and sol Inside the box. 1. Ten students were asked the usual number of hours they spent in using Tner mo phones in a week. Their responses gre 34, 12. 9.7. 25, 22. 15, 56, 2 and 42 hours. Find ihe range, variance and standard deviation.

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ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
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ACTIVITY 4. EXPLORING MEASURES OF VARIATION
Apply the procedures in Reading 3 to solve the measures of variation. Show your answer
and solution inside the box.
1. Ten students were asked the usual number of hours they spent in using their moolle
phones in a week. Their responses are 34, 12. 9.7. 25, 22. 15, 56, 2 and 42 hours. Find the
range, variance and standard deviation.
Page 14 of 18
Transcribed Image Text:ACTIVITY 4. EXPLORING MEASURES OF VARIATION Apply the procedures in Reading 3 to solve the measures of variation. Show your answer and solution inside the box. 1. Ten students were asked the usual number of hours they spent in using their moolle phones in a week. Their responses are 34, 12. 9.7. 25, 22. 15, 56, 2 and 42 hours. Find the range, variance and standard deviation. Page 14 of 18
PROBLEM SET. "LET'S TRY!" REAL-LIFE WORD PROBLEMS
This time you are very much prepared to accomplish the final assessment for this module. YoU
go back to page 1, "Let's Prepare" for the reminders and rubrics and be able to apply the
skills learned in the lessons given. Use the space provided after the word problems.
1. You flip four coins. Let a random variable X be the number of heads on all four coins.
List the sample space for the experiment and construct a probability distribution.
2. A survey was conducted in a certain barangay among 1000 families to determine the
distribution of families by size. The results are as follow:
Family Size
2
3
Number of families 300
7
12
8.
6.
209
207
80
69
123
Construct a probability distribution of random variable X, where X denotes the number
of persons in a randomly chosen family.
3. Calculate the variance and standard deviation of the following test data by hand.
Module Scores of 10 Students
57 75
22
99
15
33
100 81
62
29
4. The data set below gives the waiting times (in minutes) of several students at the school's
payment center.
11
14
2
8
13
6.
10
8
4
8
Compute for the variance and standard deviation.
5. The data set below gives the calories in a 1-ounce serving of several breakfast cereals.
Compute for the variance and standard deviation.
110
125
135
115
120
110
110
100
105
6. Kevin and Cyra play the hand game Rock-Paper-Scissors. List the sample space for this
experiment. Find the probability that Kevin will win if he chooses Rock.
7. Two fair dice are rolled. List the sample space of the experiment. What is the probability
that the sum is 7?
8. The top five Grade 11 students took a 100-item test with a passing score of 70. Their
Scores are shown below.
57
75
100
62
99
Two students were selected at random, list the sample space for the experiment. What
is the probability that both students selected at random passed the exam?
Transcribed Image Text:PROBLEM SET. "LET'S TRY!" REAL-LIFE WORD PROBLEMS This time you are very much prepared to accomplish the final assessment for this module. YoU go back to page 1, "Let's Prepare" for the reminders and rubrics and be able to apply the skills learned in the lessons given. Use the space provided after the word problems. 1. You flip four coins. Let a random variable X be the number of heads on all four coins. List the sample space for the experiment and construct a probability distribution. 2. A survey was conducted in a certain barangay among 1000 families to determine the distribution of families by size. The results are as follow: Family Size 2 3 Number of families 300 7 12 8. 6. 209 207 80 69 123 Construct a probability distribution of random variable X, where X denotes the number of persons in a randomly chosen family. 3. Calculate the variance and standard deviation of the following test data by hand. Module Scores of 10 Students 57 75 22 99 15 33 100 81 62 29 4. The data set below gives the waiting times (in minutes) of several students at the school's payment center. 11 14 2 8 13 6. 10 8 4 8 Compute for the variance and standard deviation. 5. The data set below gives the calories in a 1-ounce serving of several breakfast cereals. Compute for the variance and standard deviation. 110 125 135 115 120 110 110 100 105 6. Kevin and Cyra play the hand game Rock-Paper-Scissors. List the sample space for this experiment. Find the probability that Kevin will win if he chooses Rock. 7. Two fair dice are rolled. List the sample space of the experiment. What is the probability that the sum is 7? 8. The top five Grade 11 students took a 100-item test with a passing score of 70. Their Scores are shown below. 57 75 100 62 99 Two students were selected at random, list the sample space for the experiment. What is the probability that both students selected at random passed the exam?
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