problems and the time of log-in and log-off are automatically recorded for the teacher. At the end of the week, the teacher examines the amount of time each student spent working the assigned problems. The data is provided below in minutes. 15 22 22 22 28 43 33 20 25 49 27 39 48 34 25 Find the Range, Standard Deviation, and Variance for the above data. 90 Exercise 4.4 Answer each of the following questions. 1. Which of the following data values is the 50th percentile? (1.52, 5.36, 6.79, 5.21, 0.28, 6.36, 8.47, 5.52, 6.26, 5.97) ? What is Q3 for the following data set?
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